Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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dem circa e z diametrum; </
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xml:space
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quæ ſimiles ſint portioni a b l. </
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<
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xml:space
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ſectio per _K_: </
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<
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<
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xml:space
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">quæ ab r ducta eſt perpendicularis ad b d,
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ipſam a e i ſecabit. </
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<
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<
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tur ipſi b d æquidiſtantes p y q, o g n, quæ ſecent a t d in
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f x. </
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a p o l in punctis p o. </
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ergo tres portiones ſint a p o l,
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a e i, a t d, contentæ rectis lineis, & </
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rum ſectionibus; </
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gunt ſe ſe ſuper unamquanque baſim: </
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ſurſum ducta ſit n x g o; </
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g x proportionem compoſitam ex proportione, quam ha
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bet i l ad l a; </
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<
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habet eandem,
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quam duo ad
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quinque. </
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nim c b ad b d
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eſt, ut ſex ad
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quĩdecim; </
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eſt ut duo ad
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quinque: </
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c b ad b d, ita
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e b ad b a: </
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d z ad d a. </
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rum autẽ d z,
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d a duplæ ſunt
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ipſæ l i, l a: </
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a d ad d i eã pro
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portionem habet, quam quinque ad unum. </
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compoſita ex proportione, quam habet duo ad quinque;
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quam habent duo ad unum: </
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proportionem habent. </
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