Harriot, Thomas, Mss. 6782

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page |< < (55) of 1011 > >|
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> For the definition of binomes of the third kind, see Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/HSPGZ0AE&start=530&viewMode=image&pn=533"> f. </ref>
              .
                <lb/>
              On this page, Harriot shows that the cube of a binome of the third kind is again a binome of the third </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
          <head xml:space="preserve" xml:lang="lat"> De cubo binomij 3
            <emph style="super">i</emph>
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          On the cube of a third ]</head>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <reg norm="binomij" type="abbr">bin</reg>
            .
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a binome of the third ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve">
              <reg norm="binomij" type="abbr">bin</reg>
            .
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            a binome of the first ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Ergo cubus:
              <math>
                <mstyle>
                  <msqrt>
                    <mrow>
                      <mn>5</mn>
                      <mn>4</mn>
                      <mn>0</mn>
                      <mn>8</mn>
                    </mrow>
                  </msqrt>
                  <mo>+</mo>
                  <msqrt>
                    <mrow>
                      <mn>5</mn>
                      <mn>4</mn>
                      <mn>0</mn>
                      <mn>0</mn>
                    </mrow>
                  </msqrt>
                </mstyle>
              </math>
            .
              <reg norm="binomij" type="abbr">bin</reg>
            .
              <reg norm="differentia" type="abbr">diff</reg>
              <reg norm="quadrati" type="abbr">quad</reg>
            :
              <lb/>
            8.
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            Therefore the cube
              <math>
                <mstyle>
                  <msqrt>
                    <mrow>
                      <mn>5</mn>
                      <mn>4</mn>
                      <mn>0</mn>
                      <mn>8</mn>
                    </mrow>
                  </msqrt>
                  <mo>+</mo>
                  <msqrt>
                    <mrow>
                      <mn>5</mn>
                      <mn>4</mn>
                      <mn>0</mn>
                      <mn>0</mn>
                    </mrow>
                  </msqrt>
                </mstyle>
              </math>
            is a binome of the third kind; the difference of the squares
              <lb/>
            is 8, a </s>
            <lb/>
          </p>
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    </echo>
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