Harriot, Thomas, Mss. 6785

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                <emph style="bf">Commentary:</emph>
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              <s xml:space="preserve"> The text referred to here is Thomas
                <emph style="it">Geometriae rotundi libri XIIII</emph>
                <ref id="finck_1583"> (Finck </ref>
              , pages 1 to 4. There Finck discusses two propositions of Ptolemy. The second is: </s>
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                <s xml:space="preserve"> 15. Si quatuor rectarum duae faciant angulum, reliquae ab harum terminis in se reflexae priores secent: ratio unius ad segmentum suum, vel segmentorum inter se fit e ratione ita conterminarum, ut prima facientium conterminetur antecedentis factae principio, secunda huius consequentis fini contermina terminetur in finem consequentis factae. Sint enim quatuor rectae ae. ai. eu. io. quarum duae priores faciant angulum ad a. reliquae ab harum terminis reflexae secent se in y. atque duae priores in u & o.
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                Dico primo rationem ia ad au esse factam e ratione io ad oy. & ye ad eu. Qui primus Ptolemaei casus est.
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                Secundo rationem iu ad ua esse factam e ratione iy ad yo. & oe ad ea. Qui secundus est Ptolemaei casus.</s>
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              <s xml:space="preserve"> Finck proves these and notes four further variations given by Theon; these are listed by Harriot as
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          <head xml:space="preserve" xml:lang="lat"> In propositionem ptolomaicum initio
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            <emph style="bf">Translation: </emph>
          On a proposition of Ptolemy, from the beginning of ]</head>
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Impressum