Harriot, Thomas, Mss. 6782

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                <emph style="bf">Commentary:</emph>
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            <p>
              <s xml:space="preserve"> This set of pages, lettered
                <emph style="it">aa</emph>
              to
                <emph style="it">au</emph>
              is connected to Harriot's treatise 'De generatione aequationum canonicarum' in Add MS 6783
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=360&viewMode=image&pn=365"> f. </ref>
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=320&viewMode=image&pn=325"> f. </ref>
              .
                <lb/>
              On this first page, Harriot works out the
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>c</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>c</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>c</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>b</mi>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>b</mi>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              ,
                <math>
                  <mstyle>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mi>a</mi>
                    <mo>+</mo>
                    <mi>b</mi>
                    <mi>b</mi>
                    <mo maxsize="1">)</mo>
                    <mo maxsize="1">(</mo>
                    <mi>a</mi>
                    <mo>-</mo>
                    <mi>d</mi>
                    <mo maxsize="1">)</mo>
                  </mstyle>
                </math>
              . In each case he writes down the values of
                <math>
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                    <mi>a</mi>
                  </mstyle>
                </math>
              that reduce the resulting product to zero. For the second multiplication, for instance, he shows that the product becomes zero when
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mi>b</mi>
                  </mstyle>
                </math>
              and
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mi>c</mi>
                  </mstyle>
                </math>
              but not when
                <math>
                  <mstyle>
                    <mi>a</mi>
                    <mo>=</mo>
                    <mi>d</mi>
                  </mstyle>
                </math>
              .
                <lb/>
              For similar content see Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=360&viewMode=image&pn=363"> f. </ref>
              (d.2),
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=360&viewMode=image&pn=361"> f. </ref>
              (d.3),
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=350&viewMode=image&pn=359"> f. </ref>
              (d.4), and
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/VWXURW4V&start=350&viewMode=image&pn=355"> f. </ref>
              (d.6). </s>
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