Harriot, Thomas, Mss. 6784

List of thumbnails

< >
741
741 (371) 		742
742 (371v)
743
743 (372) 		744
744 (372v)
745
745 (373) 		746
746 (373v)
747
747 (374) 		748
748 (374v)
749
749 (375) 		750
750 (375v)
< >
page |< < (423) of 862 > >|
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      <text xml:lang="eng" type="free">
        <div type="section" level="1" n="1">
          <pb file="add_6784_f423" o="423" n="845"/>
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> The polynomial
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mn>3</mn>
                    <mi>a</mi>
                    <mi>b</mi>
                    <mi>b</mi>
                  </mstyle>
                </math>
              evaluated for
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mi>b</mi>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>2</mn>
                    <mi>b</mi>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>3</mn>
                    <mi>b</mi>
                  </mstyle>
                </math>
              , ... ,
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>7</mn>
                    <mi>b</mi>
                  </mstyle>
                </math>
              . The resulting coefficients of
                <math>
                  <mstyle>
                    <mi>b</mi>
                    <mi>b</mi>
                    <mi>b</mi>
                  </mstyle>
                </math>
              are listed in the table at the bottom of the page. Columns to the right list successive differences as far as the constant difference 6. The table has also been extrapolated upwards, giving rise to negative values in the first three columns. There is an error in the first column, however, which reading upwards should be: 322, 110, 52, 18, 2, - 2, 0, 2, .... </s>
              <s xml:space="preserve">]</s>
            </p>
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    </echo>
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