Harriot, Thomas, Mss. 6785

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691
691 (346) 		692
692 (346v)
693
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694 (347v)
695
695 (348) 		696
696 (348v)
697
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698 (349v)
699
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700 (350v)
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page |< < (362) of 882 > >|
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          <pb file="add_6785_f362" o="362" n="723"/>
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          <p xml:lang="lat">
            <s xml:space="preserve"> Sphæram solidam bisecare
              <lb/>
            secundum datum
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            To bisect a solid sphere in a given ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Sit,
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mi>c</mi>
                </mstyle>
              </math>
            , subtendens in circulo
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
              <lb/>
            et subtendet duos areas.
              <lb/>
            Tertiæ partis utrinque arcus
              <lb/>
            subtend: erit
              <math>
                <mstyle>
                  <mo>=</mo>
                  <mi>a</mi>
                </mstyle>
              </math>
            .
              <lb/>
            sed minoris arcus
              <math>
                <mstyle>
                  <mo>=</mo>
                  <mi>h</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Let
              <math>
                <mstyle>
                  <mi>d</mi>
                  <mo>-</mo>
                  <mi>c</mi>
                </mstyle>
              </math>
            be a chord in circle
              <math>
                <mstyle>
                  <mi>a</mi>
                  <mi>b</mi>
                  <mi>c</mi>
                  <mi>f</mi>
                </mstyle>
              </math>
            , and it subtends two areas. A third part of either arc will therefore subtend an arc equal to
              <math>
                <mstyle>
                  <mi>a</mi>
                </mstyle>
              </math>
            , but the smaller arc will be
              <math>
                <mstyle>
                  <mi>h</mi>
                  <mi>e</mi>
                </mstyle>
              </math>
            . </s>
          </p>
        </div>
      </text>
    </echo>
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