Harriot, Thomas, Mss. 6784

List of thumbnails

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611
611 (306) 		612
612 (306v)
613
613 (307) 		614
614 (307v)
615
615 (308) 		616
616 (308v)
617
617 (309) 		618
618 (309v)
619
619 (310) 		620
620 (310v)
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page |< < (358) of 862 > >|
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          <pb file="add_6784_f358" o="358" n="715"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> On this page Harriot examines Proposition VII from
                <emph style="it">Supplementum geometriæ</emph>
                <ref id="Viete_1593c" target="http://www.e-rara.ch/zut/content/pageview/2684114"> (Viète 1593c, Prop </ref>
              . </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Propositio VII.
                  <lb/>
                Data è tribus propositis lineis rectis proportionalibus & ea cujus quadratum æquale fit ei quo differt quadratum compositae ex secunda & tertia à quadrato compositæ ex secunda & prima, invenire secundam & tertiam </s>
              </quote>
              <lb/>
              <quote>
                <s xml:space="preserve"> Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve"> prop. 7.
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Proposition 7 of the ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Data e tribus propositis lineis rectis proportionalibus prima et ea
              <lb/>
            cujus quadratum aequale fit ei quo differt quadratum compositae ex
              <lb/>
            secunda et tertia a quadrato compositæ ex secunda et prima: invenire
              <lb/>
            secundam et tertiam
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Given the first of three proposed proportional straight lines, and another whose square is equal to the difference between the square of the sum of the second and third, and the square of the sum of the second and first, find the second and third ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Data prima
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
              <lb/>
            Et recta
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            The first given line
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            and the straight line
              <math>
                <mstyle>
                  <mi>B</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Tum tres proportionales
              <lb/>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Then the three proportionals will ]</s>
          </p>
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