Harriot, Thomas, Mss. 6787

List of thumbnails

< >
601
601 (301v)
602
602 (302)
603
603 (302v)
604
604 (303)
605
605 (303v)
606
606 (304)
607
607 (304v)
608
608 (305)
609
609 (305v)
610
610 (306)
< >
page |< < (365) of 1155 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6787_f365" o="365" n="728"/>
          <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"> The inclusion of a page number confirms that Harriot was using Commandino's edition of
                <emph style="it">Apollonii Pergaei conicorum libri quattuor</emph>
                <ref id="apollonius_1566"> (Apollonius </ref>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve"> I.41 If in a hyperbola or ellipse or circumference of a circle a straight line is dropped as ordinate to the diameter, and if equiangular parallelograms are described both on the ordinate and on the radius, and if the ordinate side has to the remaining side of the figure the ratio compounded of the ratio of the radius to the remaining side of its figure, and the ratio of the upright side of the section's figure to the transverse, then the figure on the straight line between the centre and the ordinate, similar to the figure on the radius, is in the case of the hyperbola greater than the figure on the ordinate by the figure on the radius, and, in the case of the ellipse and circumference of a circle, together with the figure on the ordinate is equal to the figure on the </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> pag: 29. b.
            <lb/>
          Appol. pro:
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          page 29v, Apollonius, Proposition ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            ordinata
              <lb/>
            et parallelogramma
              <lb/>
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            et
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let
              <math>
                <mstyle>
                  <mi>c</mi>
                  <mi>d</mi>
                </mstyle>
              </math>
            be an ordinate, and parallelograms
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mi>g</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            equiangular. </s>
            <lb/>
            <s xml:space="preserve"> composita
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            composed ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Dico quod: in
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            I say that, in a ]</s>
            <lb/>
            <s xml:space="preserve"> In ellipsi et
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            In an ellipse and ]</s>
          </p>
        </div>
      </text>
    </echo>