Harriot, Thomas, Mss. 6784

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page |< < (292) of 862 > >|
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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f292" o="292" n="583"/>
          <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"> This page contains a reference to
                <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookIV/propIV1.html"/>
              from Euclid's
                <emph style="it">Elements</emph>
              . </s>
              <lb/>
              <quote>
                <s xml:space="preserve">
                  <ref target="http://aleph0.clarku.edu/~djoyce/java/elements/bookIV/propIV1.html"/>
                Into a given circle to fit a straight line equal to a given straight line which is not greater than the diameter of the circle. </s>
              </quote>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> De
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit circulus
              <math>
                <mstyle>
                  <mi>C</mi>
                  <mi>E</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            datis. et puncta
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            extra
              <lb/>
            circulum. Ducere rectam linea a puncto
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
              <lb/>
            ad
              <math>
                <mstyle>
                  <mi>E</mi>
                </mstyle>
              </math>
            , ut
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            sit æqualis
              <math>
                <mstyle>
                  <mi>H</mi>
                </mstyle>
              </math>
            . oportet ut
              <math>
                <mstyle>
                  <mi>H</mi>
                </mstyle>
              </math>
            sit
              <lb/>
            minor
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let there be a circle
              <math>
                <mstyle>
                  <mi>C</mi>
                  <mi>E</mi>
                  <mi>B</mi>
                </mstyle>
              </math>
            , and a point
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            outside the circle. Draw a straight line from the point
              <math>
                <mstyle>
                  <mi>A</mi>
                </mstyle>
              </math>
            to
              <math>
                <mstyle>
                  <mi>E</mi>
                </mstyle>
              </math>
            so that
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            is equal to
              <math>
                <mstyle>
                  <mi>H</mi>
                </mstyle>
              </math>
            . It is necessary that
              <math>
                <mstyle>
                  <mi>H</mi>
                </mstyle>
              </math>
            is less than the diameter. </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit factum: Et:
              <lb/>
            Ducatur
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            contingens quæ vocatur
              <math>
                <mstyle>
                  <mi>c</mi>
                </mstyle>
              </math>
              <lb/>
            et sit
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>D</mi>
                </mstyle>
              </math>
            ,
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            : et
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>E</mi>
                </mstyle>
              </math>
            ,
              <math>
                <mstyle>
                  <mi>b</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let it be done. And draw the tangent
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>C</mi>
                </mstyle>
              </math>
            , which is called
              <math>
                <mstyle>
                  <mi>c</mi>
                </mstyle>
              </math>
            . and let
              <math>
                <mstyle>
                  <mi>A</mi>
                  <mi>D</mi>
                  <mo>=</mo>
                  <mi>a</mi>
                </mstyle>
              </math>
            and
              <math>
                <mstyle>
                  <mi>D</mi>
                  <mi>E</mi>
                  <mo>=</mo>
                  <mi>b</mi>
                </mstyle>
              </math>
            . </s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> referenda a hac prop. ad 1.4
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            This proposition is to be referred to Elements ]</s>
          </p>
        </div>
      </text>
    </echo>
Impressum