<s xml:space="preserve">
Across the top of the page are the terms of a geometric progression with multiplier
<math>
<mstyle>
<mfrac>
<mrow>
<mi>a</mi>
</mrow>
<mrow>
<mi>b</mi>
</mrow>
</mfrac>
</mstyle>
</math>
. </s>
<lb/>
<s xml:space="preserve">
The rest of the page contains a table of successive squares of the number that may be interpreted as
<math>
<mstyle>
<mo>.</mo>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>8</mn>
<mn>8</mn>
<mn>7</mn>
<mn>7</mn>
</mstyle>
</math>
. Selected powers are then added to give
<math>
<mstyle>
<mo>.</mo>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>9</mn>
<mn>8</mn>
<mn>8</mn>
<mn>7</mn>
<mrow>
<msup>
<mn>7</mn>
<mrow>
<mn>2</mn>
<mn>5</mn>
<mn>9</mn>
<mn>2</mn>
<mn>0</mn>
<mn>0</mn>
<mn>0</mn>
<mn>0</mn>
</mrow>
</msup>
</mrow>
</mstyle>
</math>
. A calculation on the following page, Add MS 6782
<ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuViewSB?url=/mpiwg/online/permanent/library/HSPGZ0AE&start=20&viewMode=image&pn=25">
f. </ref>
, shows that
<math>
<mstyle>
<mn>2</mn>
<mn>5</mn>
<mn>9</mn>
<mn>2</mn>
<mn>0</mn>
<mn>0</mn>
<mn>0</mn>
<mn>0</mn>
<mo>=</mo>
<mn>2</mn>
<mo>×</mo>
<mn>6</mn>
<mrow>
<msup>
<mn>0</mn>
<mn>4</mn>
</msup>
</mrow>
</mstyle>
</math>
, that is, the number of half-fifths of a degree in a minute (where a degree is subdivided in the traditional way into minutes, seconds, thirds, fourths, and fifths by successive divisions by 60). </s>
<lb/>
<s xml:space="preserve">
The entries in the table are calculated in the subsequent pages labelled c.2 to c.7;
<ref target="http://echo.mpiwg-berlin.mpg.de/content/scientific_revolution/harriot/maps/7.2.4.2_series_a_to_f.pt">
'Spirals, series </ref>
. </s>
<s xml:space="preserve">]</s>
</p>
</div>
<head xml:space="preserve"/>
<p>
<s xml:space="preserve">
<math>
<mstyle>
<mo>=</mo>
<mi>a</mi>
<mi>m</mi>
</mstyle>
</math>
in charta
<lb/>
<lb/>
[
<emph style="bf">Commentary: </emph>
Sheet ca.1 is HMC MS 240.v
<ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/mpiwg/online/permanent/library/928CQY8W/pageimg&start=30&viewMode=image&pn=37&mode=imagepath">
f. 419
</ref>
