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"> This page contains a symbolic version of Euclid,
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookII/propII11.html"/>
              . Harriot observes that this is the same as Proposition
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI30.html"/>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookII/propII11.html"/>
                To cut a given straight line so that the rectangle contained by the whole and one of the segments equals the square on the remaining segment. </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookVI/propVI30.html"/>
                To cut a given finite straight line in extreme and mean ratio. </s>
              </quote>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> c) propositiones 2
            <emph style="super">i</emph>
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Propositions from the second book of ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> 11.p) est etiam : e.6 p.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Proposition 11 is also Proposition ]</s>
            <lb/>
            <s xml:space="preserve"> Data
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
              <lb/>
            Facere
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>.</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>=</mo>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mo>.</mo>
                  <mi>H</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            (hoc est
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mo>,</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>:</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>,</mo>
                  <mi>H</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            ut e,6. p.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            , make
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>.</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>=</mo>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mo>.</mo>
                  <mi>H</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            . (that is,
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                  <mo>:</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>=</mo>
                  <mi>A</mi>
                  <mi>H</mi>
                  <mo>:</mo>
                  <mi>H</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            as in Proposition VI.30.) </s>
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              <lb/>
            [
              <emph style="bf">Translation: </emph>
            ]</s>
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Impressum