Harriot, Thomas, Mss. 6787

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731
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735
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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> The reference to Pappus is to Commandino's edition of Books III to
                <emph style="it">Mathematicae collectiones</emph>
                <ref id="pappus_1588"> (Pappus </ref>
              . The proposition on pages 320v–321 is Proposition 14. </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Problema X. Propositio XIV.
                  <lb/>
                Facile autem est inuentis quibuscumque coniugationibus diametrorum ellipsis, axes cuius organice inuenire. quod quidem hac ratione fiet.</s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Moreover, having found any conjugates of the diamters of the ellipse, it is easy to find the axes mechancially, which indeed are in this ratio.</s>
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              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> pappus. 321
            <lb/>
          Datæ, coniugatæ elypseos
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          diametri
            <math>
              <mstyle>
                <mi>a</mi>
                <mi>b</mi>
              </mstyle>
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          ,
            <math>
              <mstyle>
                <mi>c</mi>
                <mi>d</mi>
              </mstyle>
            </math>
          .
            <lb/>
          Quæruntur
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          [
            <emph style="bf">Translation: </emph>
          Pappus, page 321.
            <lb/>
          Given conjugate ellipses with diameters
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                <mi>a</mi>
                <mi>b</mi>
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          ,
            <math>
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                <mi>c</mi>
                <mi>d</mi>
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          , there are sought the axes. </head>
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