Harriot, Thomas, Mss. 6785

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page |< < (91v) of 882 > >|
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> This page contains some rough work on Proposition 16 from
                <emph style="it">Effectionum geometricarum canonica recensio</emph>
                <ref id="Viete_1593b" target="http://www.e-rara.ch/zut/content/pageview/2684104"> (Viète 1593b, Prop </ref>
              . </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Data prima trium proportionalium, & ea cujus quadratum æquale est adgregato quadratorum secundæ & tertiæ, dantur secunda & </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Given the first of three proportionals and that quantity whose square is equal to the sum of the squares of the second and third, the second and third are given.</s>
              </quote>
              <lb/>
              <s xml:space="preserve"> Harriot's diagram is a partial copy of </s>
              <s xml:space="preserve">]</s>
            </p>
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          <head xml:space="preserve" xml:lang="lat"> In 16. p.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          From page 16 of the ]</head>
          <p xml:lang="">
            <s xml:space="preserve"> Proportionales. Etiam
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Proportionals. Also ]</s>
          </p>
          <p xml:lang="">
            <s xml:space="preserve">
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            est differentia inter
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            &
              <math>
                <mstyle>
                  <mi>E</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            .
              <lb/>
            et
              <math>
                <mstyle>
                  <mi>G</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            est media proportinonalis data.
              <lb/>
            Hoc est:
              <lb/>
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            est prima proportionalis, et
              <math>
                <mstyle>
                  <mi>G</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            ea cuius quadratum est
              <lb/>
            æquale adgregatum quadratorum
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>G</mi>
                </mstyle>
              </math>
            et
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            .
              <lb/>
            Ita ut ista proportio per interpretationem est vale cum 12
              <emph style="super">a</emph>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Proportionals. Also ]</s>
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Impressum