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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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> On this page Harriot examines a particular case arising from Proposition VII of
                <emph style="it">Supplementum geometriæ</emph>
                <ref id="Viete_1593c" target="http://www.e-rara.ch/zut/content/pageview/2684114"> (Viète 1593c, Prop </ref>
              , when the fourth proportional is twice the first. </s>
              <s xml:space="preserve">]</s>
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          <head xml:space="preserve"> prop. 7. Supplementi de
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Proposition 7 of the Supplement, on a ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sint 4
              <emph style="super">or</emph>
            proportionales
              <lb/>
            in specie.
              <lb/>
            Si quarta sit dupla ad prima, erit:
              <lb/>
            […]
              <lb/>
            Ergo quatuor proportionales
              <lb/>
            quarum extremæ sunt in
              <lb/>
            ratione dupla
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be 4 proportionals in general form.
              <lb/>
            If the fourth is twice the firs, then:
              <lb/>
              <lb/>
            Therefore the four proportionals whose extremes are in double ratio will ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Tunc fac […] et nota quadratorum differentiam.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Then make [the square of the first and second and the square of the third and fourth], and note the difference of the </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Differentia quadratorum
              <math>
                <mstyle>
                  <mn>3</mn>
                  <mo>,</mo>
                  <mi>b</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
              <lb/>
            Hoc est triplum quadratum primæ
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            The difference of the squares is
              <math>
                <mstyle>
                  <mn>3</mn>
                  <mi>b</mi>
                  <mi>b</mi>
                </mstyle>
              </math>
            .
              <lb/>
            This is three times the square of the first ]</s>
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