Harriot, Thomas, Mss. 6784

List of thumbnails

< >
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)
< >
page |< < (356) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f356" o="356" n="711"/>
          <div type="page_commentary" level="0" n="0">
            <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>
            </p>
          </div>
          <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>
          </p>
        </div>
      </text>
    </echo>
Impressum