Harriot, Thomas, Mss. 6784

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> The problem pursued in this and many other folios in Add MS 6784 is 'the cutting-off of an area', as set out in Pappus,
                <emph style="it">Mathematicae collectiones</emph>
                <ref id="pappus_1588"> (Pappus </ref>
              , Book 7. For a statement of the problem see Add MS 6784
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/XT0KZ8QC/&start=30&viewMode=image&pn=37"> f. </ref>
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          <head xml:space="preserve" xml:lang="lat"> pag. 10.
            <lb/>
          propositio. 2. de resectione
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Proposition 2, on the cutting off of an ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> pappus
              <lb/>
            p. 135
              <lb/>
            </s>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Determinatio.
              <lb/>
            oportet
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            sit æqualis
              <lb/>
            vel maioris
              <math>
                <mstyle>
                  <mn>2</mn>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            vel
              <math>
                <mstyle>
                  <mi>b</mi>
                </mstyle>
              </math>
            maioris quam
              <math>
                <mstyle>
                  <mn>2</mn>
                  <mi>d</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Determination.
              <lb/>
            It is required that
              <math>
                <mstyle>
                  <mi>b</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            is equal to or greater than
              <math>
                <mstyle>
                  <mn>2</mn>
                  <mi>d</mi>
                  <mi>c</mi>
                </mstyle>
              </math>
            , or
              <math>
                <mstyle>
                  <mi>b</mi>
                </mstyle>
              </math>
            is greater than
              <math>
                <mstyle>
                  <mn>2</mn>
                  <mi>d</mi>
                </mstyle>
              </math>
            . </s>
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