Harriot, Thomas, Mss. 6784

List of thumbnails

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601
601 (301) 		602
602 (301v)
603
603 (302) 		604
604 (302v)
605
605 (303) 		606
606 (303v)
607
607 (304) 		608
608 (304v)
609
609 (305) 		610
610 (305v)
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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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