Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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">HInc, data ratione maioris inæqualitatis, hoc eſt D E, ad E H, & </
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differentia A C inter duo s terminos ignotos A G, G C, qui de-
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beant eſſe in data ratione, eruitur quomodo reperiantur ipſi termini A G,
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G C. </
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">Facta enim fuit vt D H differentia primorum, ad H E minorem ter-
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minum, ita data differentia A C, ad aliam C G, & </
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termini A G, G C, Nam ſtatim oſtenſum fuit eſſe A G ad G C, vt D E
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ad E H.</
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">Si fuerit in angulo rectilineo quælibet applicata, à qua hinc
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inde ab eius termino æqualia ſegmenta ſint abſciſſa, & </
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num diuiſionis punctum deſcribatur Hyperbole, cuius aſympto-
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ti ſint latera dati anguli, ipſa per alterum punctum neceſſariò
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tranſibit.</
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">SIt in angulo A B C applicata quæcunque A C, quæ inæqualiter ſece-
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tur in D, & </
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ſcribatur Hyperbole, cuius aſymptoti ſint B A, B C, ipſam omnino tran-
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ſire per E.</
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">Quod huiuſmodi Hyper-
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bole tranſiens per D, alibi
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ſecet applicatam A C, pa-
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tet. </
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ret in D, eſſet A C æquali-
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ter ſecta in D: </
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di conic.</
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contra hypoteſim. </
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go in F; </
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lis A D, ſed eſt quoque E
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C eidem A D ęqualis, qua-
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re F C, E C ęquales erunt;
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cum ipſo E; </
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bole D F, quæ in angulo aſymptotali A B C deſcribitur per D, omnino
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tranſit per E. </
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