Harriot, Thomas, Mss. 6787

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              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
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            <p>
              <s xml:space="preserve"> Calculations on a general series with constant third difference
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              .
                <lb/>
              The third, second, and first rows begin with
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              ,
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              ,
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              respectively.
                <lb/>
              The series 10, 15, 23, ... is used as an example, thus
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                    <mi>y</mi>
                    <mo>=</mo>
                    <mn>1</mn>
                    <mn>0</mn>
                  </mstyle>
                </math>
              ,
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                  <mstyle>
                    <mi>o</mi>
                    <mo>=</mo>
                    <mn>5</mn>
                  </mstyle>
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              ,
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                  <mstyle>
                    <mi>e</mi>
                    <mo>=</mo>
                    <mn>3</mn>
                  </mstyle>
                </math>
              ,
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                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mn>2</mn>
                  </mstyle>
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              .
                <lb/>
                <math>
                  <mstyle>
                    <mi>b</mi>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>c</mi>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mi>d</mi>
                  </mstyle>
                </math>
              ,
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                    <mi>f</mi>
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              denote successive sums of terms, taken two at a time.
                <lb/>
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              <s xml:space="preserve">]</s>
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          <head xml:space="preserve" xml:lang="lat"> 9) Differentiæ differentiarum differentiarum
            <lb/>
          [
            <emph style="bf">Translation: </emph>
          Differences of differences of differences of ]</head>
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