Harriot, Thomas, Mss. 6784

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page |< < (401v) of 862 > >|
    <echo version="1.0RC">
      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f401v" o="401v" n="802"/>
          <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"> Here Harriot solves the equation
                <math>
                  <mstyle>
                    <mn>2</mn>
                    <mn>5</mn>
                    <mo>=</mo>
                    <mn>6</mn>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>a</mi>
                    <mi>a</mi>
                  </mstyle>
                </math>
              (in modern notation,
                <math>
                  <mstyle>
                    <mn>2</mn>
                    <mn>5</mn>
                    <mo>=</mo>
                    <mn>6</mn>
                    <mi>x</mi>
                    <mo>-</mo>
                    <mrow>
                      <msup>
                        <mi>x</mi>
                        <mn>2</mn>
                      </msup>
                    </mrow>
                  </mstyle>
                </math>
              ) for the roots
                <math>
                  <mstyle>
                    <mn>3</mn>
                    <mo>+</mo>
                    <msqrt>
                      <mrow>
                        <mo>-</mo>
                        <mn>1</mn>
                      </mrow>
                    </msqrt>
                  </mstyle>
                </math>
              and
                <math>
                  <mstyle>
                    <mn>3</mn>
                    <mo>-</mo>
                    <msqrt>
                      <mrow>
                        <mo>-</mo>
                        <mn>1</mn>
                      </mrow>
                    </msqrt>
                  </mstyle>
                </math>
              . He then checks by multiplication that these values do indeed satisfy the equation. </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
        </div>
      </text>
    </echo>
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