Harriot, Thomas, Mss. 6782

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page |< < (3) of 1011 > >|
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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> A geometric progression beginning from
                <math>
                  <mstyle>
                    <mn>9</mn>
                    <mo>.</mo>
                    <mn>9</mn>
                    <mn>8</mn>
                    <mn>8</mn>
                    <mn>7</mn>
                    <mn>6</mn>
                    <mn>3</mn>
                    <mo>.</mo>
                    <mo>.</mo>
                    <mo>.</mo>
                  </mstyle>
                </math>
              with multiplier
                <math>
                  <mstyle>
                    <mfrac>
                      <mrow>
                        <mn>1</mn>
                      </mrow>
                      <mrow>
                        <mo>.</mo>
                        <mn>9</mn>
                        <mn>9</mn>
                        <mn>9</mn>
                        <mn>7</mn>
                        <mn>1</mn>
                        <mn>8</mn>
                        <mo>.</mo>
                        <mo>.</mo>
                        <mo>.</mo>
                      </mrow>
                    </mfrac>
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                </math>
              . It appears that Harriot has begun the calculations from the top of the table and worked downwards, and that rounding error has led him to
                <math>
                  <mstyle>
                    <mn>9</mn>
                    <mo>.</mo>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
                    <mn>9</mn>
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                    <mn>3</mn>
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              as the fifth entry rather than
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                    <mn>1</mn>
                    <mn>0</mn>
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              as he would have </s>
              <lb/>
              <s xml:space="preserve"> To the right, he has calculated first, second, third, and fourth </s>
              <s xml:space="preserve">]</s>
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