Harriot, Thomas, Mss. 6787

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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> Further work on Proposition 14 from Chapter XIX of
                <emph style="it">Variorum responsorum liber VIII</emph>
                <ref id="Viete_1593d" target="http://www.e-rara.ch/zut/content/pageview/2684276"> (Viete 1593d, Chapter 19, Prop </ref>
              , continued from Add MS 6787
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/MAH52R5E&start=450&viewMode=image&pn=452"> f. </ref>
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/MAH52R5E&start=450&viewMode=image&pn=454"> f. </ref>
              . </s>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve"> Vieta. lib. 8. resp. pag. 35. prop. 14.
            <foreign xml:lang="gre">proch?on</foreign>
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Viète, Responsorum liber VIII, page 35, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Habita maxima differentia
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            et eius sinu
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>P</mi>
                </mstyle>
              </math>
            : sinus arcus
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            ,
              <lb/>
            hoc est linea
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>Q</mi>
                </mstyle>
              </math>
            ita invenietur.
              <lb/>
            […]
              <lb/>
            Ergo nota
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>M</mi>
                </mstyle>
              </math>
              <lb/>
            […]
              <lb/>
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>Q</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Having the maximum difference
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            and its sine
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>P</mi>
                </mstyle>
              </math>
            , then the sine of the arc
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            , that is, the line
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>Q</mi>
                </mstyle>
              </math>
            is found thus.
              <lb/>
              <lb/>
            Therefore note
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>M</mi>
                </mstyle>
              </math>
              <lb/>
              <lb/>
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>Q</mi>
                </mstyle>
              </math>
            , the line sought </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> vel ita Brevius
              <lb/>
            In triangulo
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            , cum etiam datur angulus
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            ,
              <lb/>
            per doctrinam triangulorum dabitur
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            et
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In the triangle
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            , since the angle
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            is also given, by the teaching on triangles there will be given
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            . </s>
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