Harriot, Thomas, Mss. 6782

List of thumbnails

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161 (81) 		162
162 (81v)
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166 (83v)
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170 (85v)
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            <p>
              <s xml:space="preserve">[
                <emph style="bf">Commentary:</emph>
              </s>
            </p>
            <p>
              <s xml:space="preserve"> On this folio the orders discovered on the previous sheet (Add MS
                <ref target="http://echo.mpiwg-berlin.mpg.de/ECHOdocuView?url=/permanent/library/HSPGZ0AE&start=160&viewMode=image&pn=169"> f. </ref>
              ) are listed systematically. Each new order begins with the second triple from the previous order, with the first two entries interchanged.
                <lb/>
              At the bottom of the page, Harriot notes the starting differences for each order.
                <lb/>
              He has also written the enigmatic </s>
              <lb/>
              <quote xml:lang="lat">
                <s xml:space="preserve"> Hic sunt omnes primi sed hic omnes non sunt </s>
              </quote>
              <lb/>
              <s xml:space="preserve"> which was greatly to confuse his friend Nathaniel Torporley when he came across it some years later.
                <lb/>
              For discussion of this and the surrounding sheets
                <ref id="tanner_1977"> (Tanner </ref>
              . </s>
              <s xml:space="preserve">]</s>
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          <p xml:lang="lat">
            <s xml:space="preserve"/>
          </p>
          <p>
            <s xml:space="preserve"> 1)
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            order ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Et sic in cæteribus in
              <lb/>
            [
              <emph style="bf">Translation: </emph>
            And so on for the rest ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Hic sunt omnes primi
              <lb/>
            sed hic omnes non sunt
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            [
              <emph style="bf">Translation: </emph>
            Here are all the primes but here not all are ]</s>
          </p>
          <p xml:lang="lat">
            <s xml:space="preserve"> Nota
              <lb/>
            prima Differentia ordinis
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            primi. 2. 4. sub dupla.
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            Secundi. 4. 12. tripla
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            Tertij. 6. 12. Dupla
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            Quarti. 8. 24. tripla
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            Quinti. 10. 20. Dupla
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            Sexti. 12. 36. tripla
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            Septimi. 14. 28. Dupla
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            Octavi. 16. 48. tripla
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            &c in
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            [
              <emph style="bf">Translation: </emph>
            Note
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            First differences of the order
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            First double
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            Second triple
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            Third double
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            Fourth triple
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            Fifth double
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            Sixth triple
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            Seventh double
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            Eighth triple
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            etc. ]</s>
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