Harriot, Thomas, Mss. 6784

List of thumbnails

< >
721
721 (361)
722
722 (361v)
723
723 (362)
724
724 (362v)
725
725 (363)
726
726 (363v)
727
727 (364)
728
728 (364v)
729
729 (365)
730
730 (365v)
< >
page |< < (423) of 862 > >|
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              <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>
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