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e=3D3>When
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22
  and he was 52, balding and suffering from epilepsy!</font><br>
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e=3D3><b>48-47</b>
  Caesar becomes involved in Egyptian dynastic struggles</font><br>
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 <tr>
  <td colspan=3D1></td>
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e=3D3><b>48</b>
  Caesar consul for second time.Caesar crosses to Greece, defeats Pompey at
  Pharsalus. Pompey flees to Egypt where he is stabbed to death on landing.
  Caesar in Egypt. Alexandrine War. Caesar makes Cleopatra queen of Egypt.<=
/font><br>
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e=3D3><b>47</b>
  Caesar dictator for second time in his absence. Caesar defeats King Pharn=
aces
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 <tr>
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e=3D3><b>46</b>
  Caesar crushes surviving Pompeian forces under Scipio and Cato at Thapsus.
  Caesar dictator second time, consul third time. Cato commits suicide. Cae=
sar
  returns to Rome, reforms calendar. Caesar leaves for Spain.</font><br>
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  Caesar dictator third time, consul fourth time. In battle at Munda in Spa=
in
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  Caesar dictator fourth time (for life), consul fifth time. March 15, Caes=
ar
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op:4.75%;
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r-index:
 5'><i>The Roman Calendar Before </i></span></span><span style=3D'position:=
absolute;
 top:14.49%;left:6.92%;width:88.2%;height:9.25%'><span style=3D'color:#3333=
CC;
 mso-color-index:5'><i>Cleopatra</i></span></span></div>
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op:30.0%;
 left:12.17%;width:93.82%;height:6.75%'><span class=3DBB style=3D'position:=
absolute;
 left:-3.99%'>&#8226;</span>Begins in 753 BC (4<span style=3D'font-size:66%;
 position:relative;top:-.45em;mso-text-raise:30%'>th</span><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>year of 6<span style=3D'font-size:=
66%;
 position:relative;top:-.45em;mso-text-raise:30%'>th</span><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>Olympiad, </span><span style=3D'po=
sition:
 absolute;top:37.0%;left:12.17%;width:79.4%;height:6.75%'>the first being in
 776 BC)&#13;</span><span style=3D'position:absolute;top:45.75%;left:12.17%;
 width:92.69%;height:6.75%'><span class=3DBB style=3D'position:absolute;lef=
t:-4.04%'>&#8226;</span>By
 tradition Romulus introduced a 304 day </span><span style=3D'position:abso=
lute;
 top:52.75%;left:12.17%;width:79.4%;height:6.75%'>calendar consisting of 10
 months&#13;</span><span style=3D'position:absolute;top:61.25%;left:12.17%;
 width:91.57%;height:6.75%'><span class=3DBB style=3D'position:absolute;lef=
t:-4.08%'>&#8226;</span>About
 675 BC Numa added two months to </span><span style=3D'position:absolute;
 top:68.25%;left:12.17%;width:79.4%;height:6.75%'>make 355 days and a 22 day
 month </span><span style=3D'position:absolute;top:75.5%;left:12.17%;width:=
79.4%;
 height:6.75%'><i>Mercedonius</i> every second year<span style=3D'mso-speci=
al-format:
 lastCR;display:none'><i>&#13;</i></span></span></div>
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<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The
  Olympiad of 776 is the first one for which there is a list of winners.<sp=
an
  style=3D'mso-spacerun:yes'>&nbsp; </span>So that date is itself in some d=
oubt.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Mercedonius
  comes from the Latin <i>merces</i> meaning wages and was likely when work=
ers
  were paid.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Mercenary comes =
from
  the same root.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>At this
  time&#8212;around 600 to 700 BC the years were tallied according to the y=
ear
  of the current king.</font><br>
  </td>
 </tr>
</table>

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75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Month Names</i></span></div>
 <div v:shape=3D"_x0000_s8195" class=3DB>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:29.5%;left:=
8.42%;
 width:85.58%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=
37%;
 width:95.62%;height:100.0%'><span style=3D'font-size:75%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>January:<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>for </b></span><span style=3D'font-size:75%'><b><i>Janus</i></b></s=
pan><span
 style=3D'font-size:75%'><b> the doorkeeper&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:35.25%;
 left:8.42%;width:85.58%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.37%;width:95.62%;height:100.0%'><span style=3D'font-size:75%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>February:<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>for </b></span><span style=3D'font-size:75%'><b><i>Februalia</i></b=
></span><span
 style=3D'font-size:75%'><b> =3D sacrifice time&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:41.25%;
 left:8.42%;width:85.58%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.37%;width:95.62%;height:100.0%'><span style=3D'font-size:75%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>March (Martius):<span style=3D'mso-spacerun:yes=
'>&nbsp;
 </span>for </b></span><span style=3D'font-size:75%'><b><i>Mars</i></b></sp=
an><span
 style=3D'font-size:75%'><b> =3D war time&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:47.0%;left:=
8.42%;
 width:85.58%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=
37%;
 width:95.62%;height:100.0%'><span style=3D'font-size:75%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>April:<span style=3D'mso-spacerun:yes'>&nbsp; <=
/span></b></span><span
 style=3D'font-size:75%'><b><i>Aprilis</i></b></span><span style=3D'font-si=
ze:75%'><b>
 =3D &#8220;to open&#8221; =3D Spring&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:53.0%;left:=
8.42%;
 width:85.58%;height:5.25%'><span style=3D'position:absolute;top:0%;left:4.=
37%;
 width:95.62%;height:100.0%'><span style=3D'font-size:75%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>May:<span style=3D'mso-spacerun:yes'>&nbsp; </s=
pan></b></span><span
 style=3D'font-size:75%'><b><i>Maia</i></b></span><span style=3D'font-size:=
75%'><b>
 =3D goddess of growth&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:58.75%;
 left:8.42%;width:85.58%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.37%;width:95.62%;height:100.0%'><span style=3D'font-size:75%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>June:<span style=3D'mso-spacerun:yes'>&nbsp; </=
span></b></span><span
 style=3D'font-size:75%'><b><i>Juvenis</i></b></span><span style=3D'font-si=
ze:75%'><b>
 =3D &#8220;youth&#8221;&#13;</b></span></span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:64.75%;
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'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.57%;top:.15em=
'>&#8226;</span></span><span
 style=3D'font-size:75%'><b>July (formerly </b></span><span style=3D'font-s=
ize:
 75%'><b><i>Quintilis</i></b></span><span style=3D'font-size:88%'>)</span><=
span
 style=3D'font-size:75%'><b> :<span style=3D'mso-spacerun:yes'>&nbsp; </spa=
n>Julius
 Caesar&#13;</b></span></span></div>
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 width:95.62%;height:100.0%'><span style=3D'font-size:75%'><span
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'>&#8226;</span></span><span
 style=3D'font-size:75%'><b>August (formerly </b></span><span style=3D'font=
-size:
 75%'><b><i>Sextilis</i></b></span><span style=3D'font-size:88%'>)</span><s=
pan
 style=3D'font-size:75%'><b> :<span style=3D'mso-spacerun:yes'>&nbsp; </spa=
n>Caesar
 Augustus&#13;</b></span></span></div>
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:75%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.81%'>&#8226;<=
/span></span><span
 style=3D'font-size:75%'><b>September to December =3D months 7 to 10, begin=
ning
 with </b></span></span><span style=3D'position:absolute;top:83.0%;left:12.=
17%;
 width:95.69%;height:5.25%'><span style=3D'font-size:75%'><b>March before N=
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7"
 src=3D"slide0004_image007.gif" style=3D'position:absolute;top:27.75%;left:=
72.47%;
 width:27.9%;height:12.75%'><![endif]>
 <div v:shape=3D"_x0000_s8197" class=3DO style=3D'text-align:center'><span
 style=3D'position:absolute;top:28.74%;left:81.08%;width:17.97%;height:5.25=
%'>Added
 by </span><span style=3D'position:absolute;top:34.25%;left:81.08%;width:17=
.97%;
 height:5.25%'>Numa</span></div>
</p:slide></div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Many
  ancient calendars were based on the lunar cycle. The lunar month is 29.53=
0589
  days and the number of lunations in a year is 12.368267. The most common
  scheme was to have 12 months of 30 days with either arbitrary or calculat=
ed
  additional days or months to bring the system into accord with the solar
  year.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Originally
  the Roman calendar had 10 months Martius (named after Mars and indicating=
 the
  time for resumption of war), Aprilis (after the word for `to open', hence
  Spring), Maius (after Maia, the goddess of growth), Junius (after juvenis,
  meaning youth), Quintilius, Sextilis, Septembris, Octobris, Novembris and
  Decembris (meaning the fifth to tenth months). The Romans had a dislike of
  even numbers as these symbolized death and so the months had either 29 or=
 31
  days. King Numa (or whoever since it was done by 153<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>BC) increased the number of mont=
hs to
  12 by introducing Januarius (after the god Janus, the protector of doorwa=
ys
  and hence the opening of the year) and Februarius (after Februalia, the t=
ime
  for sacrifices at the end of the year). The order of the months was later
  changed.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>In order
  to reconcile the solar and lunar years, at the recommendation of Sosigenes
  Julius Caesar altered the lengths of the months and the change to our pre=
sent
  format was completed by Caesar Augustus. They both claimed the names of o=
ne
  of the months and this gave rise to Julius and Augustus which replaced
  Quintilius and Sextilis.</font><br>
  </td>
 </tr>
</table>

</div>

<![endif]>
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 colors=3D"#ffffff,#000000,#808080,#000000,#00cc99,#3333cc,#ccccff,#b2b2b2"
 masterhref=3D"master03.xml">
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 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>What Were the Big Issues?</i></span></div>
 <div v:shape=3D"_x0000_s10243" class=3DB><span style=3D'position:absolute;
 top:30.0%;left:12.17%;width:90.07%;height:6.0%'><span style=3D'font-size:8=
8%'><span
 class=3DBB style=3D'position:absolute;left:-4.15%'>&#8226;</span></span><s=
pan
 style=3D'font-size:88%'>The Pontifex Maximus or the Pontifical College </s=
pan></span><span
 style=3D'position:absolute;top:36.25%;left:12.17%;width:84.08%;height:6.0%=
'><span
 style=3D'font-size:88%'>changed intercalary days based on politics or </sp=
an></span><span
 style=3D'position:absolute;top:42.5%;left:12.17%;width:79.4%;height:6.0%'>=
<span
 style=3D'font-size:88%'>whimsy&#13;</span></span><span style=3D'position:a=
bsolute;
 top:50.0%;left:12.17%;width:79.58%;height:6.0%'><span style=3D'font-size:8=
8%'><span
 class=3DBB style=3D'position:absolute;left:-4.7%'>&#8226;</span></span><sp=
an
 style=3D'font-size:88%'>Even done correctly the cycle over 4 years </span>=
</span><span
 style=3D'position:absolute;top:56.0%;left:12.17%;width:79.4%;height:6.0%'>=
<span
 style=3D'font-size:88%'>averaged 366.25 days&#13;</span></span><span
 style=3D'position:absolute;top:63.5%;left:12.17%;width:94.75%;height:6.0%'=
><span
 style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=
3.95%'>&#8226;</span></span><span
 style=3D'font-size:88%'>Preoccupation with Hannibal meant no corrections <=
/span></span><span
 style=3D'position:absolute;top:69.75%;left:12.17%;width:84.45%;height:6.0%=
'><span
 style=3D'font-size:88%'>and by 190 BC the calendar was ahead of the </span=
></span><span
 style=3D'position:absolute;top:76.0%;left:12.17%;width:79.4%;height:6.0%'>=
<span
 style=3D'font-size:88%'>seasons by 119 days</span></span></div>
</p:slide></div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>One of
  the things the Pontifices did was extend the year so as to extend the ter=
ms
  of magistrates they liked.!</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>In 50 BC
  Cicero was complaining on February 13 that no one knew whether an interca=
lary
  month would be declared in 10 days or not!</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Martius,
  Maia, Quintilis, and October had 31 days; Januarius, Aprilis, Junius, and
  December had 29; Februarius had 28.<span style=3D'mso-spacerun:yes'>&nbsp;
  </span>30-day months were eschewed because the Romans were partial to odd
  numbers.<span style=3D'mso-spacerun:yes'>&nbsp; </span>One MUST be even.<=
/font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Livy
  recorded an eclipse on July 11 of 190 BC, but astronomers can calculate t=
hat
  the eclipse really occurred on March 14</font><br>
  </td>
 </tr>
</table>

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.75%;
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333CC;
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 <div v:shape=3D"_x0000_s12291">
 <div class=3DB><span style=3D'position:absolute;top:30.0%;left:12.17%;widt=
h:79.4%;
 height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.71%'>&#8=
226;</span>While
 dallying in Alexandria he met </span><span style=3D'position:absolute;
 top:37.0%;left:12.17%;width:85.95%;height:6.75%'>Sosigenes and talked of
 calendar reform&#13;</span></div>
 <div class=3DB style=3D'position:absolute;top:45.75%;left:8.42%;width:94.9=
4%;
 height:6.75%'><span style=3D'position:absolute;top:0%;left:3.94%;width:96.=
05%;
 height:100.0%'><span class=3DBB style=3D'position:absolute;left:-4.1%'>&#8=
226;</span>Acting
 on Sosigenes recommendations he:&#13;</span></div>
 <div class=3DB1 style=3D'position:absolute;top:54.0%;left:13.48%;width:78.=
08%;
 height:6.0%'><span style=3D'position:absolute;top:0%;left:4.07%;width:96.1=
6%;
 height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-4.23%'>&=
#8211;</span>Added
 10 days to the existing 355&#13;</span></div>
 <div class=3DB1 style=3D'position:absolute;top:61.5%;left:13.48%;width:78.=
08%;
 height:6.0%'><span style=3D'position:absolute;top:0%;left:4.07%;width:96.16=
%;
 height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-4.23%'>&=
#8211;</span>Established
 the leap year rule&#13;</span></div>
 <div class=3DB1><span style=3D'position:absolute;top:69.0%;left:16.66%;wid=
th:82.95%;
 height:6.0%'><span class=3DB1B style=3D'position:absolute;left:-3.83%'>&#8=
211;</span>Added
 90 days to 46 BC making it 445 days </span><span style=3D'position:absolut=
e;
 top:75.0%;left:16.66%;width:79.77%;height:6.0%'>and pulling the vernal equ=
inox
 back to late </span><span style=3D'position:absolute;top:81.25%;left:16.66=
%;
 width:75.09%;height:6.0%'>March from late June</span></div>
 </div>
</p:slide></div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
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 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Most
  contend that Caesar was intend on pulling the vernal equinox back to Marc=
h 25
  and argue that that is the traditional beginning of the Roman year.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>In fact the 90 days placed the e=
quinox
  around March 22, 23 according to Steel&#8217;s reconstruction.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>Others say that it pulled the da=
te
  back to March 25.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Check the
  argument given by Duncan Steel.</font><br>
  </td>
 </tr>
</table>

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onkeypress=3D"_KPH()">

<div id=3DSlideObj class=3Dsld style=3D'position:absolute;top:0px;left:0px;
width:534px;height:400px;font-size:16px;background-color:white;clip:rect(0%=
, 101%, 101%, 0%);
visibility:hidden'><p:slide coordsize=3D"720,540"
 colors=3D"#ffffff,#000000,#808080,#000000,#00cc99,#3333cc,#ccccff,#b2b2b2"
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 <p:shaperange href=3D"master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
  href=3D"master03.xml#_x0000_s1028"/><p:shaperange
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.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Lengths Of The Months</i></span><span style=3D'mso-s=
pecial-format:
 lastCR;display:none'>&#13;</span></div>
 <div v:shape=3D"_x0000_s26722" class=3DO>
 <div style=3D'position:absolute;top:25.25%;left:18.53%;width:74.9%;height:=
4.25%'><span
 style=3D'font-size:83%'>Month<span style=3D'mso-tab-count:2;width:16.82%'>=
 </span>Pre-Julian<span
 style=3D'mso-tab-count:2;width:25.05%'> </span>Post-Julian&#13;</span></di=
v>
 <div style=3D'position:absolute;top:29.75%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>Januarius<span style=3D'mso-tab-count:1;width:15.0=
1%'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</span></div>
 <div style=3D'position:absolute;top:34.25%;left:18.53%;width:71.16%;height=
:4.25%'><span
 style=3D'font-size:83%'>Februarius <span style=3D'mso-tab-count:1;width:10=
.46%'> </span>28<span
 style=3D'mso-tab-count:3;width:38.25%'> </span>28/29**&#13;</span></div>
 <div style=3D'position:absolute;top:38.75%;left:18.53%;width:63.1%;height:=
4.25%'><span
 style=3D'font-size:83%'>(Intercalaris*<span style=3D'mso-tab-count:1;width=
:8.3%'> </span>22
 or 23)&#13;</span></div>
 <div style=3D'position:absolute;top:43.25%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>Marius<span style=3D'mso-tab-count:2;width:19.14%'=
> </span>31<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</span></div>
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4.25%'><span
 style=3D'font-size:83%'>Aprilis<span style=3D'mso-tab-count:2;width:19.38%=
'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>30&#13;</span></div>
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4.25%'><span
 style=3D'font-size:83%'>Maius<span style=3D'mso-tab-count:2;width:20.59%'>=
 </span>31<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</span></div>
 <div style=3D'position:absolute;top:56.49%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>Junius<span style=3D'mso-tab-count:2;width:20.34%'=
> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>30&#13;</span></div>
 <div style=3D'position:absolute;top:61.0%;left:18.53%;width:63.48%;height:=
4.25%'><span
 style=3D'font-size:83%'>Quintilis<span style=3D'mso-tab-count:2;width:16.2=
4%'> </span>31<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</span></div>
 <div style=3D'position:absolute;top:65.25%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>Sextilis<span style=3D'mso-tab-count:2;width:18.43=
%'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>30&#13;</span></div>
 <div style=3D'position:absolute;top:69.75%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>September<span style=3D'mso-tab-count:1;width:12.8=
2%'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>30&#13;</span></div>
 <div style=3D'position:absolute;top:74.25%;left:18.53%;width:63.48%;height=
:4.25%'><span
 style=3D'font-size:83%'>October<span style=3D'mso-tab-count:2;width:17.41%=
'> </span>31<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</span></div>
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:4.25%'><span
 style=3D'font-size:83%'>November<span style=3D'mso-tab-count:1;width:13.04=
%'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>30&#13;</span></div>
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:4.25%'><span
 style=3D'font-size:83%'><u>December<span style=3D'mso-tab-count:1;width:13=
.53%'> </span>29<span
 style=3D'mso-tab-count:3;width:42.87%'> </span>31&#13;</u></span></div>
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4.25%'><span
 style=3D'font-size:83%'>Total<span style=3D'mso-tab-count:2;width:18.98%'>=
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 <p:shaperange href=3D"master03.xml#_x0000_s1025"/><![if !ppt]><p:shaperange
  href=3D"master03.xml#_x0000_s1028"/><p:shaperange
  href=3D"master03.xml#_x0000_s1029"/><![endif]><p:shaperange
  href=3D"master03.xml#_x0000_m1026"/><p:shaperange
  href=3D"slide0007.xml#_x0000_s14338"/><![if !vml]><img border=3D0
 v:shapes=3D"_x0000_s14339,_x0000_s14340,_x0000_s14341,_x0000_s14342,_x0000=
_s14343,_x0000_s14344,_x0000_s14345,_x0000_s14346,_x0000_s14347,_x0000_s143=
48,_x0000_s14349,_x0000_s14350,_x0000_s14351,_x0000_s14352,_x0000_s14353,_x=
0000_s14354,_x0000_s14355,_x0000_s14356,_x0000_s14357,_x0000_s14358,_x0000_=
s14359,_x0000_s14360,_x0000_s14361,_x0000_s14362,_x0000_s14363,_x0000_s1436=
4,_x0000_s14365,_x0000_s14366,_x0000_s14367,_x0000_s14368,_x0000_s14369,_x0=
000_s14370,_x0000_s14371,_x0000_s14372,_x0000_s14373,_x0000_s14374,_x0000_s=
14375,_x0000_s14376,_x0000_s14377,_x0000_s14378,_x0000_s14379,_x0000_s14380=
,_x0000_s14381,_x0000_s14382,_x0000_s14383,_x0000_s14384,_x0000_s14385,_x00=
00_s14386,_x0000_s14387,_x0000_s14388,_x0000_s14389,_x0000_s14390"
 src=3D"slide0007_image009.gif" style=3D'position:absolute;top:28.74%;left:=
19.85%;
 width:75.46%;height:59.75%'><![endif]>
 <div v:shape=3D"_x0000_s14338" class=3DT style=3D'position:absolute;top:12=
.5%;
 left:7.67%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>The Astrological Saturday</i></span></div>
 <div v:shape=3D"_x0000_s14340">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.5=
%;
 left:64.98%;width:6.92%;height:6.0%'>[4]</div>
 </div>
 <div v:shape=3D"_x0000_s14341">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.5=
%;
 left:57.11%;width:5.99%;height:6.0%'>21</div>
 </div>
 <div v:shape=3D"_x0000_s14342">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.5=
%;
 left:50.0%;width:5.24%;height:6.0%'>14</div>
 </div>
 <div v:shape=3D"_x0000_s14343">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.5=
%;
 left:41.38%;width:6.74%;height:6.0%'>7</div>
 </div>
 <div v:shape=3D"_x0000_s14344">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:80.5=
%;
 left:20.97%;width:18.53%;height:6.0%'>Moon</div>
 </div>
 <div v:shape=3D"_x0000_s14345">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.0=
%;
 left:64.98%;width:6.92%;height:6.0%'>[3]</div>
 </div>
 <div v:shape=3D"_x0000_s14346">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.0=
%;
 left:57.11%;width:5.99%;height:6.0%'>20</div>
 </div>
 <div v:shape=3D"_x0000_s14347">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.0=
%;
 left:50.0%;width:5.24%;height:6.0%'>13</div>
 </div>
 <div v:shape=3D"_x0000_s14348">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.0=
%;
 left:41.38%;width:6.74%;height:6.0%'>6</div>
 </div>
 <div v:shape=3D"_x0000_s14349">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:72.0=
%;
 left:20.97%;width:18.53%;height:6.0%'>Mercury</div>
 </div>
 <div v:shape=3D"_x0000_s14350">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:63.5=
%;
 left:64.98%;width:6.92%;height:6.0%'>[2]</div>
 </div>
 <div v:shape=3D"_x0000_s14351">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:63.5=
%;
 left:57.11%;width:5.99%;height:6.0%'>19</div>
 </div>
 <div v:shape=3D"_x0000_s14352">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:63.5=
%;
 left:50.0%;width:5.24%;height:6.0%'>12</div>
 </div>
 <div v:shape=3D"_x0000_s14353">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:63.5=
%;
 left:41.38%;width:6.74%;height:6.0%'>5</div>
 </div>
 <div v:shape=3D"_x0000_s14354">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:63.5=
%;
 left:20.97%;width:18.53%;height:6.0%'>Venus</div>
 </div>
 <div v:shape=3D"_x0000_s14355">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:55.2=
5%;
 left:64.98%;width:6.92%;height:6.0%'>[1]</div>
 </div>
 <div v:shape=3D"_x0000_s14356">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:55.2=
5%;
 left:57.11%;width:5.99%;height:6.0%'>18</div>
 </div>
 <div v:shape=3D"_x0000_s14357">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:55.2=
5%;
 left:50.0%;width:5.24%;height:6.0%'>11</div>
 </div>
 <div v:shape=3D"_x0000_s14358">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:55.2=
5%;
 left:41.38%;width:6.74%;height:6.0%'>4</div>
 </div>
 <div v:shape=3D"_x0000_s14359">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:55.2=
5%;
 left:20.97%;width:18.53%;height:6.0%'>Sun</div>
 </div>
 <div v:shape=3D"_x0000_s14360">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:46.7=
5%;
 left:64.98%;width:6.92%;height:6.0%'>24</div>
 </div>
 <div v:shape=3D"_x0000_s14361">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:46.7=
5%;
 left:57.11%;width:5.99%;height:6.0%'>17</div>
 </div>
 <div v:shape=3D"_x0000_s14362">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:46.7=
5%;
 left:50.0%;width:5.24%;height:6.0%'>10</div>
 </div>
 <div v:shape=3D"_x0000_s14363">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:46.7=
5%;
 left:41.38%;width:6.74%;height:6.0%'>3</div>
 </div>
 <div v:shape=3D"_x0000_s14364">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:46.7=
5%;
 left:20.97%;width:18.53%;height:6.0%'>Mars</div>
 </div>
 <div v:shape=3D"_x0000_s14365">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:38.5=
%;
 left:64.98%;width:6.92%;height:6.0%'>23</div>
 </div>
 <div v:shape=3D"_x0000_s14366">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:38.5=
%;
 left:57.11%;width:5.99%;height:6.0%'>16</div>
 </div>
 <div v:shape=3D"_x0000_s14367">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:38.5=
%;
 left:50.0%;width:5.24%;height:6.0%'>9</div>
 </div>
 <div v:shape=3D"_x0000_s14368">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:38.5=
%;
 left:41.38%;width:6.74%;height:6.0%'>2</div>
 </div>
 <div v:shape=3D"_x0000_s14369">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:38.5=
%;
 left:20.97%;width:18.53%;height:6.0%'>Jupiter</div>
 </div>
 <div v:shape=3D"_x0000_s14370">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:30.0=
%;
 left:64.98%;width:6.92%;height:6.0%'>22</div>
 </div>
 <div v:shape=3D"_x0000_s14371">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:30.0=
%;
 left:57.11%;width:5.99%;height:6.0%'>15</div>
 </div>
 <div v:shape=3D"_x0000_s14372">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:30.0=
%;
 left:50.0%;width:5.24%;height:6.0%'>8</div>
 </div>
 <div v:shape=3D"_x0000_s14373">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:30.0=
%;
 left:41.38%;width:6.74%;height:6.0%'>1</div>
 </div>
 <div v:shape=3D"_x0000_s14374">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:30.0=
%;
 left:20.97%;width:18.53%;height:6.0%'>Saturn</div>
 </div>
 <div v:shape=3D"_x0000_s14389" class=3DO style=3D'text-align:center'><span
 style=3D'position:absolute;top:64.5%;left:84.45%;width:9.73%;height:5.25%'=
>Next </span><span
 style=3D'position:absolute;top:69.75%;left:84.45%;width:9.73%;height:5.25%=
'>Day</span></div>
</p:slide>
</div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The
  notion of a planetary week seems to come around the time of Alexander the
  Great.<span style=3D'mso-spacerun:yes'>&nbsp; </span>He conquered Asian M=
inor
  between 336 BC and 323 BC.<span style=3D'mso-spacerun:yes'>&nbsp; </span>=
The
  assignment of planets to days spread from there to Egypt and persisted
  throughout Europe well into mediaeval times and beyond.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>One can find references in Roger=
 Bacon
  for example.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Note that this
  ordering has nothing at all to do with the actual heliocentric order of t=
he
  planets,moon and sun: Sun, Mercury, Venus, the Moon (Earth),<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>Mars, Jupiter and Saturn.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>Nor does it have anything to do =
with
  brightness or some periodicity.<span style=3D'mso-spacerun:yes'>&nbsp;
  </span>It was probably determined by the relative speed with which each b=
ody
  moved against the field of fixed stars.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The
  planet assigned to the first hour is the REGENT of that and the others are
  CONTROLLERS of the subsequent hours.<span style=3D'mso-spacerun:yes'>&nbs=
p;
  </span>In a similar way, the month and year were assigned Regents.</font>=
<br>
  </td>
 </tr>
</table>

</div>

<![endif]>
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333CC;
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pan
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pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Monday:<s=
pan
 style=3D'mso-spacerun:yes'>&nbsp; </span>For the Moon&#13;</span></div>
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75%'><span
 style=3D'position:absolute;top:0%;left:4.04%;width:95.95%;height:100.0%'><=
span
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span
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 Mars&#13;</span></div>
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.75%'><span
 style=3D'position:absolute;top:0%;left:4.41%;width:95.36%;height:100.0%'><=
span
 class=3DBB style=3D'position:absolute;left:-4.62%'>&#8226;</span>Wednesday=
:<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>For Woden (=3D Mercury)&#13;</spa=
n></div>
 <div style=3D'position:absolute;top:64.0%;left:8.42%;width:83.14%;height:6=
.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Thursday:=
<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>For Thor (=3D Jupiter)&#13;</span=
></div>
 <div style=3D'position:absolute;top:72.5%;left:8.42%;width:83.14%;height:6=
.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Friday:<s=
pan
 style=3D'mso-spacerun:yes'>&nbsp; </span>For Freya (=3D Venus)&#13;</span>=
</div>
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.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Saturday:=
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<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
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  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D2><b>The
  Week</b> Mosaic law forbidding work on every seventh day established a
  seven-day period as a measure of Jewish time. This passed over into the
  Christian church and gradually became established in the Roman calendar. =
The
  astrological practice of naming the days using the names of the Sun, Moon=
 and
  the five known planets also yielded a seven day period.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D2>The
  names that we give to the days of the week are still based on this
  nomenclature. In English Sunday and Monday are named after the Sun and Mo=
on
  while the other days of the week are named after the teutonic versions of=
 the
  gods that correspond to each planet. Tiu =3D Mars, Woden =3D Mercury, Tho=
r =3D
  Jupiter and Freya =3D Venus, Saturday keeping its latin connection with S=
aturn.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D2>Britannica
  says Freya is really Frigg the wife of Odin (Woden).<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>In contrast to Duncan Steel, the=
<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>Merriam/Webster says:</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Trebuchet MS" size=
=3D2>Etymology:
  Middle English <i>saterday, </i>from Old English <i>s&aelig;ternd&aelig;g=
 </i>(akin
  to Old Frisian <i>sAterdei</i>), from Latin <i>Saturnus </i>Saturn + Old
  English <i>d&aelig;g </i>day</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
</table>

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<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
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  <td width=3D"100%"></td>
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  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The
  &#8220;Cross of Gold&#8221; was probably a &#8220;Sun Dog&#8221; caused by
  the reflections or scattering of sunlight of ice crystals.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>It occurred in the late fall at a
  place called Mulvian Bridge where a great battle took place.<span
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e=3D3>The
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eed
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n>The
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 </v:shape><v:shape id=3D"_x0000_s21509" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:300pt;top:474pt;width:420pt;height:36pt' filled=3D"f" fillcolor=3D"#=
0c9 [4]"
  stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
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  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape><v:shape id=3D"_x0000_s21510" type=3D"#_x0000_t202" style=3D'pos=
ition:absolute;
  left:430.75pt;top:299.375pt;width:85.25pt;height:36pt' filled=3D"f"
  fillcolor=3D"#0c9 [4]" stroked=3D"f" strokecolor=3D"black [1]">
  <v:fill color2=3D"white [0]"/>
  <v:shadow color=3D"gray [2]"/>
  <v:textbox style=3D'mso-fit-shape-to-text:t'/>
 </v:shape>
 <div v:shape=3D"_x0000_s21507" class=3DT style=3D'text-align:left;position=
:absolute;
 top:8.75%;left:38.57%;width:55.61%;height:7.5%'><span style=3D'font-size:8=
2%;
 color:#3333CC;mso-color-index:5'><i>The Council of Nicaea</i></span></div>
 <div v:shape=3D"_x0000_s21508" class=3DO>
 <div style=3D'mso-line-spacing:"100 50 0"'><span style=3D'position:absolut=
e;
 top:21.5%;left:4.3%;width:41.94%;height:4.0%'><span style=3D'font-family:A=
rial;
 font-size:75%;color:black'>The town of IZNIK (Nicaea) lies </span></span><=
span
 style=3D'position:absolute;top:25.5%;left:4.3%;width:37.45%;height:4.0%'><=
span
 style=3D'font-family:Arial;font-size:75%;color:black'>on the eastern shore=
s of
 the </span></span><span style=3D'position:absolute;top:29.5%;left:4.3%;
 width:37.45%;height:4.0%'><span style=3D'font-family:Arial;font-size:75%;
 color:black'>lake of the same name. The </span></span><span style=3D'posit=
ion:
 absolute;top:33.5%;left:4.3%;width:38.95%;height:4.0%'><span style=3D'font=
-family:
 Arial;font-size:75%;color:black'>town is in the city limits of the </span>=
</span><span
 style=3D'position:absolute;top:37.5%;left:4.3%;width:42.13%;height:4.0%'><=
span
 style=3D'font-family:Arial;font-size:75%;color:black'>'green' Bursa and it=
 is 79
 km far </span></span><span style=3D'position:absolute;top:41.5%;left:4.3%;
 width:36.51%;height:4.0%'><span style=3D'font-family:Arial;font-size:75%;
 color:black'>from the city center. Its </span></span><span style=3D'positi=
on:
 absolute;top:45.5%;left:4.3%;width:36.51%;height:4.0%'><span style=3D'font=
-family:
 Arial;font-size:75%;color:black'>population is 34000.<br>
  </span></span><span style=3D'position:absolute;top:49.5%;left:4.3%;width:=
36.51%;
 height:4.0%'><span style=3D'font-family:Arial;font-size:75%;color:black;
 display:none'>&#13;</span></span></div>
 <div style=3D'mso-line-spacing:"100 50 0"'><span style=3D'position:absolut=
e;
 top:55.5%;left:4.3%;width:36.51%;height:4.0%'><span style=3D'font-family:A=
rial;
 font-size:75%;color:black'>IZNIK is remarkable for the </span></span><span
 style=3D'position:absolute;top:59.5%;left:4.3%;width:38.01%;height:4.0%'><=
span
 style=3D'font-family:Arial;font-size:75%;color:black'>monuments belonging =
to the
 </span></span><span style=3D'position:absolute;top:63.5%;left:4.3%;width:4=
2.88%;
 height:4.0%'><span style=3D'font-family:Arial;font-size:75%;color:black'>R=
oman,
 Byzantine and Ottoman </span></span><span style=3D'position:absolute;top:6=
7.5%;
 left:4.3%;width:36.51%;height:4.0%'><span style=3D'font-family:Arial;font-=
size:
 75%;color:black'>Age. Most of the historical </span></span><span
 style=3D'position:absolute;top:71.5%;left:4.3%;width:38.2%;height:4.0%'><s=
pan
 style=3D'font-family:Arial;font-size:75%;color:black'>buildings are well
 preserved. </span></span><span style=3D'position:absolute;top:75.5%;left:4=
.3%;
 width:38.38%;height:4.0%'><span style=3D'font-family:Arial;font-size:75%;
 color:black'>Thus the region looks like an </span></span><span
 style=3D'position:absolute;top:79.5%;left:4.3%;width:39.51%;height:4.0%'><=
span
 style=3D'font-family:Arial;font-size:75%;color:black'>open-air museum. Tha=
t's
 why </span></span><span style=3D'position:absolute;top:83.5%;left:4.3%;
 width:36.51%;height:4.0%'><span style=3D'font-family:Arial;font-size:75%;
 color:black'>IZNIK is proclaimed as an </span></span><span style=3D'positi=
on:
 absolute;top:87.5%;left:4.3%;width:36.51%;height:4.0%'><span style=3D'font=
-family:
 Arial;font-size:75%;color:black'>historical urban place to be </span></spa=
n><span
 style=3D'position:absolute;top:91.5%;left:4.3%;width:36.51%;height:4.0%'><=
span
 style=3D'font-family:Arial;font-size:75%;color:black'>protected.</span><sp=
an
 style=3D'font-size:75%'><br>
  </span></span><span style=3D'position:absolute;top:95.5%;left:4.3%;width:=
36.51%;
 height:4.0%'><span style=3D'font-size:75%;mso-special-format:lastCR;displa=
y:
 none'>&#13;</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s21509" class=3DO style=3D'mso-line-spacing:"100 50=
 0";
 position:absolute;top:88.75%;left:42.69%;width:63.29%;height:5.25%'>See: <=
u>http://www.turizm.net/cities/iznik/</u></div>
 <div v:shape=3D"_x0000_s21510" class=3DO style=3D'mso-line-spacing:"100 50=
 0";
 position:absolute;top:56.49%;left:60.86%;width:11.79%;height:5.25%'><span
 style=3D'color:#00CC99;mso-color-index:4'>Turkey</span></div>
</p:slide></div>

</body>

</html>

------=_NextPart_01C4CE46.8EAB4C80
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.75%;
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333CC;
 mso-color-index:5'><i>The Problem of Easter by 325</i></span></div>
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8.42%;
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5%;
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ion:
 absolute;left:-4.71%'>&#8226;</span>Christianity decriminalized&#13;</span=
></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:37.25%;left:12.17%;width:91.94%;height:6.75%'><span style=3D'mso-speci=
al-format:
 bullet;position:absolute;left:-4.07%'>&#8226;</span>Faith is rooted in
 historical events and thus </span><span style=3D'position:absolute;top:43.=
5%;
 left:12.17%;width:79.4%;height:6.75%'>needs a universally agreed calendar&=
#13;</span></div>
 <div style=3D'mso-line-spacing:"90 20 0";position:absolute;top:51.5%;left:=
8.42%;
 width:97.37%;height:6.75%'><span style=3D'position:absolute;top:0%;left:3.=
84%;
 width:96.15%;height:100.0%'><span style=3D'mso-special-format:bullet;posit=
ion:
 absolute;left:-4.0%'>&#8226;</span>Last Supper seems to be 1<span
 style=3D'font-size:66%;position:relative;top:-.45em;mso-text-raise:30%'>st=
</span><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>day of Passover&#13;</span></div>
 <div style=3D'mso-line-spacing:"90 20 0"'><span style=3D'position:absolute;
 top:59.25%;left:12.17%;width:84.45%;height:6.75%'><span style=3D'mso-speci=
al-format:
 bullet;position:absolute;left:-4.43%'>&#8226;</span>Easter linked to Judai=
sm
 since the Jews </span><span style=3D'position:absolute;top:65.5%;left:12.1=
7%;
 width:79.4%;height:6.75%'>must determine the time of 15 Nisan&#13;</span><=
/div>
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l-format:
 bullet;position:absolute;left:-3.93%'>&#8226;</span>Solution at Nicaea lin=
ks
 Easter to the Vernal </span><span style=3D'position:absolute;top:79.75%;
 left:12.17%;width:80.71%;height:6.75%'>equinox and legislates it be a Sund=
ay.</span></div>
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.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>The Solution</i></span></div>
 <div v:shape=3D"_x0000_s23555">
 <div class=3DB><span style=3D'position:absolute;top:30.0%;left:12.17%;widt=
h:91.01%;
 height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.11%'>&#8=
226;</span>Make
 Easter the first Sunday after the first </span><span style=3D'position:abs=
olute;
 top:37.0%;left:12.17%;width:85.58%;height:6.75%'>full moon following the
 vernal equinox.&#13;</span></div>
 <div class=3DB1 style=3D'position:absolute;top:45.5%;left:13.48%;width:82.=
77%;
 height:6.0%'><span style=3D'position:absolute;top:0%;left:3.84%;width:96.3=
8%;
 height:100.0%'><span class=3DB1B style=3D'position:absolute;left:-3.99%'>&=
#8211;</span>Seemingly
 separated Easter from Passover&#13;</span></div>
 <div class=3DB1><span style=3D'position:absolute;top:53.0%;left:16.66%;wid=
th:80.52%;
 height:6.0%'><span class=3DB1B style=3D'position:absolute;left:-3.95%'>&#8=
211;</span>Eliminated
 dependence on Jewish elders to </span><span style=3D'position:absolute;
 top:59.0%;left:16.66%;width:75.09%;height:6.0%'>determine the correct
 date&#13;</span></div>
 <div class=3DB><span style=3D'position:absolute;top:66.75%;left:12.17%;wid=
th:82.95%;
 height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.51%'>&#8=
226;</span>New
 Problem:<span style=3D'mso-spacerun:yes'>&nbsp; </span>There was no adequa=
te </span><span
 style=3D'position:absolute;top:74.0%;left:12.17%;width:91.57%;height:6.75%=
'>method
 at hand for determining the date of </span><span style=3D'position:absolut=
e;
 top:81.0%;left:12.17%;width:90.07%;height:6.75%'>the vernal equinox closer
 than a few days.</span></div>
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.75%;
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333CC;
 mso-color-index:5'><i>Solution to the New Problem</i></span></div>
 <div v:shape=3D"_x0000_s24579">
 <div class=3DB><span style=3D'position:absolute;top:30.0%;left:12.17%;widt=
h:94.75%;
 height:6.75%'><span class=3DBB style=3D'position:absolute;left:-3.95%'>&#8=
226;</span>Fix
 the date of the Vernal Equinox at March </span><span style=3D'position:abs=
olute;
 top:37.0%;left:12.17%;width:79.77%;height:6.75%'>21 no matter what happens=
 in
 the sky&#13;</span></div>
 <div class=3DB><span style=3D'position:absolute;top:45.75%;left:12.17%;wid=
th:86.32%;
 height:6.75%'><span class=3DBB style=3D'position:absolute;left:-4.33%'>&#8=
226;</span>Ignore
 the fact that every year the Julian </span><span style=3D'position:absolut=
e;
 top:52.75%;left:12.17%;width:79.4%;height:6.75%'>calendar lags by a furthe=
r 11
 minutes&#13;</span></div>
 <div class=3DB1><span style=3D'position:absolute;top:61.0%;left:16.66%;wid=
th:85.95%;
 height:6.0%'><span class=3DB1B style=3D'position:absolute;left:-3.7%'>&#82=
11;</span>Note
 that in 325 the equinox had slipped back </span><span style=3D'position:ab=
solute;
 top:67.25%;left:16.66%;width:75.09%;height:6.0%'>from March 25 to about Ma=
rch
 21</span></div>
 </div>
</p:slide></div>

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<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D4>What a
  mistake.<span style=3D'mso-spacerun:yes'>&nbsp; </span>If the Council of =
Nicaea
  had simple fixed Easter on a Calendared Sunday (like Christmas) wars might
  have been averted later.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Th=
ere
  also would have been fewer jobs for mathematicians and astronomers in the
  hierarchy of the Church.</font><br>
  </td>
 </tr>
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  href=3D"master03.xml#_x0000_s1029"/><![endif]><p:shaperange
  href=3D"master03.xml#_x0000_m1026"/><v:shape id=3D"_x0000_s41986" type=3D=
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  style=3D'position:absolute;left:54pt;top:48pt;width:612pt;height:90pt'>
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  style=3D'position:absolute;left:54pt;top:156pt;width:612pt;height:324pt'>
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 <div v:shape=3D"_x0000_s41986" class=3DT style=3D'position:absolute;top:13=
.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Other Easter Calculations</i></span></div>
 <div v:shape=3D"_x0000_s41987">
 <div class=3DB><span style=3D'position:absolute;top:30.0%;left:12.17%;widt=
h:94.0%;
 height:5.25%'><span style=3D'font-size:75%'><span class=3DBB style=3D'posi=
tion:absolute;
 left:-3.98%'>&#8226;</span></span><span style=3D'font-size:75%'>Under the =
Julian
 calendar the days of the week for January </span></span><span
 style=3D'position:absolute;top:35.25%;left:12.17%;width:79.4%;height:5.25%=
'><span
 style=3D'font-size:75%'>1 repeat every 28 (4 x 7) years&#13;</span></span>=
</div>
 <div class=3DB><span style=3D'position:absolute;top:41.5%;left:12.17%;widt=
h:91.38%;
 height:5.25%'><span style=3D'font-size:75%'><span class=3DBB style=3D'posi=
tion:absolute;
 left:-4.09%'>&#8226;</span></span><span style=3D'font-size:75%'>Toss in the
 Metonic cycle of 19 years to get a great cycle </span></span><span
 style=3D'position:absolute;top:47.0%;left:12.17%;width:79.4%;height:5.25%'=
><span
 style=3D'font-size:75%'>of 532 (28 x 19) years&#13;</span></span></div>
 <div class=3DB1><span style=3D'position:absolute;top:53.0%;left:16.66%;wid=
th:76.59%;
 height:4.25%'><span style=3D'font-size:71%'><span class=3DB1B style=3D'pos=
ition:
 absolute;left:-4.15%'>&#8211;</span></span><span style=3D'font-size:71%'>P=
roblem:
 </span><span style=3D'font-size:71%'><i>luna</i></span><span style=3D'font=
-size:
 71%'> 16-22 (Rome) vs. </span><span style=3D'font-size:71%'><i>luna</i></s=
pan><span
 style=3D'font-size:71%'> 15-21 (Alexandria) </span></span><span
 style=3D'position:absolute;top:57.49%;left:16.66%;width:75.09%;height:4.25=
%'><span
 style=3D'font-size:71%'>unresolved&#13;</span></span></div>
 <div class=3DB style=3D'position:absolute;top:63.0%;left:8.42%;width:83.14=
%;
 height:5.25%'><span style=3D'position:absolute;top:0%;left:4.5%;width:95.4=
9%;
 height:100.0%'><span style=3D'font-size:75%'><span class=3DBB style=3D'pos=
ition:
 absolute;left:-4.71%'>&#8226;</span></span><span style=3D'font-size:75%'>D=
enis
 the Small in ca. 530&#13;</span></span></div>
 <div class=3DB1 style=3D'position:absolute;top:69.25%;left:13.48%;width:78=
.08%;
 height:4.25%'><span style=3D'position:absolute;top:0%;left:4.07%;width:96.=
16%;
 height:100.0%'><span style=3D'font-size:71%'><span class=3DB1B style=3D'po=
sition:
 absolute;left:-4.23%'>&#8211;</span></span><span style=3D'font-size:71%'>A=
dopts
 the Roman 21 March date for the equinox&#13;</span></span></div>
 <div class=3DB1 style=3D'position:absolute;top:74.5%;left:13.48%;width:78.=
08%;
 height:4.25%'><span style=3D'position:absolute;top:0%;left:4.07%;width:96.=
16%;
 height:100.0%'><span style=3D'font-size:71%'><span class=3DB1B style=3D'po=
sition:
 absolute;left:-4.23%'>&#8211;</span></span><span style=3D'font-size:71%'>A=
dopts
 the luna 15-21 rule&#13;</span></span></div>
 <div class=3DB1 style=3D'position:absolute;top:79.75%;left:13.48%;width:78=
.08%;
 height:4.25%'><span style=3D'position:absolute;top:0%;left:4.07%;width:96.=
16%;
 height:100.0%'><span style=3D'font-size:71%'><span class=3DB1B style=3D'po=
sition:
 absolute;left:-4.23%'>&#8211;</span></span><span style=3D'font-size:71%'>C=
rafts
 a 95 (5 x 19) year table for the date of Easter </span></span></div>
 </div>
</p:slide></div>

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<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The 532
  year cycle was devised by Bishop Victorius of Aquataine (France) in AD 45=
7.</font><br>
  </td>
 </tr>
</table>

</div>

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<table style=3D'color:white' border=3D0 width=3D"100%">
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  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Arial Unicode MS" si=
ze=3D3>This is
  one of a series of photographs of the eclipse of the Sun which was taken =
from
  the Apollo 12 spacecraft during its trans-earth journey home from the Moo=
n.
  This view was created when the Earth moved directly between the Sun and t=
he
  Apollo 12 spacecraft.</font><br>
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e=3D3>So here
  we are looking at the sun.<span style=3D'mso-spacerun:yes'>&nbsp; </span>=
This
  is a view seen only by the astronauts of Apollo 12; however, we can look =
at
  some other solar views that could in principle have been seen by anyone h=
ere.</font><br>
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 src=3D"slide0021_image024.jpg" style=3D'position:absolute;top:6.75%;left:0=
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<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The was
  a total Eclipse of the sun on May 1, 664.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>It occurred at the time of the C=
ouncil
  of Whitby, a conclave aimed at unifying the Church in the British Isles in
  favor of Rome.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The state of
  religion prior to Whitby was a division between Canterbury (Roman) in the
  South, Mercia (Pagan) in the middle and Northumbria where a Celtic form of
  Christianity dating from a much earlier exile by the Romans.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>It was organized by on Columba a=
nd was
  thus known as the Columban church.<span style=3D'mso-spacerun:yes'>&nbsp;
  </span>This version of the church placed Easter on 14 Nisan occasionally
  (I.e., when 14 Nisan fell on an Easter Sunday in the 84-year cycle abando=
ned
  by Denis the Small).<span style=3D'mso-spacerun:yes'>&nbsp; </span>In the
  political rangling of the day, one Oswy was king of Northumbria having be=
en
  banished from the south.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Bu=
t he
  married a &#8220;southern&#8221; Christian (Queen Eanfleda) who celebrated
  Easter on the Roman calendar.<span style=3D'mso-spacerun:yes'>&nbsp;
  </span>This caused marital discord and to resolve it Oswy called the Coun=
cil
  of Whitby.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Earlier,
  Biscop and Wilfrid (rich Northumbrian nobles) spent 653-658 in Rome and
  Paris, etc. gathering documents and other paraphernalia relating to the R=
oman
  Church&#8212;in particular the method of Denis the Small for calculating
  Easter.<span style=3D'mso-spacerun:yes'>&nbsp; </span>At the Council Wilf=
rid
  went for Denis&#8217;s compounded 19-year (Metonic) cycle of 532 years,
  persuading Oswy and in doing so defeated the effort of the Celtic Church =
to
  dominate in England.</font><br>
  </td>
 </tr>
</table>

</div>

<![endif]>
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 <div style=3D'text-align:center;position:absolute;top:20.25%;left:6.92%;
 width:19.85%;height:10.0%'><span style=3D'font-size:200%'>Total &#13;</spa=
n></div>
 <div style=3D'text-align:center;position:absolute;top:31.0%;left:4.86%;
 width:23.78%;height:10.0%'><span style=3D'font-size:200%'>Eclipse&#13;</sp=
an></div>
 <div style=3D'text-align:center;position:absolute;top:41.5%;left:6.92%;
 width:19.85%;height:10.0%'><span style=3D'font-size:200%'>Of &#13;</span><=
/div>
 <div style=3D'text-align:center;position:absolute;top:52.25%;left:6.92%;
 width:19.85%;height:10.0%'><span style=3D'font-size:200%'>1980</span></div>
 </div>
</p:slide></div>

<![if !ppt]>

<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Total
  solar eclipse of 1980</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>This
  solar eclipse was photographed in India on February 16, 1980. Solar eclip=
ses
  occur when the moon, orbiting the earth, crosses the (imaginary) line joi=
ning
  the Sun and Earth, so that the Earth lies directly in the shadow of the M=
oon.
  With the solar disk completely obscured, the solar corona becomes visible=
. It
  is indeed remarkable that the angular sizes of the Moon and the Sun, as s=
een
  from the Earth, are so similar; had the Moon been a few percent smaller or
  orbiting a little farther away from the Earth, eclipses would not provide
  such spectacular views of the corona. The corona extends outward many sol=
ar
  radii above the solar surface, and owes its appearance to sunlight scatte=
red
  by hot (1-2 million degrees Kelvin), tenuous ionized gas streaming away f=
rom
  the Sun. The resulting outflow is known as the solar wind. The solar wind
  flows all the way past the Earth and the outer planets, and terminates in=
 the
  interstellar medium well outside the confines of the solar system. The
  process through which K gas streaming upward from the solar photosphere c=
an
  be heated to temperatures in excess of<span style=3D'mso-spacerun:yes'>&n=
bsp;
  </span>degrees Kelvin in the corona is believed to involve the solar magn=
etic
  field, although its mode of operation is not yet fully understood.</font>=
<br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>The most
  common coronal structures seen on eclipse photographs are the helmet
  streamers, bright elongated structures fairly wide near the solar limb but
  tapering off to a long, narrow spike farther away from the solar surface.
  Many streamers are visible all around the solar limb on this eclipse
  photograph; a particularly well-defined one can be seen over the south so=
lar
  pole (down on the photograph). The base of helmet streamers often contain=
 a
  darker cavity, in which bright prominences can sometimes be seen. Example=
s of
  such cavities with embedded prominences can be found on this photograph
  (upper left).</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
</table>

</div>

<![endif]>
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 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3DVerdana size=3D3>Bede=
 was born in
  AD 673 on the lands of the monastery. Of his family background we know
  nothing, save that he was entrusted at the age of 7 to the care of Benedi=
ct
  Biscop, the founder of the monastery, and then to Ceolfrith who in AD 681=
 was
  appointed Abbot of the new foundation at Jarrow. Bede spent the rest of h=
is
  life in the monastery.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3DVerdana size=3D3>This=
 is the same
  Biscop we mentioned earlier who was Wilfrid&#8217;s pal.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3DVerdana size=3D3>Appa=
rently Wilfrid
  and others who chronicled the Council of Whitby deliberately fudged the d=
ate
  of the eclipse of 664 (Whitby and Jarrow were in the path of totality) to
  make the new moon (coincident with the eclipse) come out at the date set =
by
  Denis the Small, namely May 3, 664.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3DVerdana size=3D3>Toda=
y, we probably
  know Bede best as the author of the Ecclesiastical History of the English
  People which he completed in AD 731. This work is our primary source for
  understanding the beginnings of the English people and the coming of
  Christianity. This is the first work of history in which the AD dating sy=
stem
  is used.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3DVerdana size=3D3>It i=
s likely that
  Bede knew the date was incorrect, but went along with the fudge in preser=
ve
  the hegemony of Canterbury.<span style=3D'mso-spacerun:yes'>&nbsp; </span=
>He
  did note the drift of the observed moon ahead of its tabulated date in 77=
5.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><br>
  </td>
 </tr>
</table>

</div>

<![endif]>
</body>

</html>

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pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Robert
 Grosseteste (1178-1253)&#13;</span></div>
 <div style=3D'position:absolute;top:38.5%;left:8.42%;width:83.14%;height:6=
.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>John Holy=
wood
 (Sacrobosco)&#13;</span></div>
 <span style=3D'position:absolute;top:47.0%;left:12.17%;width:90.44%;height=
:6.75%'><span
 class=3DBB style=3D'position:absolute;left:-4.14%'>&#8226;</span>Roger Bac=
on
 (1214-1294) sent material to </span><span style=3D'position:absolute;top:5=
4.25%;
 left:12.17%;width:79.4%;height:6.75%'>Clement IV&#13;</span><span
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%'><span
 class=3DBB style=3D'position:absolute;left:-4.09%'>&#8226;</span>In 1344 C=
lement
 VI invites astronomers to </span><span style=3D'position:absolute;top:69.7=
5%;
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  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Clement
  VI got a report from his astronomers on reform, but was diverted by the
  plague years of 1347-48 and died in 1352 without instituting the reform.<=
/font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>Then
  there was the turbulent period leading to the Great Schism, resolved at t=
he
  Council of Constance in 1415.<span style=3D'mso-spacerun:yes'>&nbsp; </sp=
an>The
  last of the Popes in Avignon before the end of the Schism was John XXII (=
or
  XXIII) who issued an order for reform in 1412 that was ignored and he was
  fired at Constance.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>At the
  Council of Basel in 1434 a report on the problem caused a commission to be
  appointed.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Its reporter in =
1437
  was Nicholas of Cusa.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The r=
eform
  was to take place in 1439, but never made it.<span
  style=3D'mso-spacerun:yes'>&nbsp; </span>Squabbling at the top lead to an=
other
  period with two Popes and the calendar got lost.</font><br>
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  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Times New Roman" siz=
e=3D3>By the
  1500s the Reformation was charging along and was the cause of the 5<sup>t=
h</sup>
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  </span>Calendar reform came up again, a proposal was circulated to the
  crowned heads of the Christian world (Henry VIII didn&#8217;t respond) wi=
th
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<div id=3DNotesObj style=3D'display:none'>

<table style=3D'color:white' border=3D0 width=3D"100%">
 <tr>
  <td width=3D5 nowrap></td>
  <td width=3D"100%"></td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Trebuchet MS" size=
=3D3>pope from
  1572 to 1585, who promulgated the <b><u>Gregorian calendar</u></b> and
  founded a system of seminaries for Roman Catholic priests.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Trebuchet MS" size=
=3D3>Educated at
  the University of Bologna, he taught jurisprudence there from 1531 to 153=
9.
  Because of his expertise in canon law, he was sent by Pope Pius IV in 156=
1 to
  the Council of Trent (Trento, Italy), where he remained until 1563. Pius =
made
  him cardinal in 1565 and emissary to Spain. He was elected pope on May 14,
  1572, succeeding St. Pius V.</font><br>
  </td>
 </tr>
 <tr>
  <td colspan=3D1></td>
  <td dir=3Dltr align=3Dleft colspan=3D1><font face=3D"Trebuchet MS" size=
=3D3>Gregory
  began promoting church reform and the <b><u>Counter-Reformation</u></b> by
  pledging to execute the reforming decrees of the Council of Trent. He
  appointed committees of cardinals to investigate abuses among ecclesiasti=
cs
  and to draft the <i>Index Librorum Prohibitorum</i> (&#8220;Index of
  Forbidden Books&#8221;). To carry out the council's decree ordering the
  establishment of seminaries, he founded several colleges and seminaries,
  including the Gregorian University, and delegated their direction to the
  Jesuits, whom he patronized. These schools trained missionaries for those
  countries that had established Protestant state religions.</font><br>
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=3D3>Gregory is
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  actions of Queen Elizabeth I of England and for his reaction to the Massa=
cre
  of St. Bartholomew's Day, the slaughter of Huguenots (French Protestants)
  that began in Paris on Aug. 24, 1572, and spread throughout France. He
  celebrated the massacre with a <i>Te Deum</i> (hymn of praise to God) at
  Rome.</font><br>
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=3D3>Aided
  chiefly by the Neapolitan astronomer and physician Luigi Lilio Ghiraldi (=
d.
  1576) and the German Jesuit and mathematician Christopher Clavius, Gregory
  corrected the errors of the Julian calendar created by Julius Caesar in 4=
6 BC
  and issued the Gregorian calendar in 1582.</font><br>
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e,
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ng
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  style=3D'mso-spacerun:yes'>&nbsp; </span>to equip his Galleria della Cart
  Geografiche at the Vatican. Danti installed a gnomen consisting of a hole=
 in
  the roof which cast and image of the sun on a scale aligned along the
  meridian.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Using it Gregory
  convinced himself and others that the equinoxes were out of sych with the
  Julian Calendar.</font><br>
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</table>

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<![endif]>
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.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Lilius &amp; Clavius</i></span></div>
 <div v:shape=3D"_x0000_s51203">
 <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=
n:absolute;
 top:29.5%;left:12.17%;width:85.39%;height:6.0%'><span style=3D'font-size:8=
8%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.38%'>&#8226;<=
/span></span><span
 style=3D'font-size:88%'>Gregory&#8217;s reform was proposed by Lilius and =
</span></span><span
 style=3D'position:absolute;top:35.0%;left:12.17%;width:85.2%;height:6.0%'>=
<span
 style=3D'font-size:88%'>promoted by Clavius after both Lilius and the </sp=
an></span><span
 style=3D'position:absolute;top:40.75%;left:12.17%;width:79.4%;height:6.0%'=
><span
 style=3D'font-size:88%'>Pope were dead.&#13;</span></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=
on:absolute;
 top:47.25%;left:16.66%;width:81.64%;height:5.25%'><span style=3D'font-size=
:86%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.89%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>Removal of P leap days every Q years shortens the =
</span></span><span
 style=3D'position:absolute;top:52.25%;left:16.66%;width:75.09%;height:5.25=
%'><span
 style=3D'font-size:86%'>average year by 365.25 &#8211; P/Q days&#13;</span=
></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=
on:absolute;
 top:57.99%;left:16.66%;width:85.39%;height:5.25%'><span style=3D'font-size=
:86%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.72%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>L &amp; C proposed 97 days suppressed every 400 ye=
ars: </span></span><span
 style=3D'position:absolute;top:62.74%;left:16.66%;width:86.51%;height:5.25=
%'><span
 style=3D'font-size:86%'>years divisible by 100 but not divisible by 400 re=
main </span></span><span
 style=3D'position:absolute;top:67.5%;left:16.66%;width:75.09%;height:5.25%=
'><span
 style=3D'font-size:86%'>common&#13;</span></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=
73.5%;
 left:13.48%;width:78.08%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.07%;width:96.16%;height:100.0%'><span style=3D'font-size:86%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.23%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>This yields an average year of 365.2425 days&#13;<=
/span></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=
on:absolute;
 top:79.25%;left:16.66%;width:84.83%;height:5.25%'><span style=3D'font-size=
:86%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.75%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>Delete 10 days from 1582, moving the equinox to 21=
 </span></span><span
 style=3D'position:absolute;top:84.0%;left:16.66%;width:75.09%;height:5.25%=
'><span
 style=3D'font-size:86%'>March</span></span></div>
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.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>On To England in 1781</i></span></div>
 <div v:shape=3D"_x0000_s52227" class=3DB><span style=3D'position:absolute;
 top:30.0%;left:12.17%;width:87.26%;height:6.75%'><span class=3DBB
 style=3D'position:absolute;left:-4.29%'>&#8226;</span>Legislators (House of
 Lords) determined </span><span style=3D'position:absolute;top:37.0%;left:1=
2.17%;
 width:79.4%;height:6.75%'>not to mention the Catholic Church&#13;</span><s=
pan
 style=3D'position:absolute;top:45.75%;left:12.17%;width:88.01%;height:6.75=
%'><span
 class=3DBB style=3D'position:absolute;left:-4.25%'>&#8226;</span>Embrace t=
he
 Lilius/Clavius rules for leap </span><span style=3D'position:absolute;
 top:52.75%;left:12.17%;width:79.4%;height:6.75%'>day suppression&#13;</spa=
n><span
 style=3D'position:absolute;top:61.25%;left:12.17%;width:79.4%;height:6.75%=
'><span
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Must remo=
ve 11
 days to square with </span><span style=3D'position:absolute;top:68.25%;
 left:12.17%;width:79.4%;height:6.75%'>Gregorian Calendar&#13;</span>
 <div style=3D'position:absolute;top:77.0%;left:8.42%;width:83.14%;height:6=
.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>Easter co=
nfusion:
 See Duncan Steel</span></div>
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  style=3D'position:absolute;left:54pt;top:156pt;width:612pt;height:324pt'>
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 <div v:shape=3D"_x0000_s53250" class=3DT style=3D'position:absolute;top:13=
.75%;
 left:8.42%;width:83.14%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Numbers For Finding Easter</i></span></div>
 <div v:shape=3D"_x0000_s53251">
 <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=
n:absolute;
 top:29.5%;left:12.17%;width:91.57%;height:6.0%'><span style=3D'font-size:8=
8%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.08%'>&#8226;<=
/span></span><span
 style=3D'font-size:88%'>The Golden Number: Position of a year in the 19 </=
span></span><span
 style=3D'position:absolute;top:35.0%;left:12.17%;width:79.4%;height:6.0%'>=
<span
 style=3D'font-size:88%'>year Metonic cycle =3D mod(Y,19) + 1&#13;</span></=
span></div>
 <div class=3DB style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positio=
n:absolute;
 top:42.0%;left:12.17%;width:94.0%;height:6.0%'><span style=3D'font-size:88=
%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.98%'>&#8226;<=
/span></span><span
 style=3D'font-size:88%'>The Epact is the age of the ecclesiastical moon (1=
-</span></span><span
 style=3D'position:absolute;top:47.5%;left:12.17%;width:79.4%;height:6.0%'>=
<span
 style=3D'font-size:88%'>29) on January 1&#13;</span></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=
on:absolute;
 top:54.25%;left:16.66%;width:86.51%;height:5.25%'><span style=3D'font-size=
:86%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-3.67%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>Process begins in 1583 &amp; it gets golden number=
 1 and
 </span></span><span style=3D'position:absolute;top:59.0%;left:16.66%;width=
:75.09%;
 height:5.25%'><span style=3D'font-size:86%'>epact 1 (by design)&#13;</span=
></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=
64.75%;
 left:13.48%;width:78.08%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.07%;width:96.16%;height:100.0%'><span style=3D'font-size:86%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.23%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>1/1,2/12,3/23,4/4,5/15,6/26,7/7,8/18,&#8230;,19/19=
&#13;</span></span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0";position:absolute;top:=
70.75%;
 left:13.48%;width:78.08%;height:5.25%'><span style=3D'position:absolute;
 top:0%;left:4.07%;width:96.16%;height:100.0%'><span style=3D'font-size:86%=
'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.23%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>The above golden #/Epact last to 1699&#13;</span><=
/span></div>
 <div class=3DB1 style=3D'mso-line-spacing:"90 20 0"'><span style=3D'positi=
on:absolute;
 top:76.5%;left:16.66%;width:77.15%;height:5.25%'><span style=3D'font-size:=
86%'><span
 style=3D'mso-special-format:bullet;position:absolute;left:-4.12%'>&#8211;<=
/span></span><span
 style=3D'font-size:86%'>Each successive epact # increases by 11 mod 30<br>
  </span></span><span style=3D'position:absolute;top:81.25%;left:16.66%;
 width:77.71%;height:5.25%'><span style=3D'font-size:86%'>11 being the diff=
erence
 365 &#8211; 354 (solar &#8211; lunar)</span></span></div>
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 v:shapes=3D"_x0000_s54359,_x0000_s54332,_x0000_s54331,_x0000_s54330,_x0000=
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24,_x0000_s54323,_x0000_s54322,_x0000_s54321,_x0000_s54320,_x0000_s54319,_x=
0000_s54318,_x0000_s54317,_x0000_s54316,_x0000_s54315,_x0000_s54314,_x0000_=
s54313,_x0000_s54312,_x0000_s54311,_x0000_s54310,_x0000_s54309,_x0000_s5430=
8,_x0000_s54307,_x0000_s54306,_x0000_s54305,_x0000_s54304,_x0000_s54303,_x0=
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54297,_x0000_s54296,_x0000_s54295,_x0000_s54294,_x0000_s54293,_x0000_s54292=
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00_s54286,_x0000_s54285,_x0000_s54284,_x0000_s54283,_x0000_s54282,_x0000_s5=
4281,_x0000_s54280,_x0000_s54279,_x0000_s54278,_x0000_s54277,_x0000_s54276,=
_x0000_s54333,_x0000_s54334,_x0000_s54335,_x0000_s54336,_x0000_s54337,_x000=
0_s54338,_x0000_s54339,_x0000_s54340,_x0000_s54341,_x0000_s54342,_x0000_s54=
343,_x0000_s54344,_x0000_s54345,_x0000_s54346,_x0000_s54347,_x0000_s54348,_=
x0000_s54349,_x0000_s54350,_x0000_s54351,_x0000_s54352,_x0000_s54353,_x0000=
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 <div v:shape=3D"_x0000_s54274" class=3DT style=3D'position:absolute;top:13=
.75%;
 left:6.92%;width:86.32%;height:7.5%'><span style=3D'font-size:82%;color:#3=
333CC;
 mso-color-index:5'><i>Table of Golden Numbers &amp; Epacts</i></span></div>
 <div v:shape=3D"_x0000_s54332">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:92.13%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:92.13%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>7</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54331">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:88.38%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>6</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54330">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:84.45%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:84.45%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>5</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54329">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:80.52%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:80.52%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>4</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54328">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:76.77%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>3</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54327">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:72.84%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:72.84%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>2</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54326">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:68.91%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:68.91%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>1</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54325">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:65.16%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>*</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54324">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:61.23%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:61.23%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>9</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54323">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:57.49%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>8</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54322">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:53.55%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:53.55%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>7</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54321">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:49.62%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:49.62%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>6</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54320">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:45.88%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>5</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54319">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:41.94%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:41.94%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>4</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54318">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:38.2%;width:2.05%;height:4.0%'><span style=3D'font-size:64%=
'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:38.2%;width:2.05%;height:4.0%'><=
span
 style=3D'font-size:64%'>3</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54317">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:62.5=
%;
 left:34.26%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>2</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54316">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:30.33%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:30.33%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>1</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54315">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:26.59%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:66.5%;left:26.59%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>0</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54314">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:62.5%;left:22.65%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>2</span></span><span
 style=3D'position:absolute;top:66.5%;left:22.65%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>9</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54313">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:92.13%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:92.13%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>8</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54312">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:88.38%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>7</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54311">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:84.45%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:84.45%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>6</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54310">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:80.52%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:80.52%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>5</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54309">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:76.77%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>4</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54308">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:72.84%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:72.84%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>3</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54307">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:68.91%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:68.91%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>2</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54306">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:65.16%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>1</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54305">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:61.23%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:61.23%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>0</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54304">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:57.49%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>9</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54303">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:53.55%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:53.55%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>8</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54302">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:49.62%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:49.62%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>7</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54301">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:45.88%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>6</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54300">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:41.94%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:41.94%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>5</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54299">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
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 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:38.2%;width:2.05%;height:4.0%'><span style=3D'font-size:64=
%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:38.2%;width:2.05%;height:4.0%'>=
<span
 style=3D'font-size:64%'>4</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54298">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:34.26%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>3</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54297">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:30.33%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>2</span></span><span
 style=3D'position:absolute;top:52.25%;left:30.33%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>2</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54296">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:48.25%;left:26.59%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:52.25%;left:26.59%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>1</span></span></div>
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 <div v:shape=3D"_x0000_s54295">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:48.2=
5%;
 left:22.65%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>*</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54294">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:92.13%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:92.13%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>9</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54293">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:88.38%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:88.38%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>8</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54292">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:84.45%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:84.45%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>7</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54291">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:80.52%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:80.52%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>6</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54290">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:76.77%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:76.77%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>5</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54289">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:72.84%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:72.84%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>4</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54288">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:68.91%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:68.91%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>3</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54287">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:65.16%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:65.16%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>2</span></span></div>
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 <div v:shape=3D"_x0000_s54286">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:61.23%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:61.23%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>1</span></span></div>
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 <div v:shape=3D"_x0000_s54285">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0'><span style=3D'position:a=
bsolute;
 top:34.25%;left:57.49%;width:2.05%;height:4.0%'><span style=3D'font-size:6=
4%'>1</span></span><span
 style=3D'position:absolute;top:38.25%;left:57.49%;width:2.05%;height:4.0%'=
><span
 style=3D'font-size:64%'>0</span></span></div>
 </div>
 <div v:shape=3D"_x0000_s54284">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:53.55%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>9</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54283">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:49.62%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>8</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54282">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:45.88%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>7</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54281">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:41.94%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>6</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54280">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:38.2%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>5</span>=
</div>
 </div>
 <div v:shape=3D"_x0000_s54279">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:34.26%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>4</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54278">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:30.33%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>3</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54277">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
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 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:26.59%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>2</span=
></div>
 </div>
 <div v:shape=3D"_x0000_s54276">
 <div class=3DTbl1 style=3D'mso-margin-left-alt:288'></div>
 <div class=3DTbl2 style=3D'mso-margin-left-alt:576'></div>
 <div class=3DTbl3 style=3D'mso-margin-left-alt:864'></div>
 <div class=3DTbl4 style=3D'mso-margin-left-alt:1152'></div>
 <div class=3DTbl style=3D'mso-margin-left-alt:0;position:absolute;top:34.2=
5%;
 left:22.65%;width:2.05%;height:4.0%'><span style=3D'font-size:64%'>1</span=
></div>
 </div>
 <p:shaperange href=3D"slide0030.xml#_x0000_s54360"/><![if !vml]><img borde=
r=3D0
 v:shapes=3D"_x0000_s54360,_x0000_s54362,_x0000_s54363"
 src=3D"slide0030_image038.gif" style=3D'position:absolute;top:33.25%;left:=
2.43%;
 width:19.47%;height:41.75%'><![endif]>
 <div v:shape=3D"_x0000_s54360" class=3DO style=3D'text-align:center'><span
 style=3D'position:absolute;top:34.5%;left:8.05%;width:9.73%;height:3.0%'><=
span
 style=3D'font-size:58%'>Golden </span></span><span style=3D'position:absol=
ute;
 top:37.5%;left:8.05%;width:9.73%;height:3.0%'><span style=3D'font-size:58%=
'>numbers</span></span></div>
 <div v:shape=3D"_x0000_s54362" class=3DO style=3D'text-align:center'><span
 style=3D'position:absolute;top:52.25%;left:4.11%;width:12.92%;height:3.0%'=
><span
 style=3D'font-size:58%'>Epacts for<br>
  </span></span><span style=3D'position:absolute;top:55.5%;left:4.11%;width=
:12.92%;
 height:3.0%'><span style=3D'font-size:58%'>1700-1899</span></span></div>
 <div v:shape=3D"_x0000_s54363" class=3DO style=3D'text-align:center'><span
 style=3D'position:absolute;top:66.75%;left:4.11%;width:12.92%;height:3.0%'=
><span
 style=3D'font-size:58%'>Epacts for<br>
  </span></span><span style=3D'position:absolute;top:69.75%;left:4.11%;
 width:12.92%;height:3.0%'><span style=3D'font-size:58%'>1900-2199</span></=
span></div>
</p:slide>
</div>

</body>

</html>

------=_NextPart_01C4CE46.8EAB4C80
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pan
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4.71%'>&#8226;</span></span><span
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.0%'><span
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pan
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4.71%'>&#8226;</span></span><span
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.0%'><span
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pan
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4.71%'>&#8226;</span></span><span
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pan
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4.71%'>&#8226;</span></span><span
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:6.0%'><span
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4.71%'>&#8226;</span></span><span
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pan
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4.71%'>&#8226;</span></span><span
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0%'><span
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pan
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..</span></span></div>
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 <div style=3D'position:absolute;top:30.0%;left:8.42%;width:83.14%;height:6=
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 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
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is (24,
 2, 1937)&#13;</span></div>
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.75%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>A =3D 1&#=
13;</span></div>
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pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>B =3D 193=
7 &#8211;
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 12
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.75%'><span
 style=3D'position:absolute;top:0%;left:4.07%;width:95.92%;height:100.0%'><=
span
 class=3DBB style=3D'position:absolute;left:-4.24%'>&#8226;</span>Z =3D 24 =
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pan
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pan
 class=3DBB style=3D'position:absolute;left:-4.71%'>&#8226;</span>So I was =
born on
 Wednesday</span></div>
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 mso-color-index:5'><i>The Date of Easter</i></span></div>
 <div v:shape=3D"_x0000_s58371" class=3DB>
 <div style=3D'position:absolute;top:30.0%;left:8.42%;width:83.14%;height:6=
.0%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=
4.71%'>&#8226;</span></span><span
 style=3D'font-size:88%'>Dominical letters: A, B, C, D, E, F, G&#13;</span>=
</span></div>
 <span style=3D'position:absolute;top:37.5%;left:12.17%;width:95.13%;height=
:6.0%'><span
 style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=
3.93%'>&#8226;</span></span><span
 style=3D'font-size:88%'>Found by same rule as your birthday, but use (1, 1=
, </span></span><span
 style=3D'position:absolute;top:43.75%;left:12.17%;width:79.4%;height:6.0%'=
><span
 style=3D'font-size:88%'>year) to find x&#13;</span></span>
 <div style=3D'position:absolute;top:51.24%;left:8.42%;width:83.14%;height:=
6.0%'><span
 style=3D'position:absolute;top:0%;left:4.5%;width:95.49%;height:100.0%'><s=
pan
 style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=
4.71%'>&#8226;</span></span><span
 style=3D'font-size:88%'>For x=3D0 it&#8217;s A, x=3D1 it&#8217;s G, x=3D2 =
it&#8217;s
 F, &#8230;.&#13;</span></span></div>
 <span style=3D'position:absolute;top:58.5%;left:12.17%;width:88.57%;height=
:6.0%'><span
 style=3D'font-size:88%'><span class=3DBB style=3D'position:absolute;left:-=
4.22%'>&#8226;</span></span><span
 style=3D'font-size:88%'>For (1,1,2001), x =3D 1 so 2001 starts on Monday <=
/span></span><span
 style=3D'position:absolute;top:64.75%;left:12.17%;width:92.69%;height:6.0%=
'><span
 style=3D'font-size:88%'>and it&#8217;s Dominical letter is G, golden numbe=
r is 7
 </span></span><span style=3D'position:absolute;top:71.0%;left:12.17%;width=
:94.38%;
 height:6.0%'><span style=3D'font-size:88%'>and it&#8217;s epact is 5 so Ea=
ster
 was on April 15</span><span style=3D'font-size:58%;position:relative;top:-=
.45em;
 mso-text-raise:30%'>th</span><span style=3D'font-size:88%'><span
 style=3D'mso-spacerun:yes'>&nbsp; </span>(see </span></span><span
 style=3D'position:absolute;top:77.25%;left:12.17%;width:79.4%;height:6.0%'=
><span
 style=3D'font-size:88%'>table handed out in class) </span></span></div>
</p:slide></div>

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id=3D"2"
 layout=3D"notes" slots=3D"slideImage,body">
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  <o:idmap v:ext=3D"edit" data=3D"5"/>
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style=3D'position:absolute;
  left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s5123" class=3DN>When Cleopatra had herself rolled =
in the
 rug and delivered to Caesar, she was 22 and he was 52, balding and sufferi=
ng
 from epilepsy!&#13;
 <div><span style=3D'mso-bidi-font-family:"Times New Roman";color:black'>&#=
13;</span></div>
 <div><span style=3D'mso-bidi-font-family:"Times New Roman";color:black'><b=
>48-47</b></span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'> Caesar becom=
es
 involved in Egyptian dynastic struggles &#13;</span></div>
 <span style=3D'mso-bidi-font-family:"Times New Roman";color:black'><b>48</=
b></span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'> Caesar consu=
l for
 second time.Caesar crosses to Greece, defeats Pompey at </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>Pharsalus. Po=
mpey
 flees to Egypt where he is stabbed to death on landing. </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>Caesar in Egy=
pt.
 Alexandrine War. Caesar makes Cleopatra queen of Egypt. &#13;</span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'><b>47</b></sp=
an><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'> Caesar dicta=
tor
 for second time in his absence. Caesar defeats King </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>Pharnaces II =
of
 Pontus. Caesar returns to Rome, then leaves for Africa. &#13;</span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'><b>46</b></sp=
an><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'> Caesar crush=
es
 surviving Pompeian forces under Scipio and Cato at </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>Thapsus. Caes=
ar
 dictator second time, consul third time. Cato commits suicide. </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>Caesar return=
s to
 Rome, reforms calendar. Caesar leaves for Spain. &#13;</span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'><b>45</b></sp=
an><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'> Caesar dicta=
tor
 third time, consul fourth time. In battle at Munda in Spain </span><span
 style=3D'mso-bidi-font-family:"Times New Roman";color:black'>the last Roman
 Republican resistance is crushed &#13;</span><span style=3D'mso-bidi-font-=
family:
 "Times New Roman";color:black'><b>44</b></span><span style=3D'mso-bidi-fon=
t-family:
 "Times New Roman";color:black'> Caesar dictator fourth time (for life), co=
nsul
 fifth time. March 15, Caesar </span><span style=3D'mso-bidi-font-family:"T=
imes New Roman";
 color:black'>murdered by Brutus, Cassius, and their co-conspirators acting=
 for
 the </span><span style=3D'mso-bidi-font-family:"Times New Roman";color:bla=
ck'>Republicans.
 Octavian returns from Greece. &#13;</span>
 <div><span style=3D'mso-special-format:lastCR'>&#13;</span></div>
 </div>
</p:notes><p:notes id=3D"3" layout=3D"notes" slots=3D"slideImage,body">
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  top:53.875pt;width:358.875pt;height:269.125pt'>
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style=3D'position:absolute;
  left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s7171" class=3DN>The Olympiad of 776 is the first o=
ne for
 which there is a list of winners.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>So that date is itself in some doubt.&#13;Mercedonius comes from the
 Latin <i>merces</i> meaning wages and was likely when workers were paid.<s=
pan
 style=3D'mso-spacerun:yes'>&nbsp; </span>Mercenary comes from the same
 root.&#13;At this time&#8212;around 600 to 700 BC the years were tallied
 according to the year of the current king.</div>
</p:notes><p:notes id=3D"4" layout=3D"notes" slots=3D"slideImage,body">
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  <v:textbox inset=3D"7.25pt,1.2788mm,7.25pt,1.2788mm"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s9219" class=3DN>Many ancient calendars were based =
on the
 lunar cycle. The lunar month is 29.530589 days and the number of lunations=
 in
 a year is 12.368267. The most common scheme was to have 12 months of 30 da=
ys
 with either arbitrary or calculated additional days or months to bring the
 system into accord with the solar year. &#13;Originally the Roman calendar=
 had
 10 months Martius (named after Mars and indicating the time for resumption=
 of
 war), Aprilis (after the word for `to open', hence Spring), Maius (after M=
aia,
 the goddess of growth), Junius (after juvenis, meaning youth), Quintilius,
 Sextilis, Septembris, Octobris, Novembris and Decembris (meaning the fifth=
 to
 tenth months). The Romans had a dislike of even numbers as these symbolized
 death and so the months had either 29 or 31 days. King Numa (or whoever si=
nce
 it was done by 153<span style=3D'mso-spacerun:yes'>&nbsp; </span>BC) incre=
ased
 the number of months to 12 by introducing Januarius (after the god Janus, =
the protector
 of doorways and hence the opening of the year) and Februarius (after Febru=
alia,
 the time for sacrifices at the end of the year). The order of the months w=
as
 later changed.&#13;
 <div>&#13;</div>
 In order to reconcile the solar and lunar years, at the recommendation of =
Sosigenes
 Julius Caesar altered the lengths of the months and the change to our pres=
ent
 format was completed by Caesar Augustus. They both claimed the names of on=
e of
 the months and this gave rise to Julius and Augustus which replaced Quinti=
lius
 and Sextilis. </div>
</p:notes><p:notes id=3D"5" layout=3D"notes" slots=3D"slideImage,body">
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ft:90.5pt;
  top:53.875pt;width:358.875pt;height:269.125pt'>
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  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s11267" class=3DN>One of the things the Pontifices =
did was
 extend the year so as to extend the terms of magistrates they liked.!&#13;=
In
 50 BC Cicero was complaining on February 13 that no one knew whether an
 intercalary month would be declared in 10 days or not!&#13;
 <div>&#13;</div>
 Martius, Maia, Quintilis, and October had 31 days; Januarius, Aprilis, Jun=
ius,
 and December had 29; Februarius had 28.<span style=3D'mso-spacerun:yes'>&n=
bsp;
 </span>30-day months were eschewed because the Romans were partial to odd
 numbers.<span style=3D'mso-spacerun:yes'>&nbsp; </span>One MUST be even.&#=
13;
 <div>&#13;</div>
 Livy recorded an eclipse on July 11 of 190 BC, but astronomers can calcula=
te that
 the eclipse really occurred on March 14</div>
</p:notes><p:notes id=3D"6" layout=3D"notes" slots=3D"slideImage,body">
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  top:53.875pt;width:358.875pt;height:269.125pt'>
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  <p:placeholder type=3D"slideImage"/></v:rect><v:rect id=3D"_x0000_s13315"
  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s13315" class=3DN>Most contend that Caesar was inte=
nd on
 pulling the vernal equinox back to March 25 and argue that that is the
 traditional beginning of the Roman year.<span style=3D'mso-spacerun:yes'>&=
nbsp;
 </span>In fact the 90 days placed the equinox around March 22, 23 accordin=
g to
 Steel&#8217;s reconstruction.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>Others say that it pulled the date back to March 25.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Check the argument given by Duncan
 Steel.</div>
</p:notes><p:notes id=3D"7" layout=3D"notes" slots=3D"slideImage,body">
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"15"/>
 </o:shapelayout><v:rect id=3D"_x0000_s15362" style=3D'position:absolute;le=
ft:90.5pt;
  top:53.875pt;width:358.875pt;height:269.125pt'>
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  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s15363" class=3DN>The notion of a planetary week se=
ems to
 come around the time of Alexander the Great.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>He conquered Asian Minor between =
336 BC
 and 323 BC.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The assignment of
 planets to days spread from there to Egypt and persisted throughout Europe
 well into mediaeval times and beyond.<span style=3D'mso-spacerun:yes'>&nbs=
p;
 </span>One can find references in Roger Bacon for example.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Note that this ordering has nothi=
ng at all
 to do with the actual heliocentric order of the planets,moon and sun: Sun,=
 Mercury,
 Venus, the Moon (Earth),<span style=3D'mso-spacerun:yes'>&nbsp; </span>Mar=
s,
 Jupiter and Saturn.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Nor does=
 it have
 anything to do with brightness or some periodicity.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>It was probably determined by the
 relative speed with which each body moved against the field of fixed
 stars.&#13;The planet assigned to the first hour is the REGENT of that and=
 the
 others are CONTROLLERS of the subsequent hours.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>In a similar way, the month and y=
ear
 were assigned Regents.</div>
</p:notes><p:notes id=3D"9" layout=3D"notes" slots=3D"slideImage,body">
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ft:91.25pt;
  top:54.375pt;width:357.5pt;height:268.125pt' filled=3D"f" strokecolor=3D"=
black [1]"
  strokeweight=3D"1pt">
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  <v:textbox inset=3D"7.25pt,1.2788mm,7.25pt,1.2788mm"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s18435" class=3DN><span style=3D'font-size:83%'><b>=
The Week</b></span><span
 style=3D'font-size:83%'> Mosaic law forbidding work on every seventh day
 established a seven-day period </span><span style=3D'font-size:83%'>as a m=
easure
 of Jewish time. This passed over into the Christian church and gradually
 became </span><span style=3D'font-size:83%'>established in the Roman calen=
dar.
 The astrological practice of naming the days using the </span><span
 style=3D'font-size:83%'>names of the Sun, Moon and the five known planets =
also
 yielded a seven day period. &#13;</span><span style=3D'font-size:83%'>The =
names
 that we give to the days of the week are still based on this nomenclature.=
 In
 English </span><span style=3D'font-size:83%'>Sunday and Monday are named a=
fter
 the Sun and Moon while the other days of the week are </span><span
 style=3D'font-size:83%'>named after the teutonic versions of the gods that
 correspond to each planet. Tiu =3D Mars, </span><span style=3D'font-size:8=
3%'>Woden
 =3D Mercury, Thor =3D Jupiter and Freya =3D Venus, Saturday keeping its la=
tin
 connection </span><span style=3D'font-size:83%'>with Saturn. &#13;</span><=
span
 style=3D'font-size:83%'>Britannica says Freya is really Frigg the wife of =
Odin
 (Woden).<span style=3D'mso-spacerun:yes'>&nbsp; </span>In contrast to Dunc=
an
 Steel, </span><span style=3D'font-size:83%'>the<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Merriam/Webster says:&#13;</span>=
<span
 style=3D'font-family:"Trebuchet MS";font-size:83%;color:#333333'>Etymology:
 Middle English </span><span style=3D'font-family:"Trebuchet MS";font-size:=
83%;
 color:#333333'><i>saterday, </i></span><span style=3D'font-family:"Trebuch=
et MS";
 font-size:83%;color:#333333'>from Old English </span><span style=3D'font-f=
amily:
 "Trebuchet MS";font-size:83%;color:#333333'><i>s&aelig;ternd&aelig;g </i><=
/span><span
 style=3D'font-family:"Trebuchet MS";font-size:83%;color:#333333'>(akin to =
Old
 Frisian </span><span style=3D'font-family:"Trebuchet MS";font-size:83%;
 color:#333333'><i>sAterdei</i></span><span style=3D'font-family:"Trebuchet=
 MS";
 font-size:83%;color:#333333'>), from Latin </span><span style=3D'font-fami=
ly:
 "Trebuchet MS";font-size:83%;color:#333333'><i>Saturnus </i></span><span
 style=3D'font-family:"Trebuchet MS";font-size:83%;color:#333333'>Saturn + =
Old
 English </span><span style=3D'font-family:"Trebuchet MS";font-size:83%;
 color:#333333'><i>d&aelig;g </i></span><span style=3D'font-family:"Trebuch=
et MS";
 font-size:83%;color:#333333'>day<br>
  </span><span style=3D'font-family:"Trebuchet MS";font-size:83%;color:#333=
333'>&#13;</span>
 <div><span style=3D'font-size:83%;mso-special-format:lastCR'>&#13;</span><=
/div>
 </div>
</p:notes><p:notes id=3D"10" layout=3D"notes" slots=3D"slideImage,body">
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  <o:idmap v:ext=3D"edit" data=3D"20"/>
 </o:shapelayout><v:rect id=3D"_x0000_s20482" style=3D'position:absolute;le=
ft:90.5pt;
  top:53.875pt;width:358.875pt;height:269.125pt'>
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  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s20483" class=3DN>The &#8220;Cross of Gold&#8221; w=
as
 probably a &#8220;Sun Dog&#8221; caused by the reflections or scattering of
 sunlight of ice crystals.<span style=3D'mso-spacerun:yes'>&nbsp; </span>It
 occurred in the late fall at a place called Mulvian Bridge where a great
 battle took place.<span style=3D'mso-spacerun:yes'>&nbsp; </span>He won.&#=
13;The
 Council of Nicaea was summoned mainly to deal with the Arian Heresy which =
had
 to do with the relationship of father/son/holy ghost: did the father proce=
ed
 the son or did both coexist.<span style=3D'mso-spacerun:yes'>&nbsp; </span=
>The
 followers of Arius lost and we have what Christians know as the Nicaean Cr=
eed.
 </div>
</p:notes><p:notes id=3D"14" layout=3D"notes" slots=3D"slideImage,body">
 <o:shapelayout v:ext=3D"edit">
  <o:idmap v:ext=3D"edit" data=3D"25"/>
 </o:shapelayout><v:rect id=3D"_x0000_s25602" style=3D'position:absolute;le=
ft:90.5pt;
  top:53.875pt;width:358.875pt;height:269.125pt'>
  <v:fill o:detectmouseclick=3D"t"/>
  <v:stroke o:forcedash=3D"t"/>
  <o:lock v:ext=3D"edit" text=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:rect><v:rect id=3D"_x0000_s25603"
  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s25603" class=3DN><span style=3D'font-size:117%'>Wh=
at a
 mistake.<span style=3D'mso-spacerun:yes'>&nbsp; </span>If the Council of N=
icaea
 had simple fixed Easter </span><span style=3D'font-size:117%'>on a Calenda=
red
 Sunday (like Christmas) wars might have been </span><span style=3D'font-si=
ze:
 117%'>averted later.<span style=3D'mso-spacerun:yes'>&nbsp; </span>There a=
lso
 would have been fewer jobs for </span><span style=3D'font-size:117%'>mathe=
maticians
 and astronomers in the hierarchy of the Church.</span></div>
</p:notes><p:notes id=3D"23" layout=3D"notes" slots=3D"slideImage,body">
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  <o:idmap v:ext=3D"edit" data=3D"43"/>
 </o:shapelayout><v:shape id=3D"_x0000_s44034" type=3D"#_x0000_m4100" style=
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  left:90.5pt;top:53.875pt;width:358.875pt;height:269.125pt'>
  <v:fill o:detectmouseclick=3D"t"/>
  <v:stroke o:forcedash=3D"t"/>
  <o:lock v:ext=3D"edit" text=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s4403=
5"
  type=3D"#_x0000_m4101" style=3D'position:absolute;left:1in;top:341pt;widt=
h:396pt;
  height:323pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:shape>
 <div v:shape=3D"_x0000_s44035" class=3DN>The 532 year cycle was devised by=
 Bishop
 Victorius of Aquataine (France) in AD 457.</div>
</p:notes><p:notes id=3D"20" layout=3D"notes" slots=3D"slideImage,body">
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ft:90.5pt;
  top:53.875pt;width:358.875pt;height:269.125pt'>
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  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt'>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s35843" class=3DN><span style=3D'font-family:"Arial=
 Unicode MS"'>This
 is one of a series of photographs of the eclipse of the Sun which </span><=
span
 style=3D'font-family:"Arial Unicode MS"'>was taken from the Apollo 12 spac=
ecraft
 during its trans-earth journey </span><span style=3D'font-family:"Arial Un=
icode MS"'>home
 from the Moon. This view was created when the Earth moved </span><span
 style=3D'font-family:"Arial Unicode MS"'>directly between the Sun and the =
Apollo
 12 spacecraft.</span> &#13;
 <div>&#13;</div>
 So here we are looking at the sun.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>This is a view seen only by the astronauts of Apollo 12; however, we
 can look at some other solar views that could in principle have been seen =
by
 anyone here.</div>
</p:notes><p:notes id=3D"21" layout=3D"notes" slots=3D"slideImage,body">
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ft:91.125pt;
  top:54.375pt;width:357.5pt;height:268.125pt' filled=3D"f" strokecolor=3D"=
black [1]"
  strokeweight=3D"1pt">
  <v:fill o:detectmouseclick=3D"t"/>
  <v:stroke o:forcedash=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:rect><v:rect id=3D"_x0000_s37891"
  style=3D'position:absolute;left:1in;top:341pt;width:396pt;height:323pt;
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  <v:textbox inset=3D"7.25pt,1.2788mm,7.25pt,1.2788mm"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s37891" class=3DN>The was a total Eclipse of the su=
n on May
 1, 664.<span style=3D'mso-spacerun:yes'>&nbsp; </span>It occurred at the t=
ime of
 the Council of Whitby, a conclave aimed at unifying the Church in the Brit=
ish Isles
 in favor of Rome.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The state =
of
 religion prior to Whitby was a division between Canterbury (Roman) in the
 South, Mercia (Pagan) in the middle and Northumbria where a Celtic form of
 Christianity dating from a much earlier exile by the Romans.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>It was organized by on Columba an=
d was
 thus known as the Columban church.<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>This version of the church placed Easter on 14 Nisan occasionally
 (I.e., when 14 Nisan fell on an Easter Sunday in the 84-year cycle abandon=
ed
 by Denis the Small).<span style=3D'mso-spacerun:yes'>&nbsp; </span>In the
 political rangling of the day, one Oswy was king of Northumbria having been
 banished from the south.<span style=3D'mso-spacerun:yes'>&nbsp; </span>But=
 he married
 a &#8220;southern&#8221; Christian (Queen Eanfleda) who celebrated Easter =
on
 the Roman calendar.<span style=3D'mso-spacerun:yes'>&nbsp; </span>This cau=
sed
 marital discord and to resolve it Oswy called the Council of Whitby.&#13;E=
arlier,
 Biscop and Wilfrid (rich Northumbrian nobles) spent 653-658 in Rome and Pa=
ris,
 etc. gathering documents and other paraphernalia relating to the Roman
 Church&#8212;in particular the method of Denis the Small for calculating
 Easter.<span style=3D'mso-spacerun:yes'>&nbsp; </span>At the Council Wilfr=
id
 went for Denis&#8217;s compounded 19-year (Metonic) cycle of 532 years,
 persuading Oswy and in doing so defeated the effort of the Celtic Church to
 dominate in England.</div>
</p:notes><p:notes id=3D"22" layout=3D"notes" slots=3D"slideImage,body">
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ft:91.25pt;
  top:54.375pt;width:357.5pt;height:268.125pt' filled=3D"f" strokecolor=3D"=
black [1]"
  strokeweight=3D"1pt">
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  <v:stroke o:forcedash=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:rect><v:rect id=3D"_x0000_s39939"
  style=3D'position:absolute;left:24pt;top:341pt;width:474pt;height:341pt;
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  <v:textbox inset=3D"7.25pt,1.2788mm,7.25pt,1.2788mm"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:rect>
 <div v:shape=3D"_x0000_s39939" class=3DN>
 <div>Total solar eclipse of 1980&#13;</div>
 This solar eclipse was photographed in India on February 16, 1980. Solar
 eclipses occur when the moon, orbiting the earth, crosses the (imaginary) =
line
 joining the Sun and Earth, so that the Earth lies directly in the shadow of
 the Moon. With the solar disk completely obscured, the solar corona becomes
 visible. It is indeed remarkable that the angular sizes of the Moon and the
 Sun, as seen from the Earth, are so similar; had the Moon been a few perce=
nt
 smaller or orbiting a little farther away from the Earth, eclipses would n=
ot
 provide such spectacular views of the corona. The corona extends outward m=
any
 solar radii above the solar surface, and owes its appearance to sunlight
 scattered by hot (1-2 million degrees Kelvin), tenuous ionized gas streami=
ng
 away from the Sun. The resulting outflow is known as the solar wind. The s=
olar
 wind flows all the way past the Earth and the outer planets, and terminate=
s in
 the interstellar medium well outside the confines of the solar system. The
 process through which K gas streaming upward from the solar photosphere ca=
n be
 heated to temperatures in excess of<span style=3D'mso-spacerun:yes'>&nbsp;
 </span>degrees Kelvin in the corona is believed to involve the solar magne=
tic
 field, although its mode of operation is not yet fully understood.&#13;The
 most common coronal structures seen on eclipse photographs are the helmet
 streamers, bright elongated structures fairly wide near the solar limb but
 tapering off to a long, narrow spike farther away from the solar surface. =
Many
 streamers are visible all around the solar limb on this eclipse photograph=
; a
 particularly well-defined one can be seen over the south solar pole (down =
on
 the photograph). The base of helmet streamers often contain a darker cavit=
y,
 in which bright prominences can sometimes be seen. Examples of such caviti=
es
 with embedded prominences can be found on this photograph (upper left).<sp=
an
 style=3D'mso-spacerun:yes'>&nbsp; </span>&#13;
 <div><span style=3D'mso-special-format:lastCR'>&#13;</span></div>
 </div>
</p:notes><p:notes id=3D"19" layout=3D"notes" slots=3D"slideImage,body">
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  <o:idmap v:ext=3D"edit" data=3D"40"/>
 </o:shapelayout><v:shape id=3D"_x0000_s40962" type=3D"#_x0000_m4100" style=
=3D'position:absolute;
  left:90.5pt;top:53.875pt;width:358.875pt;height:269.125pt'>
  <v:fill o:detectmouseclick=3D"t"/>
  <v:stroke o:forcedash=3D"t"/>
  <o:lock v:ext=3D"edit" text=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s4096=
3"
  type=3D"#_x0000_m4101" style=3D'position:absolute;left:1in;top:341pt;widt=
h:396pt;
  height:323pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:shape>
 <div v:shape=3D"_x0000_s40963" class=3DN>
 <div>&#13;</div>
 <div style=3D'mso-vertical-align-special:top'><span style=3D'font-family:V=
erdana'>Bede
 was born in AD 673 on the lands of the monastery. Of </span><span
 style=3D'font-family:Verdana'>his family background we know nothing, save =
that
 he was </span><span style=3D'font-family:Verdana'>entrusted at the age of =
7 to
 the care of Benedict Biscop, the </span><span style=3D'font-family:Verdana=
'>founder
 of the monastery, and then to Ceolfrith who in AD 681 </span><span
 style=3D'font-family:Verdana'>was appointed Abbot of the new foundation at
 Jarrow. Bede </span><span style=3D'font-family:Verdana'>spent the rest of =
his
 life in the monastery.&#13;</span></div>
 <div style=3D'mso-vertical-align-special:top'><span style=3D'font-family:V=
erdana'>This
 is the same Biscop we mentioned earlier who was </span><span style=3D'font=
-family:
 Verdana'>Wilfrid&#8217;s pal.&#13;</span></div>
 <div style=3D'mso-vertical-align-special:top'><span style=3D'font-family:V=
erdana'>Apparently
 Wilfrid and others who chronicled the Council of </span><span
 style=3D'font-family:Verdana'>Whitby deliberately fudged the date of the e=
clipse
 of 664 </span><span style=3D'font-family:Verdana'>(Whitby and Jarrow were =
in the
 path of totality) to make the </span><span style=3D'font-family:Verdana'>n=
ew
 moon (coincident with the eclipse) come out at the date </span><span
 style=3D'font-family:Verdana'>set by Denis the Small, namely May 3, 664.&#=
13;</span></div>
 <div style=3D'mso-vertical-align-special:top'><span style=3D'font-family:V=
erdana'>Today,
 we probably know Bede best as the author of the </span><span style=3D'font=
-family:
 Verdana'>Ecclesiastical History of the English People which he completed <=
/span><span
 style=3D'font-family:Verdana'>in AD 731. This work is our primary source f=
or
 understanding </span><span style=3D'font-family:Verdana'>the beginnings of=
 the
 English people and the coming of </span><span style=3D'font-family:Verdana=
'>Christianity.
 This is the first work of history in which the AD </span><span
 style=3D'font-family:Verdana'>dating system is used.&#13;</span></div>
 <div style=3D'mso-vertical-align-special:top'><span style=3D'font-family:V=
erdana'>It
 is likely that Bede knew the date was incorrect, but went </span><span
 style=3D'font-family:Verdana'>along with the fudge in preserve the hegemon=
y of
 Canterbury.<span style=3D'mso-spacerun:yes'>&nbsp; </span></span><span
 style=3D'font-family:Verdana'>He did note the drift of the observed moon a=
head
 of its </span><span style=3D'font-family:Verdana'>tabulated date in 775.&#=
13;</span></div>
 <div><span style=3D'mso-special-format:lastCR'>&#13;</span></div>
 </div>
</p:notes><p:notes id=3D"24" layout=3D"notes" slots=3D"slideImage,body">
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  <o:idmap v:ext=3D"edit" data=3D"46"/>
 </o:shapelayout><v:shape id=3D"_x0000_s47106" type=3D"#_x0000_m4100" style=
=3D'position:absolute;
  left:90.5pt;top:53.875pt;width:358.875pt;height:269.125pt'>
  <v:fill o:detectmouseclick=3D"t"/>
  <v:stroke o:forcedash=3D"t"/>
  <o:lock v:ext=3D"edit" text=3D"t"/>
  <p:placeholder type=3D"slideImage"/></v:shape><v:shape id=3D"_x0000_s4710=
7"
  type=3D"#_x0000_m4101" style=3D'position:absolute;left:1in;top:341pt;widt=
h:396pt;
  height:323pt'>
  <v:fill o:detectmouseclick=3D"f"/>
  <v:stroke o:forcedash=3D"f"/>
  <o:lock v:ext=3D"edit" text=3D"f"/>
  <p:placeholder type=3D"body" position=3D"1"/></v:shape>
 <div v:shape=3D"_x0000_s47107" class=3DN>Clement VI got a report from his
 astronomers on reform, but was diverted by the plague years of 1347-48 and
 died in 1352 without instituting the reform.&#13;Then there was the turbul=
ent
 period leading to the Great Schism, resolved at the Council of Constance in
 1415.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The last of the Popes =
in
 Avignon before the end of the Schism was John XXII (or XXIII) who issued an
 order for reform in 1412 that was ignored and he was fired at Constance.&#=
13;At
 the Council of Basel in 1434 a report on the problem caused a commission t=
o be
 appointed.<span style=3D'mso-spacerun:yes'>&nbsp; </span>Its reporter in 1=
437
 was Nicholas of Cusa.<span style=3D'mso-spacerun:yes'>&nbsp; </span>The re=
form
 was to take place in 1439, but never made it.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Squabbling at the top lead to ano=
ther period
 with two Popes and the calendar got lost.&#13;By the 1500s the Reformation=
 was
 charging along and was the cause of the 5<span style=3D'font-size:67%;
 position:relative;top:-.45em;mso-text-raise:30%'>th</span><span
 style=3D'mso-spacerun:yes'>&nbsp;</span>Lateran Council held in 1512.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>Calendar reform came up again, a
 proposal was circulated to the crowned heads of the Christian world (Henry
 VIII didn&#8217;t respond) with no clear result.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span>So it died again in 1517.</div>
</p:notes><p:notes id=3D"26" layout=3D"notes" slots=3D"slideImage,body">
 <o:shapelayout v:ext=3D"edit">
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 <div v:shape=3D"_x0000_s50179" class=3DN><span style=3D'font-family:"Trebu=
chet MS";
 color:#333333'>pope from 1572 to 1585, who promulgated the </span><span
 style=3D'font-family:"Trebuchet MS";color:#666666'><b><u><p:onmouseclick
  hyperlinktype=3D"url" href=3D"http://www.britannica.com/eb/article?eu=3D3=
8777"/><a
 href=3D"http://www.britannica.com/eb/article?eu=3D38777" target=3D"_parent"
 onclick=3D"window.event.cancelBubble=3Dtrue;">Gregorian calendar</a></u></=
b></span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'> </span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>and founded a system of
 seminaries for Roman Catholic priests.</span> &#13;<span style=3D'font-fam=
ily:
 "Trebuchet MS";color:#333333'>Educated at the University of Bologna, he ta=
ught
 jurisprudence there </span><span style=3D'font-family:"Trebuchet MS";color=
:#333333'>from
 1531 to 1539. Because of his expertise in canon law, he was sent </span><s=
pan
 style=3D'font-family:"Trebuchet MS";color:#333333'>by Pope Pius IV in 1561=
 to
 the Council of Trent (Trento, Italy), where </span><span style=3D'font-fam=
ily:
 "Trebuchet MS";color:#333333'>he remained until 1563. Pius made him cardin=
al
 in 1565 and emissary </span><span style=3D'font-family:"Trebuchet MS";
 color:#333333'>to Spain. He was elected pope on May 14, 1572, succeeding S=
t.
 Pius V.</span> &#13;<span style=3D'font-family:"Trebuchet MS";color:#33333=
3'>Gregory
 began promoting church reform and the </span><span style=3D'font-family:"T=
rebuchet MS";
 color:#666666'><b><u><p:onmouseclick hyperlinktype=3D"url"
  href=3D"http://www.britannica.com/eb/article?eu=3D26996"/><a
 href=3D"http://www.britannica.com/eb/article?eu=3D26996" target=3D"_parent"
 onclick=3D"window.event.cancelBubble=3Dtrue;">Counter-</a></u></b></span><=
span
 style=3D'font-family:"Trebuchet MS";color:#666666'><b><u><p:onmouseclick
  hyperlinktype=3D"url" href=3D"http://www.britannica.com/eb/article?eu=3D2=
6996"/><a
 href=3D"http://www.britannica.com/eb/article?eu=3D26996" target=3D"_parent"
 onclick=3D"window.event.cancelBubble=3Dtrue;">Reformation</a></u></b></spa=
n><span
 style=3D'font-family:"Trebuchet MS";color:#333333'> by pledging to execute=
 the
 reforming decrees of the </span><span style=3D'font-family:"Trebuchet MS";
 color:#333333'>Council of Trent. He appointed committees of cardinals to
 investigate </span><span style=3D'font-family:"Trebuchet MS";color:#333333=
'>abuses
 among ecclesiastics and to draft the </span><span style=3D'font-family:"Tr=
ebuchet MS";
 color:#333333'><i>Index Librorum </i></span><span style=3D'font-family:"Tr=
ebuchet MS";
 color:#333333'><i>Prohibitorum</i></span><span style=3D'font-family:"Trebu=
chet MS";
 color:#333333'> (&#8220;Index of Forbidden Books&#8221;). To carry out the
 council's </span><span style=3D'font-family:"Trebuchet MS";color:#333333'>=
decree
 ordering the establishment of seminaries, he founded several </span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>colleges and seminaries,
 including the Gregorian University, and </span><span style=3D'font-family:=
"Trebuchet MS";
 color:#333333'>delegated their direction to the Jesuits, whom he patronize=
d.
 These </span><span style=3D'font-family:"Trebuchet MS";color:#333333'>scho=
ols
 trained missionaries for those countries that had established </span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>Protestant state religi=
ons.</span>
 &#13;<span style=3D'font-family:"Trebuchet MS";color:#333333'>Gregory is o=
ften
 criticized for backing the Irish rebels against the anti-</span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>Catholic actions of Que=
en
 Elizabeth I of England and for his reaction </span><span style=3D'font-fam=
ily:
 "Trebuchet MS";color:#333333'>to the Massacre of St. Bartholomew's Day, the
 slaughter of Huguenots </span><span style=3D'font-family:"Trebuchet MS";
 color:#333333'>(French Protestants) that began in Paris on Aug. 24, 1572, =
and
 spread </span><span style=3D'font-family:"Trebuchet MS";color:#333333'>thr=
oughout
 France. He celebrated the massacre with a </span><span style=3D'font-famil=
y:
 "Trebuchet MS";color:#333333'><i>Te Deum</i></span><span style=3D'font-fam=
ily:
 "Trebuchet MS";color:#333333'> </span><span style=3D'font-family:"Trebuche=
t MS";
 color:#333333'>(hymn of praise to God) at Rome.</span> &#13;<span
 style=3D'font-family:"Trebuchet MS";color:#333333'>Aided chiefly by the
 Neapolitan astronomer and physician Luigi Lilio </span><span style=3D'font=
-family:
 "Trebuchet MS";color:#333333'>Ghiraldi (d. 1576) and the German Jesuit and
 mathematician </span><span style=3D'font-family:"Trebuchet MS";color:#3333=
33'>Christopher
 Clavius, Gregory corrected the errors of the Julian </span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>calendar created by Jul=
ius
 Caesar in 46 BC and issued the Gregorian </span><span style=3D'font-family=
:"Trebuchet MS";
 color:#333333'>calendar in 1582.</span> &#13;<span style=3D'font-family:"T=
rebuchet MS";
 color:#333333'>Gregory's building program, which included the </span><span
 style=3D'font-family:"Trebuchet MS";color:#666666'><b><u><p:onmouseclick
  hyperlinktype=3D"url" href=3D"http://www.britannica.com/eb/article?idxref=
=3D94056"/><a
 href=3D"http://www.britannica.com/eb/article?idxref=3D94056" target=3D"_pa=
rent"
 onclick=3D"window.event.cancelBubble=3Dtrue;">Quirinal Palace</a></u></b><=
/span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'> in </span><span
 style=3D'font-family:"Trebuchet MS";color:#333333'>Rome, together with his
 political ventures, exhausted the papal </span><span style=3D'font-family:=
"Trebuchet MS";
 color:#333333'>treasury, causing serious repercussions in the Papal States=
. He
 hired </span><span style=3D'font-family:"Trebuchet MS";color:#333333'>Igna=
zio
 Danti<span style=3D'mso-spacerun:yes'>&nbsp; </span>to equip his Galleria =
della
 Cart Geografiche at the </span><span style=3D'font-family:"Trebuchet MS";
 color:#333333'>Vatican. Danti installed a gnomen consisting of a hole in t=
he
 roof </span><span style=3D'font-family:"Trebuchet MS";color:#333333'>which=
 cast
 and image of the sun on a scale aligned along the meridian.<span
 style=3D'mso-spacerun:yes'>&nbsp; </span></span><span style=3D'font-family=
:"Trebuchet MS";
 color:#333333'>Using it Gregory convinced himself and others that the
 equinoxes were </span><span style=3D'font-family:"Trebuchet MS";color:#333=
333'>out
 of sych with the Julian Calendar.</span>&#13;
 <div><span style=3D'mso-special-format:lastCR'>&#13;</span></div>
 </div>
</p:notes>
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MkIyICFpbXBvcnRhbnQ7fQ0K

------=_NextPart_01C4CE46.8EAB4C80
Content-Location: file:///C:/0F7640D3/MarkingTime3_files/script.js
Content-Transfer-Encoding: quoted-printable
Content-Type: application/javascript; charset="us-ascii"

function LoadSld()
{
	var sld=3DGetObj("SlideObj")
	if( !g_supportsPPTHTML ) {	=09
		sld.style.visibility=3D"visible"
		return
	}

	if( MakeNotesVis() ) return

	runAnimations =3D _InitAnimations();
=09
	if( IsWin("PPTSld") )
		parent.SldUpdated(GetSldId())
	g_origSz=3DparseInt(SlideObj.style.fontSize)
	g_origH=3Dsld.style.posHeight
	g_origW=3Dsld.style.posWidth
	g_scaleHyperlinks=3D(document.all.tags("AREA").length>0)
	if( g_scaleHyperlinks )
		InitHLinkArray()
	if( g_scaleInFrame||(IsWin("PPTSld") && parent.IsFullScrMode() ) )
		document.body.scroll=3D"no"
	_RSW()
	if( IsWin("PPTSld") && parent.IsFullScrMode() )
		FullScrInit();
=09
	MakeSldVis();
	ChkAutoAdv()

	if( runAnimations )
	{
		if( document.all("NSPlay") )
			document.all("NSPlay").autoStart =3D false;

		if( sld.filters && sld.filters.revealtrans )
			setTimeout( "document.body.start()", sld.filters.revealtrans.duration * =
1000 );
		else
			document.body.start();
	}
}

function MakeSldVis()=20
{
	var fTrans=3Dg_showAnimation && SldHasTrans()
	if( fTrans )=09
	{
		if( g_bgSound ) {
			idx=3Dg_bgSound.indexOf(",");
			pptSound.src=3Dg_bgSound.substr( 0, idx );
			pptSound.loop=3D -(parseInt(g_bgSound.substr(idx+1)));
		}
		SlideObj.filters.revealtrans.Apply()=09
    }
	SlideObj.style.visibility=3D"visible"
	if( fTrans )
		SlideObj.filters.revealtrans.Play()
}
function MakeNotesVis()=20
{
	if( !IsNts() ) return false=20
	SlideObj.style.display=3D"none"
	nObj =3D document.all.item("NotesObj")
	parent.SetHasNts(0)
	if( nObj ) {=20
		nObj.style.display=3D""
		parent.SetHasNts(1)
	}
	return 1
}
function ChkAutoAdv()
{
	if(SldHasTrans())
		SlideObj.onfilterchange=3DAutoAdv
	else
		AutoAdv()
}
function AutoAdv()
{
	if(!IsWin("PPTSld") || !gUseSldTimings )return
	var sld=3DGetCurSld()
	if( (sld.mAdvDelay>0) && !parent.IsFramesMode() )
		setTimeout("parent.GoToNextSld()",sld.mAdvDelay)
}
function GetObj(id)
{
	if(g_supportsPPTHTML) return document.all(id);
	else return document.getElementById(id);
}
function SldHasTrans() { return SlideObj.style.filter !=3D ""; }
function GetSldId() { return sId=3Dlocation.href.substring(location.href.la=
stIndexOf('/')+1) }
function HideMenu() { if( frames["PPTSld"] && PPTSld.document.all.item("ctx=
tmenu") && PPTSld.ctxtmenu.style.display!=3D"none" ) { PPTSld.ctxtmenu.styl=
e.display=3D'none'; return true } return false }
function IsWin( name ) { return window.name =3D=3D name }
function IsNts() { return IsWin("PPTNts") }
function IsSldOrNts() { return( IsWin("PPTSld")||IsWin("PPTNts") ) }
function SupportsPPTAnimation() { return( navigator.platform =3D=3D "Win32"=
 && navigator.appVersion.indexOf("Windows")>0 ) }
function SupportsPPTHTML()
{
	var appVer=3Dnavigator.appVersion, msie=3DappVer.indexOf("MSIE "), ver=3D0
	if( msie >=3D 0 )
		ver=3DparseFloat( appVer.substring( msie+5, appVer.indexOf(";",msie) ) )
	else
		ver=3DparseInt(appVer)

	return( ver >=3D 4 && msie >=3D 0 )
}
function _RSW()
{
	if( !g_supportsPPTHTML || IsNts() ||
	  ( !g_scaleInFrame && (!IsWin("PPTSld") || !parent.IsFullScrMode()) ) )
		return

        var padding=3D0;
        if( IsWin("PPTSld") && parent.IsFramesMode() ) padding=3D6

	cltWidth=3Ddocument.body.clientWidth-padding
	cltHeight=3Ddocument.body.clientHeight-padding
	factor=3D(1.0*cltWidth)/g_origW
	if( cltHeight < g_origH*factor )
		factor=3D(1.0*cltHeight)/g_origH

	newSize =3D g_origSz * factor
	if( newSize < 1 ) newSize=3D1

	s=3DSlideObj.style
	s.fontSize=3DnewSize+"px"
	s.posWidth=3Dg_origW*factor
	s.posHeight=3Dg_origH*factor
	s.posLeft=3D(cltWidth-s.posWidth+padding)/2
	s.posTop=3D(cltHeight-s.posHeight+padding)/2

	if( g_scaleHyperlinks )
		ScaleHyperlinks( factor )
}
function _InitAnimations()
{
	animRuntimeInstalled =3D ''+document.body.localTime !=3D 'undefined';
	isFullScreen =3D (window.name =3D=3D "PPTSld") && !parent.IsFramesMode();
	g_animUseRuntime =3D g_showAnimation && animRuntimeInstalled && !(isFullSc=
reen && parent.IsSldVisited());
	if( g_animUseRuntime ) {
		collSeq =3D document.all.tags("seq");
		if( collSeq !=3D null ) {
			for(ii=3D0;ii<collSeq.length;ii++) {
				if( collSeq[ii].getAttribute( "p:nodeType" ) =3D=3D "mainSeq" ) {
					g_animMainSequence =3D collSeq[ii];
					break;
				}
			}
		}
=09
		if( g_animItemsToHide && document.body.playAnimations !=3D false ) {
			for(jj =3D 0; jj < g_animItemsToHide.length; jj++) {
				if( hideObj =3D GetObj(g_animItemsToHide[jj]) )
					hideObj.runtimeStyle.visibility=3D"hidden";
			}
		}

		if( g_animInteractiveItems ){
			for(jj =3D 0; jj < g_animInteractiveItems.length; jj++) {
				if( triggerObj =3D GetObj(g_animInteractiveItems[jj]) )
					triggerObj.runtimeStyle.cursor=3D"hand";
			}
		}
	=09
		if( gUseSldTimings && ''+g_animSlideTime !=3D 'undefined' ) {
			adjustedTime =3D document.body.calculateAutoAdvanceTimes( g_animSlideTim=
e, g_animEffectTimings );
			if( IsWin("PPTSld") && adjustedTime !=3D g_animSlideTime ) {
			   var sld =3D GetCurSld();
			   sld.mAdvDelay =3D adjustedTime * 1000;
			}
		}
	}

	return g_animUseRuntime;
}

gSldJump =3D 0, gSldJumpTrack =3D 0, gSldJumpIdx =3D "";

function _KPH()
{=20
	if( IsNts() ) return;

	if( !parent.IsFramesMode() && event.keyCode =3D=3D 27 && !HideMenu() )
		parent.window.close( self );
	else if( event.keyCode =3D=3D 32 ) {
		if( window.name =3D=3D "PPTSld" )
			parent.PPTSld.DocumentOnClick();
		else
			parent.GoToNextSld();
	}

	CatchNumKeys( parent, event );
}

function CatchNumKeys( win, event ) {
	if( win.IsFullScrMode() && (48<=3Devent.keyCode) && (event.keyCode<=3D57) =
) {
		gSldJump =3D 1;
		gSldJumpIdx +=3D (event.keyCode-48).toString();
	}
	if( win.IsFullScrMode() && gSldJump && event.keyCode =3D=3D 13 ) {
		var numSlds =3D parent.GetSldList().mList.length
		if ( gSldJumpIdx > numSlds )
			gSldJumpIdx =3D numSlds;
		if ( gSldJumpIdx >=3D 0 ) {
			if ( gSldJumpIdx =3D=3D 0 )
				gSldJumpIdx =3D 1;
			var jumpTo =3D parseInt(gSldJumpIdx);
			gSldJump =3D 0; gSldJumpIdx =3D "";
			win.GoToSld( parent.GetSldList().mList[jumpTo-1].mSldHref )
		}
	}
}

function _KDH()
{
	if( event.keyCode =3D=3D 8 ) {
		event.returnValue =3D 0;
		parent.GoToPrevSld();
	}
}
function DocumentOnClick()
{
	if( IsNts() || parent.HideMenu() ) return;
	if( ( g_allowAdvOnClick && !parent.IsFramesMode() ) ||
	    (event && (event.keyCode=3D=3D32) ) )
		parent.GoToNextSld();
}



var g_supportsPPTHTML =3D SupportsPPTHTML(), g_scaleInFrame =3D 1, gId=3D""=
, g_bgSound=3D"",
    g_scaleHyperlinks =3D false, g_allowAdvOnClick =3D 1, g_showInBrowser =
=3D 0, gLoopCont =3D 0, gUseSldTimings =3D 1;
var g_showAnimation =3D g_supportsPPTHTML && SupportsPPTAnimation() && ( (w=
indow.name=3D=3D"PPTSld" && !parent.IsFramesMode()) || g_showInBrowser );va=
r g_animManager =3D null;
var g_animUseRuntime =3D false;
var g_animItemsToHide, g_animInteractiveItems, g_animSlideTime;
var g_animMainSequence =3D null;

var ENDSHOW_MESG=3D"End of slide show, click to exit.", SCREEN_MODE=3D"Fram=
es", gIsEndShow=3D0, NUM_VIS_SLDS=3D30, SCRIPT_HREF=3D"script.js", FULLSCR_=
HREF=3D"fullscreen.htm";
var gCurSld =3D gPrevSld =3D 1, g_offset =3D 0, gNtsOpen =3D gHasNts =3D gO=
tlTxtExp =3D 0, gHasNarration =3D 0, gOtlOpen =3D true
window.gPPTHTML=3DSupportsPPTHTML()
var gMainDoc=3Dnew Array(new hrefList("slide0034.htm",1,-1,1),new hrefList(=
"slide0002.htm",1,-1,1),new hrefList("slide0003.htm",1,-1,1),new hrefList("=
slide0004.htm",1,-1,1),new hrefList("slide0005.htm",1,-1,1),new hrefList("s=
lide0006.htm",1,-1,1),new hrefList("slide0015.htm",1,-1,1),new hrefList("sl=
ide0007.htm",1,-1,1),new hrefList("slide0008.htm",1,-1,1),new hrefList("sli=
de0009.htm",1,-1,1),new hrefList("slide0010.htm",1,-1,1),new hrefList("slid=
e0011.htm",1,-1,1),new hrefList("slide0012.htm",1,-1,1),new hrefList("slide=
0013.htm",1,-1,1),new hrefList("slide0014.htm",1,-1,1),new hrefList("slide0=
023.htm",1,-1,1),new hrefList("slide0020.htm",1,-1,1),new hrefList("slide00=
21.htm",1,-1,1),new hrefList("slide0022.htm",1,-1,1),new hrefList("slide001=
9.htm",1,-1,1),new hrefList("slide0025.htm",1,-1,1),new hrefList("slide0024=
.htm",1,-1,1),new hrefList("slide0026.htm",1,-1,1),new hrefList("slide0027.=
htm",1,-1,1),new hrefList("slide0028.htm",1,-1,1),new hrefList("slide0029.h=
tm",1,-1,1),new hrefList("slide0030.htm",1,-1,1),new hrefList("slide0031.ht=
m",1,-1,1),new hrefList("slide0032.htm",1,-1,1),new hrefList("slide0033.htm=
",1,-1,1));

/*********************************************
 Frameset functions

 These functions control slide navigation
 and state of the frameset.
**********************************************/

function FullScrInit()
{
	g_allowAdvOnClick =3D GetCurSld().mAdvOnClk
	document.body.style.backgroundColor=3D"black"
	document.oncontextmenu=3Dparent._CM;
	document.onkeydown =3D _KDH;
	document.ondragstart=3DCancel
	document.onselectstart=3DCancel
	self.focus()
}

function Redirect( frmId )
{=09
	var str=3Ddocument.location.hash,idx=3Dstr.indexOf('#'), sId=3DGetSldId()
	if(idx>=3D0) str=3Dstr.substr(1);
	if( window.name !=3D frmId && ( sId !=3D str) ) {
		obj =3D GetObj("Main-File")
		window.location.href=3Dobj.href+"#"+sId
		return 1
	}
	return 0
}

var MHTMLPrefix =3D CalculateMHTMLPrefix();=20
function CalculateMHTMLPrefix()
{
	if ( document.location.protocol =3D=3D 'mhtml:') {=20
		href=3Dnew String(document.location.href)=20
		Start=3Dhref.indexOf('!')+1=20
		End=3Dhref.lastIndexOf('/')+1=20
		if (End < Start)=20
			return href.substring(0, Start)=20
		else=20
		return href.substring(0, End)=20
	}
	return '';
}

function GetTags(base,tag)
{
	if(g_supportsPPTHTML) return base.all.tags(tag);
	else return base.getElementsByTagName(tag);
}


function UpdNtsPane(){ if(frames["PPTNts"]) PPTNts.location.replace( MHTMLP=
refix+GetHrefObj( gCurSld ).mNtsHref ) }

function UpdNavPane( sldIndex ){ if(gNavLoaded) PPTNav.UpdNav() }

function UpdOtNavPane(){ if(gOtlNavLoaded) PPTOtlNav.UpdOtlNav() }

function UpdOtlPane(){ if(gOtlLoaded) PPTOtl.UpdOtl() }

function SetHasNts( fVal )
{
	if( gHasNts !=3D fVal ) {
		gHasNts=3DfVal
		UpdNavPane()
	}
}

function ToggleOtlText()
{
	gOtlTxtExp=3D!gOtlTxtExp
	UpdOtlPane()
}

function ClearMedia()
{
	// Clear any sounds playing before launching another browser window. Other=
wise,
	// in fullscreen mode, you'll continue to hear the sound in the frames mod=
e.
	if (PPTSld.pptSound) PPTSld.pptSound.loop =3D 0;
}

function FullScreen()
{=20
	if ( PPTSld.g_animUseRuntime )
		PPTSld.document.body.pause();
	ClearMedia();
	var href =3D ( document.location.protocol =3D=3D 'mhtml:') ? FULLSCR_HREF =
: FULLSCR_HREF+"#"+GetHrefObj(gCurSld).mSldHref;
	if(PPTNav.event.ctrlKey) {
		var w =3D (window.screen.availWidth * 1.0) / 2.0
		var h =3D w * (PPTSld.g_origH * 1.0) / PPTSld.g_origW
		win =3D window.open( MHTMLPrefix+href,null,"toolbar=3D0,resizable=3D1,top=
=3D0,left=3D0," + "width=3D"+ w + ",height=3D" + h );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
	else
	{
		win =3D window.open( MHTMLPrefix+href,null,"fullscreen=3Dyes" );
		if( win.document.body && PPTSld.g_animUseRuntime )
			win.document.body.PPTSldFrameset=3Dwindow;
	}
}

function ToggleVNarration()
{
	rObj=3DPPTSld.document.all("NSPlay")
	if( rObj && !PPTSld.g_animUseRuntime ) {
		if( (rObj.playState =3D=3D 1)||(rObj.playState =3D=3D 0) )
			rObj.Play()
		else if( rObj.playState =3D=3D 2 )
			rObj.Pause()
		else
			return;
	}
	else if( PPTSld.g_animUseRuntime )
	{
		narObj =3D PPTSld.document.all("narrationID")
		if( narObj )
			narObj.togglePause()
	}
}

function GetCurSldNum()
{  =20
	obj=3DGetHrefObj(gCurSld)
	if( obj.mOrigVis =3D=3D 1 )
		return obj.mSldIdx
	else  =20
		return gCurSld
}

function GetNumSlds()
{  =20
	if( GetHrefObj(gCurSld).mOrigVis =3D=3D 1 )
		return GetSldList().mNumVisSlds;
	else
		return GetSldList().mList.length
}

function GetSldNum( href )
{
	for(ii=3D0; ii<GetSldList().mList.length; ii++) {
		if ( GetSldList().mList[ii].mSldHref =3D=3D href )
			return ii+1
	}
	return 1
}

function GetHrefObj( sldIdx ){ return GetSldList().mList[sldIdx-1] }

function IsFramesMode(){ return ( SCREEN_MODE =3D=3D "Frames" ) }

function IsFullScrMode(){ return ( SCREEN_MODE =3D=3D "FullScreen" ) }

function GoToNextSld()
{
	ii=3DgCurSld + 1
	if( GetHrefObj( ii-1 ).mOrigVis =3D=3D 0 ) {
		if( ii<=3DGetSldList().mList.length ) {
			obj=3DGetHrefObj(ii)
			obj.mVis=3D1
			GoToSldNum(ii)
			return
		}
	}
	else {
		obj=3DGetHrefObj( ii )
		while ( obj && ( obj.mOrigVis =3D=3D 0 ) )
			obj=3DGetHrefObj(++ii)
		if( obj && obj.mOrigVis ) {
			GoToSldNum(ii)
			return
		}
	}
	if( gSldStack.length > 1 )
		PopSldList();
	else if( !IsFramesMode() ) {
                if( gLoopCont )
			GoToFirst()
                else
			EndShow()
	}
}

function GoToPrevSld()
{
	ii=3DgCurSld-1
	if( ii > 0 ) {
		obj=3DGetHrefObj(ii)
		while ( obj && ( obj.mVis =3D=3D 0 ) && ( ii>0 ) )
			obj=3DGetHrefObj(--ii)
        if( ii =3D=3D 0 ) ii=3D1
		GoToSldNum(ii)
	}
}

function GoToFirst(){ GoToSld( GetHrefObj(1).mSldHref ) }

function GoToLast()
{
	ii=3DGetSldList().mList.length
	if( ii !=3D gCurSld )
		GoToSld( GetHrefObj(ii).mSldHref )
}

function GoToSldNum( num )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	obj =3D GetHrefObj( num )
	obj.mVis=3D1
	gPrevSld=3DgCurSld
	gCurSld =3D num;
	PPTSld.location.replace(MHTMLPrefix+obj.mSldHref)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function GoToSld( href )
{
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
	GetHrefObj( GetSldNum(href) ).mVis=3D1
	PPTSld.location.replace(MHTMLPrefix+href)
}

function SldUpdated( id )
{
	if( id =3D=3D GetHrefObj(gCurSld).mSldHref ) return
	gPrevSld=3DgCurSld
	gCurSld=3DGetSldNum(id)
	if( IsFramesMode() ) {
		UpdNavPane(); UpdOtlPane(); UpdNtsPane()
	}
}

function PrevSldViewed(){ GoToSld( GetHrefObj(gPrevSld).mSldHref ) }
function HasPrevSld() { return ( gIsEndShow || ( gCurSld !=3D 1 && GetHrefO=
bj( gCurSld-1 ).mVis =3D=3D 1 )||( GetCurSldNum() > 1 ) ) }
function HasNextSld() { return (GetCurSldNum() !=3D GetNumSlds()) }

function CloseWindow() {
	if( HideMenu() ) return;
=09
	var event =3D PPTSld.event;
	if( !IsFramesMode() && event && (event.keyCode=3D=3D27 || event.keyCode=3D=
=3D32 || event.type=3D=3D"click" ) )
		window.close( self );
	CatchNumKeys( self, event );
}

function Unload() { gIsEndShow=3D0; }

function SetupEndShow() {
	gIsEndShow=3D1;
	PPTSld.document.body.scroll=3D"no";
	PPTSld.document.onkeypress=3DCloseWindow;
	PPTSld.document.onclick=3DCloseWindow;
	PPTSld.document.oncontextmenu=3D_CM;
}

function EndShow()
{
	if( IsFramesMode() ) return
	if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue

	doc=3DPPTSld.document
	var dir =3D doc.body.dir
	if( dir !=3D "rtl" ) dir =3D "ltr";
	doc.open()
	doc.writeln('<html><body dir=3D' + dir + ' bgcolor=3Dblack onload=3Dparent=
.SetupEndShow() onunload=3Dparent.Unload()><center><p><font face=3DTahoma c=
olor=3Dwhite size=3D2><br><b>' + ENDSHOW_MESG + '</b></font></p></center></=
body></html>')
	doc.close()
}

function SetSldVisited(){ GetSldList().mList[gCurSld-1].mVisited=3Dtrue }

function IsSldVisited(){ return GetSldList().mList[gCurSld-1].mVisited }

function hrefList( sldHref, visible, advDelay, advClk )
{
	this.mSldHref=3D this.mNtsHref =3D sldHref
	this.mOrigVis=3D this.mVis =3D visible
	this.mVisited=3D false
	this.mAdvDelay=3D advDelay
	this.mAdvOnClk=3D advClk
}

function SldList(arr,curSld,fEnd)
{
	this.mCurSld =3D curSld;
	this.mList =3D new Array();

	var idx =3D 1;
	for(ii=3D0;ii<arr.length;ii++) {
		this.mList[ii] =3D new hrefList( arr[ii].mSldHref, arr[ii].mOrigVis, arr[=
ii].mAdvDelay, arr[ii].mAdvOnClk );
		if( arr[ii].mOrigVis )
			this.mList[ii].mSldIdx =3D idx++;
	}
	this.mNumVisSlds =3D idx-1;
	this.fEndShow =3D fEnd;
}

function GetSldList() {	return gSldStack[gSldStack.length-1] }
function GetCurSld() { return parent.GetSldList().mList[parent.gCurSld - 1]=
 }

gSldStack =3D new Array();
gSldStack[0] =3D new SldList(gMainDoc,gCurSld,1)
function ToggleOtlPane()
{
	frmset=3Ddocument.all("PPTHorizAdjust")
	frm=3Ddocument.all("PPTOtl")

	if( gOtlOpen )
		frmset.cols=3D"*,100%"
	else
		frmset.cols=3D"25%,*"

	gOtlOpen=3D!gOtlOpen
	frm.noResize=3D!frm.noResize
	UpdOtNavPane()
}

function ToggleNtsPane()
{
	frmset=3Ddocument.all("PPTVertAdjust")
	frm=3Ddocument.all("PPTNts")

	if( gNtsOpen )
		frmset.rows=3D"100%,*"
	else
		frmset.rows=3D"*,20%"

	gNtsOpen=3D!gNtsOpen
	UpdNtsPane()
}

/*********************************************
Custom Shows implementation

When ViewCustomShow() is called, we create
a new array that is a subset of the slides in=20
the main doc. This list pushed on a stack so
we can return after the end of the custom
show.
*********************************************/
function ViewCustomShow(idx,fEnd)
{
	if( !IsFullScrMode() ) return;
	var sldList =3D new Array();
	var custShow =3D custShowList[idx-1];
	var jj =3D 0;
	for( ii=3D0;ii<custShow.length;ii++ ) {
		if( custShow[ii] <=3D gMainDoc.length )
			sldList[jj++] =3D gMainDoc[custShow[ii]-1];
	}
	if (sldList.length > 0) {
	PushSldList(sldList,fEnd);
	gCurSld =3D 1;
	}
	else
		if( PPTSld.event ) PPTSld.event.cancelBubble=3Dtrue
}

function PushSldList(arr,fEnd) {
	var ii =3D gSldStack.length;
	gSldStack[ii] =3D new SldList(arr,gCurSld,fEnd);
	GoToSld( gSldStack[ii].mList[0].mSldHref );
}

function PopSldList() {
	if (gSldStack[gSldStack.length-1].fEndShow)
		EndShow()
	else {
	gCurSld =3D gSldStack[gSldStack.length-1].mCurSld;
	gSldStack[gSldStack.length-1] =3D null;
	gSldStack.length--;
	var sldList =3D gSldStack[gSldStack.length-1];
	GoToSld( sldList.mList[gCurSld - 1].mSldHref );
	}
}
var custShowList=3Dnew Array();

/*********************************************
 Navigation button implementation

 There are 2 types of buttons: ImgBtn, TxtBtn
 implemented as function objects. They share
 a similiar interface so the event handlers
 can call SetActive, for example, on a button=20
 object without needing to know exactly=20
 what type of button it is.
**********************************************/

//----------------------------------
function ImgBtn( oId,bId,w,action )
//----------------------------------
{
	var t=3Dthis
	t.Perform    =3D _IBP
	t.SetActive  =3D _IBSetA
	t.SetInactive=3D _IBSetI
	t.SetPressed =3D _IBSetP
	t.SetDisabled=3D _IBSetD
	t.Enabled    =3D _IBSetE
	t.ChangeIcon =3D null
	t.UserAction =3D action
	t.ChgState   =3D _IBUI
	t.mObjId   =3D oId
	t.mBorderId=3D bId
	t.mWidth   =3D w
	t.mIsOn    =3D t.mCurState =3D 0
}

function _IBSetA()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _IBSetI()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0=20
	}
}

function _IBSetP()
{
	if( this.mIsOn ) {
		obj=3Dthis.ChgState( gShadowClr,gHiliteClr,2 )
		obj.style.posLeft+=3D1; obj.style.posTop+=3D1
	}
}

function _IBSetD()
{ =20
	obj=3Dthis.ChgState( gFaceClr,gFaceClr,0 )
	obj.style.posTop=3D0=20
}

function _IBSetE( state )
{
	var t=3Dthis
	GetObj( t.mBorderId ).style.visibility=3D"visible"
	if( state !=3D t.mIsOn ) {
		t.mIsOn=3Dstate
		if( state )
			t.SetInactive()
		else
			t.SetDisabled()
	}
}

function _IBP()
{
	var t=3Dthis
	if( t.mIsOn ) {
		if( t.UserAction !=3D null )
			t.UserAction()
		if( t.ChangeIcon ) {
			obj=3DGetObj(t.mObjId)
			if( t.ChangeIcon() )
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-4)*t.mWidth
			else
				obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-0)*t.mWidth
		}
		t.SetActive()
	} =20
}

function _IBUI( clr1,clr2,nextState )
{
	var t=3Dthis
	SetBorder( GetObj( t.mBorderId ),clr1,clr2 )
	obj=3DGetObj( t.mObjId )
	obj.style.posLeft=3Dobj.style.posLeft+(t.mCurState-nextState)*t.mWidth-obj=
.style.posTop
	t.mCurState=3DnextState
	return obj
}

//-----------------------------------------
function TxtBtn( oId,oeId,action,chkState )
//-----------------------------------------
{
	var t=3Dthis
	t.Perform    =3D _TBP
	t.SetActive  =3D _TBSetA
	t.SetInactive=3D _TBSetI
	t.SetPressed =3D _TBSetP
	t.SetDisabled=3D _TBSetD
	t.SetEnabled =3D _TBSetE
	t.GetState   =3D chkState
	t.UserAction =3D action
	t.ChgState   =3D _TBUI
	t.mObjId      =3D oId
	t.m_elementsId=3D oeId
	t.mIsOn       =3D 1
}

function _TBSetA()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gHiliteClr,gShadowClr,0,0 )
}

function _TBSetI()
{
	var t=3Dthis
	if( t.mIsOn && !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
}

function _TBSetP()
{
	if( this.mIsOn )
		this.ChgState( gShadowClr,gHiliteClr,1,1 )
}

function _TBSetD()
{  =20
	this.ChgState( gFaceClr,gFaceClr,0,0 )
	this.mIsOn =3D 0
}

function _TBSetE()
{
	var t=3Dthis
	if( !t.GetState() )
		t.ChgState( gFaceClr,gFaceClr,0,0 )
	else
		t.ChgState( gShadowClr,gHiliteClr,1,1 )
	t.mIsOn =3D 1
}

function _TBP()
{
	var t=3Dthis
	if( t.mIsOn ) {=20
		if( t.UserAction !=3D null )
			t.UserAction()
        if( !t.GetState )
            return
		if( t.GetState() )
			t.SetPressed()
		else
			t.SetActive()
	} =20
}

function _TBUI( clr1,clr2,lOffset,tOffset )
{
	SetBorder( GetObj( this.mObjId ),clr1,clr2 )
	Offset( GetObj( this.m_elementsId ),lOffset,tOffset )
}

function Offset( obj, top, left ){ obj.style.top=3Dtop; obj.style.left=3Dle=
ft }

function SetBorder( obj, upperLeft, lowerRight )
{
	s=3Dobj.style;
	s.borderStyle      =3D "solid"
	s.borderWidth      =3D 1=20
	s.borderLeftColor  =3D s.borderTopColor =3D upperLeft
	s.borderBottomColor=3D s.borderRightColor =3D lowerRight
}

function GetBtnObj(){ return gBtnArr[window.event.srcElement.id] }

function BtnOnOver(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetActive() }

function BtnOnDown(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetPressed() }

function BtnOnOut(){ b=3DGetBtnObj(); if( b !=3D null ) b.SetInactive() }

function BtnOnUp()
{
	b=3DGetBtnObj()
	if( b !=3D null )
		b.Perform()
	else
		Upd()
}
function GetNtsState(){ return parent.gNtsOpen }

function GetOtlState(){ return parent.gOtlOpen }

function GetOtlTxtState(){ return parent.gOtlTxtExp }

function NtsBtnSetFlag( fVal )
{
	s=3Ddocument.all.item( this.m_flagId ).style
	s.display=3D"none"
	if( fVal )
		s.display=3D""
	else
		s.display=3D"none"
}

function _BSetA_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etActive() }

function _BSetI_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etInactive() }

function _BSetP_Border(){ b =3D gBtnArr[this.mObjId]; if( b !=3D null ) b.S=
etPressed() }

function _BSetA_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]=20
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gHiliteClr,gShadowClr,2 )
		obj.style.posTop=3D0
	}
}

function _BSetI_BorderImg()
{=20
	b =3D gBtnArr[this.mBorderId]
	if( b !=3D null && this.mIsOn && !b.GetState() ) {
		obj=3Dthis.ChgState( gFaceClr,gFaceClr,1 )
		obj.style.posTop=3D0
	}
}


var gHiliteClr=3D"THREEDHIGHLIGHT",gShadowClr=3D"THREEDSHADOW",gFaceClr=3D"=
THREEDFACE"
var gBtnArr =3D new Array()
gBtnArr["nb_otl"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOtlPan=
e,GetOtlState )
gBtnArr["nb_otlElem"] =3D new TxtBtn( "nb_otl","nb_otlElem",parent.ToggleOt=
lPane,GetOtlState )
gBtnArr["nb_nts"] =3D new ImgBtn( "nb_nts","nb_ntsBorder",10,parent.ToggleN=
tsPane )
gBtnArr["nb_nts"].SetActive =3D _BSetA_BorderImg;
gBtnArr["nb_nts"].SetInactive =3D _BSetI_BorderImg;
gBtnArr["nb_ntsBorder"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.=
ToggleNtsPane,GetNtsState )
gBtnArr["nb_ntsElem"] =3D new TxtBtn( "nb_ntsBorder","nb_ntsElem",parent.To=
ggleNtsPane,GetNtsState )
gBtnArr["nb_prevBorder"] =3D gBtnArr["nb_prev"]=3D new ImgBtn( "nb_prev","n=
b_prevBorder",30,parent.GoToPrevSld )
gBtnArr["nb_nextBorder"] =3D gBtnArr["nb_next"]=3D new ImgBtn( "nb_next","n=
b_nextBorder",30,parent.GoToNextSld )
gBtnArr["nb_sldshw"]=3D new ImgBtn( "nb_sldshw","nb_sldshwBorder",18,parent=
.FullScreen )
gBtnArr["nb_sldshwBorder"] =3D new TxtBtn( "nb_sldshw","nb_sldshwBorder",pa=
rent.FullScreen,null )
gBtnArr["nb_sldshwBorder"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwBorder"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_sldshwText"] =3D new TxtBtn( "nb_sldshw","nb_sldshwText",parent=
.FullScreen,null )
gBtnArr["nb_sldshwText"].SetActive =3D _BSetA_Border;
gBtnArr["nb_sldshwText"].SetInactive =3D _BSetI_Border;
gBtnArr["nb_voice"] =3D gBtnArr["nb_voiceBorder"] =3D new ImgBtn( "nb_voice=
","nb_voiceBorder",18,parent.ToggleVNarration )
gBtnArr["nb_otlTxtBorder"] =3D gBtnArr["nb_otlTxt"]=3D new ImgBtn( "nb_otlT=
xt","nb_otlTxtBorder",23,parent.ToggleOtlText )
gBtnArr["nb_ntsBorder"].m_flagId=3D "nb_nts"
gBtnArr["nb_ntsBorder"].SetFlag =3D NtsBtnSetFlag
gBtnArr["nb_otlTxt"].ChangeIcon=3D GetOtlTxtState

/*********************************************
 Context menu implementation

 _CM() is the function that's hooked up to
 the oncontextmenu event. Once we're asked to
 show the menu, we first build it by creating
 DIVs on-the-fly. Then we position it=20
 within the screen area so it doesn't get
 clipped.

 Creating the DIVs using createElement() means
 we don't have to write out any extra HTML
 into the slide HTML files.
**********************************************/
var sNext=3D"Next",sPrev=3D"Previous",sEnd=3D"End Show",sFont=3D"Arial",sAr=
row=3D"Arrow",sFreeform=3D"Freeform",sRect=3D"Rectangle",sOval=3D"Oval"

function ShowMenu()
{
	BuildMenu();
	var doc=3DPPTSld.document.body,x=3DPPTSld.event.clientX+doc.scrollLeft,y=
=3DPPTSld.event.clientY+doc.scrollTop
	m =3D PPTSld.document.all.item("ctxtmenu")
	m.style.pixelLeft=3Dx
	if( (x+m.scrollWidth > doc.clientWidth)&&(x-m.scrollWidth > 0) )
		m.style.pixelLeft=3Dx-m.scrollWidth

	m.style.pixelTop=3Dy
	if( (y+m.scrollHeight > doc.clientHeight)&&(y-m.scrollHeight > 0) )
		m.style.pixelTop=3Dy-m.scrollHeight

	m.style.display=3D""
}

function _CM()
{
	if( !parent.IsFullScrMode() ) return;
	if(!PPTSld.event.ctrlKey) {
		ShowMenu()
		return false
	} else
		HideMenu()
}

function BuildMenu()
{
	if( PPTSld.document.all.item("ctxtmenu") ) return

	var mObj=3DCreateItem( PPTSld.document.body )
	mObj.id=3D"ctxtmenu"
	mObj.style.visibility=3D"hidden"
	var s=3DmObj.style
	s.position=3D"absolute"
	s.cursor=3D"default"
	s.width=3D"120px"
	SetCMBorder(mObj,"menu","black")

	var iObj=3DCreateItem( mObj )
	SetCMBorder( iObj, "threedhighlight","threedshadow" )
	iObj.style.padding=3D2
	CreateMenuItem( iObj,sNext,M_GoNextSld,M_True )
	CreateMenuItem( iObj,sPrev,M_GoPrevSld,M_HasPrevSld )
=09
	CreateSeparator( iObj )
	CreateMenuItem( iObj,sEnd,M_End,M_True )
	mObj.style.visibility=3D"visible"
}

function Cancel() { window.event.cancelBubble=3Dtrue; window.event.returnVa=
lue=3Dfalse }

function Highlight() { ChangeClr("activecaption","threedhighlight") }

function Deselect() { ChangeClr("threedface","menutext") }

function Perform()
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() )
		e.Action()
	else
		PPTSld.event.cancelBubble=3Dtrue
}
function ChangeClr( bg,clr )
{
	e=3DPPTSld.event.srcElement
	if( e.type=3D=3D"menuitem" && e.IsActive() ) {
		e.style.backgroundColor=3Dbg
		e.style.color=3Dclr
	}
}

function M_HasPrevSld() { return( parent.HasPrevSld() ) }

function M_GoNextSld() { if( gIsEndShow ) M_End(); else GoToNextSld() }

function M_GoPrevSld() { if( gIsEndShow ) { gIsEndShow=3D0; history.back();=
 PPTSld.event.cancelBubble=3Dtrue; } else GoToPrevSld() }

function M_True() { return true }

function M_End() { window.close( self ) }

function CreateMenuItem( node,text,action,eval )
{
	var e=3DCreateItem( node )
	e.type=3D"menuitem"
	e.Action=3Daction
	e.IsActive=3Deval
	e.innerHTML=3Dtext

	if( !e.IsActive() )
		e.style.color=3D"threedshadow"

	e.onclick=3DPerform
	e.onmouseover=3DHighlight
	e.onmouseout=3DDeselect
	s=3De.style;
	s.fontFamily=3DsFont
	s.fontSize=3D"9pt"
	s.paddingLeft=3D2
}

function CreateSeparator( node )
{
	var sObj=3DCreateItem( node )
	SetCMBorder(sObj,"menu","menu")
	var s=3DsObj.style
	s.borderTopColor=3D"threedshadow"
	s.borderBottomColor=3D"threedhighlight"
	s.height=3D1
	s.fontSize=3D"0px"
}

function CreateItem( node )
{
	var elem=3DPPTSld.document.createElement("DIV")
	node.insertBefore( elem )
	return elem
}

function SetCMBorder( o,ltClr,rbClr )
{
	var s=3Do.style
	s.backgroundColor=3D"menu"
	s.borderStyle=3D"solid"
	s.borderWidth=3D1
	s.borderColor=3DltClr+" "+rbClr+" "+rbClr+" "+ltClr
}
------=_NextPart_01C4CE46.8EAB4C80
Content-Location: file:///C:/0F7640D3/MarkingTime3_files/fullscreen.htm
Content-Transfer-Encoding: quoted-printable
Content-Type: text/html; charset="us-ascii"

<html>

<head>
<meta http-equiv=3DContent-Type content=3D"text/html; charset=3Dus-ascii">
<meta name=3DProgId content=3DPowerPoint.Slide>
<meta name=3DGenerator content=3D"Microsoft PowerPoint 11">
<link id=3DMain-File rel=3DMain-File href=3D"../MarkingTime3.htm">
<link rel=3DPreview href=3Dpreview.wmf>
<![if IE]>
<base href=3D"file:///C:\0F7640D3\MarkingTime3_files\fullscreen.htm"
id=3D"webarch_temp_base_tag">
<![endif]><script src=3Dscript.js></script>
<script><!--
var SCREEN_MODE   =3D "FullScreen";

function Load() {
	str=3Dunescape(document.location.hash),idx=3Dstr.indexOf('#')
	if(idx>=3D0) str=3Dstr.substr(1);
	if(!str) str =3D "slide0034.htm";
=09
	PPTSld.location.replace(MHTMLPrefix+escape(str));=09
}

function Unload() {
	if ( document.body.PPTSldFrameset !=3D null )
		document.body.PPTSldFrameset.frames[1].document.body.resume();
}

//-->
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    (Lecture 3)</a></font></div>
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  <ul>
   <li>John C. Stevenson</li>
   <li>Emeritus Professor of Mathematics</li>
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   <br>
   <br>
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esar</a></font></div>
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this)"
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ar
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  <ul>
   <li>Begins in 753 BC (4<sup>th</sup> year of 6<sup>th</sup> Olympiad, the
       first being in 776 BC)</li>
   <li>By tradition Romulus introduced a 304 day calendar consisting of 10
       months</li>
   <li>About 675 BC Numa added two months to make 355 days and a 22 day mon=
th Mercedonius
       every second year</li>
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a =3D
       sacrifice time</li>
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ars =3D
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   <li>April:<span style=3D'mso-spacerun:yes'>&nbsp; </span>Aprilis =3D &#8=
220;to
       open&#8221; =3D Spring</li>
   <li>May:<span style=3D'mso-spacerun:yes'>&nbsp; </span>Maia =3D goddess =
of
       growth</li>
   <li>June:<span style=3D'mso-spacerun:yes'>&nbsp; </span>Juvenis =3D
       &#8220;youth&#8221;</li>
   <li>July (formerly Quintilis) :<span style=3D'mso-spacerun:yes'>&nbsp;
       </span>Julius Caesar</li>
   <li>August (formerly Sextilis) :<span style=3D'mso-spacerun:yes'>&nbsp;
       </span>Caesar Augustus</li>
   <li>September to December =3D months 7 to 10, beginning with March befor=
e Numa
       added the two initial months above</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>5</font></div>
  </td>
  <td>
  <div id=3DPPTP5 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0005.htm');" id=3DPPTL5>What Were the Big
  Issues?</a></font></div>
  <div id=3DPPTC5 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The Pontifex Maximus or the Pontifical College changed intercalary d=
ays
       based on politics or whimsy</li>
   <li>Even done correctly the cycle over 4 years averaged 366.25 days</li>
   <li>Preoccupation with Hannibal meant no corrections and by 190 BC the
       calendar was ahead of the seasons by 119 days</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>6</font></div>
  </td>
  <td>
  <div id=3DPPTP6 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0006.htm');" id=3DPPTL6>What Did Caesar =
Do?</a></font></div>
  <div id=3DPPTC6 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>While dallying in Alexandria he met Sosigenes and talked of calendar
       reform</li>
   <li>Acting on Sosigenes recommendations he:</li>
   <ul>
    <li>Added 10 days to the existing 355</li>
    <li>Established the leap year rule</li>
    <li>Added 90 days to 46 BC making it 445 days and pulling the vernal
        equinox back to late March from late June</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>7</font></div>
  </td>
  <td>
  <div id=3DPPTP7 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0015.htm');" id=3DPPTL7>Lengths Of The M=
onths</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>8</font></div>
  </td>
  <td>
  <div id=3DPPTP8 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0007.htm');" id=3DPPTL8>The Astrological
  Saturday</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>9</font></div>
  </td>
  <td>
  <div id=3DPPTP9 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0008.htm');" id=3DPPTL9>The Planetary We=
ek</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>10</font></div>
  </td>
  <td>
  <div id=3DPPTP10 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0009.htm');" id=3DPPTL10>Days of the Wee=
k</a></font></div>
  <div id=3DPPTC10 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Sunday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For the Sun</l=
i>
   <li>Monday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For the Moon</=
li>
   <li>Tuesday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For Tiu, Anglo
       Saxon for Mars</li>
   <li>Wednesday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For Woden (=
=3D
       Mercury)</li>
   <li>Thursday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For Thor (=3D
       Jupiter)</li>
   <li>Friday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For Freya (=3D=
 Venus)</li>
   <li>Saturday:<span style=3D'mso-spacerun:yes'>&nbsp; </span>For Saturn</=
li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>11</font></div>
  </td>
  <td>
  <div id=3DPPTP11 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0010.htm');" id=3DPPTL11>Constantine the=
 Great</a></font></div>
  <div id=3DPPTC11 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>In 312 he &#8220;saw&#8221; a crucifix in the Sun</li>
   <li>Edict of Milan 313: Tolerate Christians</li>
   <li>In 321 established a 7-day week beginning on Sunday</li>
   <li>Forbade work on Sundays in 323</li>
   <li>Summoned the Council of Nicaea in 325</li>
   <br>
   <br>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>12</font></div>
  </td>
  <td>
  <div id=3DPPTP12 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0011.htm');" id=3DPPTL12>The Council of =
Nicaea</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>13</font></div>
  </td>
  <td>
  <div id=3DPPTP13 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0012.htm');" id=3DPPTL13>The Problem of =
Easter
  by 325</a></font></div>
  <div id=3DPPTC13 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Christianity decriminalized</li>
   <li>Faith is rooted in historical events and thus needs a universally ag=
reed
       calendar</li>
   <li>Last Supper seems to be 1<sup>st</sup> day of Passover</li>
   <li>Easter linked to Judaism since the Jews must determine the time of 15
       Nisan</li>
   <li>Solution at Nicaea links Easter to the Vernal equinox and legislates=
 it
       be a Sunday.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>14</font></div>
  </td>
  <td>
  <div id=3DPPTP14 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0013.htm');" id=3DPPTL14>The Solution</a=
></font></div>
  <div id=3DPPTC14 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Make Easter the first Sunday after the first full moon following the
       vernal equinox.</li>
   <ul>
    <li>Seemingly separated Easter from Passover</li>
    <li>Eliminated dependence on Jewish elders to determine the correct dat=
e</li>
   </ul>
   <li>New Problem:<span style=3D'mso-spacerun:yes'>&nbsp; </span>There was=
 no
       adequate method at hand for determining the date of the vernal equin=
ox
       closer than a few days.</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>15</font></div>
  </td>
  <td>
  <div id=3DPPTP15 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0014.htm');" id=3DPPTL15>Solution to the=
 New
  Problem</a></font></div>
  <div id=3DPPTC15 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Fix the date of the Vernal Equinox at March 21 no matter what happen=
s in
       the sky</li>
   <li>Ignore the fact that every year the Julian calendar lags by a furthe=
r 11
       minutes</li>
   <ul>
    <li>Note that in 325 the equinox had slipped back from March 25 to about
        March 21</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>16</font></div>
  </td>
  <td>
  <div id=3DPPTP16 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0023.htm');" id=3DPPTL16>Other Easter
  Calculations</a></font></div>
  <div id=3DPPTC16 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Under the Julian calendar the days of the week for January 1 repeat
       every 28 (4 x 7) years</li>
   <li>Toss in the Metonic cycle of 19 years to get a great cycle of 532 (2=
8 x
       19) years</li>
   <ul>
    <li>Problem: luna 16-22 (Rome) vs. luna 15-21 (Alexandria) unresolved</=
li>
   </ul>
   <li>Denis the Small in ca. 530</li>
   <ul>
    <li>Adopts the Roman 21 March date for the equinox</li>
    <li>Adopts the luna 15-21 rule</li>
    <li>Crafts a 95 (5 x 19) year table for the date of Easter</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>17</font></div>
  </td>
  <td>
  <div id=3DPPTP17 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0020.htm');" id=3DPPTL17><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>18</font></div>
  </td>
  <td>
  <div id=3DPPTP18 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0021.htm');" id=3DPPTL18><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>19</font></div>
  </td>
  <td>
  <div id=3DPPTP19 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0022.htm');" id=3DPPTL19><span
  style=3D'mso-spacerun:yes'>&nbsp;</span></a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>20</font></div>
  </td>
  <td>
  <div id=3DPPTP20 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0019.htm');" id=3DPPTL20>http://www.bede=
sworld.co.uk/index.php</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>21</font></div>
  </td>
  <td>
  <div id=3DPPTP21 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0025.htm');" id=3DPPTL21>Calendar Critic=
s After
  Bede</a></font></div>
  <div id=3DPPTC21 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Robert Grosseteste (1178-1253)</li>
   <li>John Holywood (Sacrobosco)</li>
   <li>Roger Bacon (1214-1294) sent material to Clement IV</li>
   <li>In 1344 Clement VI invites astronomers to Avignon</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>22</font></div>
  </td>
  <td>
  <div id=3DPPTP22 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0024.htm');" id=3DPPTL22>Pope in Avignon
  1309-1377</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>23</font></div>
  </td>
  <td>
  <div id=3DPPTP23 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0026.htm');" id=3DPPTL23>Reform At Last<=
/a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>24</font></div>
  </td>
  <td>
  <div id=3DPPTP24 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0027.htm');" id=3DPPTL24>Lilius &amp; Cl=
avius</a></font></div>
  <div id=3DPPTC24 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Gregory&#8217;s reform was proposed by Lilius and promoted by Clavius
       after both Lilius and the Pope were dead.</li>
   <ul>
    <li>Removal of P leap days every Q years shortens the average year by
        365.25 &#8211; P/Q days</li>
    <li>L &amp; C proposed 97 days suppressed every 400 years: years divisi=
ble
        by 100 but not divisible by 400 remain common</li>
    <li>This yields an average year of 365.2425 days</li>
    <li>Delete 10 days from 1582, moving the equinox to 21 March</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>25</font></div>
  </td>
  <td>
  <div id=3DPPTP25 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0028.htm');" id=3DPPTL25>On To England i=
n 1781</a></font></div>
  <div id=3DPPTC25 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Legislators (House of Lords) determined not to mention the Catholic
       Church</li>
   <li>Embrace the Lilius/Clavius rules for leap day suppression</li>
   <li>Must remove 11 days to square with Gregorian Calendar</li>
   <li>Easter confusion: See Duncan Steel</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>26</font></div>
  </td>
  <td>
  <div id=3DPPTP26 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0029.htm');" id=3DPPTL26>Numbers For Fin=
ding
  Easter</a></font></div>
  <div id=3DPPTC26 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>The Golden Number: Position of a year in the 19 year Metonic cycle =
=3D
       mod(Y,19) + 1</li>
   <li>The Epact is the age of the ecclesiastical moon (1-29) on January 1<=
/li>
   <ul>
    <li>Process begins in 1583 &amp; it gets golden number 1 and epact 1 (by
        design)</li>
    <li>1/1,2/12,3/23,4/4,5/15,6/26,7/7,8/18,&#8230;,19/19</li>
    <li>The above golden #/Epact last to 1699</li>
    <li>Each successive epact # increases by 11 mod 30<br>
                11 being the difference 365 &#8211; 354 (solar &#8211; luna=
r)</li>
   </ul>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>27</font></div>
  </td>
  <td>
  <div id=3DPPTP27 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0030.htm');" id=3DPPTL27>Table of Golden=
 Numbers
  &amp; Epacts</a></font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>28</font></div>
  </td>
  <td>
  <div id=3DPPTP28 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0031.htm');" id=3DPPTL28>What Day Were Y=
ou Born?</a></font></div>
  <div id=3DPPTC28 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Give your birthday as (d, m, y)</li>
   <li>A=3D1 if m=3D1 or 2, else A=3D0</li>
   <li>B=3Dy &#8211; A</li>
   <li>C=3Dm+(12 x A)-2</li>
   <li>Z=3Dd+B+B/4-B/100+B/400+(31 x C)/12<br>
              and toss away the remainders each time</li>
   <li>X =3D mod(Z,7)</li>
   <li>0 =3D Sunday, 1 =3D Monday, 2 =3D Tuesday, &#8230;..</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>29</font></div>
  </td>
  <td>
  <div id=3DPPTP29 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0032.htm');" id=3DPPTL29>Example For You=
rs Truly</a></font></div>
  <div id=3DPPTC29 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Birthday is (24, 2, 1937)</li>
   <li>A =3D 1</li>
   <li>B =3D 1937 &#8211; 1 =3D 1936</li>
   <li>C =3D 2 + 12 &#8211; 2 =3D 12</li>
   <li>Z =3D 24 + 1936 + 484 &#8211;19 + 4 + 31=3D 2460</li>
   <li>Since 2460/7 =3D 351, 2460-7(351) =3D 3</li>
   <li>So I was born on Wednesday</li>
  </ul>
  </font></div>
  </td>
 </tr>
 <tr onmouseover=3D"Over(this)" onmouseout=3D"Out(this)" onclick=3D"Follow(=
this)"
  style=3D'cursor:hand'>
  <td align=3Dright valign=3Dtop>
  <div class=3DsldNum><font size=3D2>30</font></div>
  </td>
  <td>
  <div id=3DPPTP30 class=3DPTxt><font size=3D2><a
  href=3D"javascript:GoToSld('slide0033.htm');" id=3DPPTL30>The Date of Eas=
ter</a></font></div>
  <div id=3DPPTC30 class=3DCTxt style=3D'display:none'><font size=3D2>
  <ul>
   <li>Dominical letters: A, B, C, D, E, F, G</li>
   <li>Found by same rule as your birthday, but use (1, 1, year) to find x<=
/li>
   <li>For x=3D0 it&#8217;s A, x=3D1 it&#8217;s G, x=3D2 it&#8217;s F, &#82=
30;.</li>
   <li>For (1,1,2001), x =3D 1 so 2001 starts on Monday and it&#8217;s Domi=
nical
       letter is G, golden number is 7 and it&#8217;s epact is 5 so Easter =
was
       on April 15<sup>th</sup><span style=3D'mso-spacerun:yes'>&nbsp;
       </span>(see table handed out in class)</li>
  </ul>
  </font></div>
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