Harriot, Thomas, Mss. 6782

List of thumbnails

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161
161 (81)
162
162 (81v)
163
163 (82)
164
164 (82v)
165
165 (83)
166
166 (83v)
167
167 (84)
168
168 (84v)
169
169 (85)
170
170 (85v)
< >
page |< < (81v) of 1011 > >|
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      <text xml:lang="eng" type="free">
        <div type="bundle" level="1" n="1">
          <pb file="add_6782_f081v" o="81v" n="162"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> This folio shows many examples of fifth-degree polynomials, as represented by their coefficients, evaluated for
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>2</mn>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>3</mn>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>5</mn>
                  </mstyle>
                </math>
              . At top left, for example, the polynomial
                <math>
                  <mstyle>
                    <mn>3</mn>
                    <mn>0</mn>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mn>2</mn>
                    <mn>3</mn>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mn>5</mn>
                    <mn>2</mn>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mn>1</mn>
                    <mn>3</mn>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                  </mstyle>
                </math>
              is evaluated for
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>2</mn>
                  </mstyle>
                </math>
              , giving 840. </s>
              <s xml:space="preserve">]</s>
            </p>
          </div>
        </div>
      </text>
    </echo>