Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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ABC, erit DB æqualis BF; </
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conic.</
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GH, ſed eſt DB maior DG ex conſtructione, quare, & </
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GF eò maior GH: </
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<
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<
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ex conſtructione, habebit LB ad BD minorem rationem, quàm MG ad GD,
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& </
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<
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">componendo LD ad DB, ſiue LF ad FB minorem quàm MD ad
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mi conic.</
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ſiue quàm MH ad HG, & </
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">ibidem.</
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MG ad GH, ſed eſt LB æqualis MG, quare BF erit maior GH, & </
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GF maior GH.</
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ctione, habebit LB ad BD minorem rationem, quàm MG ad GD, & </
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dendo LD ad DB ſiue LF ad FB, minorem quàm MD ad DG, vel
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mi conic.</
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MH ad HG, & </
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<
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ad GH, ſed eſt LB æqualis MG, ergo BF maior erit GH, & </
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maior GH.</
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">Itaque cum demonſtratum ſit in qualibet figura eſſe GF maiorem GH,
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punctum H incidet infra F; </
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re FA, quæ contingit ABC, ſi producatur ad partes E, ſecabit ipſam ſectio-
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nem ABC, cum inter ſectionem, & </
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tera recta linea non cadat: </
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mi conic.</
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, vel circulo, perter-
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minos, cuiuſcunque in ipſo applicatæ, MAXIMAM Ellipſim in-
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ſcribere, cuius tranſuerſum latus æquale ſit dato.</
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minus eſſe diametro datæ Ellipſis, ad quam data applicata ordi-
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natim ducitur.</
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<
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