Harriot, Thomas, Mss. 6785

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The reference on this page is to
                <emph style="it">Variorum responsorum liber VIII</emph>
              , Chapter XVIII, Proposition 2
                <ref id="Viete_1593d" target="http://www.e-rara.ch/zut/content/pageview/2684269"> (Viete 1593d, Chapter 18, Prop </ref>
              . </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Propositio II.
                  <lb/>
                Si eidem circulo inscribantur polygona ordinata in & numerus laterum primi fit ad numerum laterum secundi subduplus, ad numerum vero laterum tertii subquadruplus, quarti suboctuplus, quinti subdexdecuplus,& ea deinceps continua ratione subdupla. </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> If in the same circle there are inscribed polygons ordered indefinitely, and the number of sides of the first is half the number of sides of the second, and a quarter the number of sides of the third, and an eighth of the fourth, and a sixteenth of the fifth, and so on continually halving. ...</s>
              </quote>
              <lb/>
              <s xml:space="preserve"> There are also references to Euclid's
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI14.html"/>
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookXI/propXI34.html"/>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI14.html"/>
                Equal parallograms which have an angle in each equal, have the sides about the equal angles reciprocally proportional. </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookXI/propXI34.html"/>
                In equal parallelepipedal solids the bases are reciprocally proportional to the heights; and those parallelepipedal solids in which the bases are reciporcally proportional to the heights are equal. </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> Responsorum. pag. 30 prop. 2.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Responsorum, page 30, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Apotome lateris
              <lb/>
            Diameter circuli
              <lb/>
            polygon
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Apotome of the side
              <lb/>
            Diameter of the circle
              <lb/>
            the polygon ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Est igitur per 14.p.6.l. vel
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore by Elements VI.14 or ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Est igitur per
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore by Elements ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Est sic de
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And so on for the ]</s>
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