Harriot, Thomas, Mss. 6785

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> This page refers to Proposition 21 from Book I of Apollonius, as edited by Commandino
                <emph style="it">Conicorum libri quattuor</emph>
                <ref id="apollonius_1566"> (Apollonius </ref>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve"> I.21 If in a hyperbola or ellipse or circumference of a circle straight lines are dropped as ordinates to the diameter, the square on them will be to the areas contained by the straight lines cut off by them beginning from the ends of the transverse side of the figure, as the upright side of the figure is to the transverse, and to each other as the areas contained by the straight lines cut off, as we have </s>
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              <s xml:space="preserve">]</s>
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            <s xml:space="preserve"> Ergo:
              <lb/>
            per: 21, p.
              <lb/>
            1. lib.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore, by Proposition 21 of Book I of ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <math>
                <mstyle>
                  <mi>o</mi>
                  <mi>m</mi>
                </mstyle>
              </math>
            cum sit parallela lineæ
              <lb/>
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            est ordinatim applicata
              <lb/>
            ad diametrum
              <math>
                <mstyle>
                  <mi>e</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            ; et punctum
              <lb/>
              <math>
                <mstyle>
                  <mi>m</mi>
                </mstyle>
              </math>
            est in elipsi.
              <lb/>
            Quod demonstrare
              <lb/>
            [
              <emph style="bf">Translation: </emph>
              <math>
                <mstyle>
                  <mi>o</mi>
                  <mi>m</mi>
                </mstyle>
              </math>
            , since it is parallel to the line
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            is an ordinate to the diameter
              <math>
                <mstyle>
                  <mi>e</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            ; and the point
              <math>
                <mstyle>
                  <mi>m</mi>
                </mstyle>
              </math>
            is on the ellipse.
              <lb/>
            Which was to be ]</s>
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