Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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A D. </
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Ellipſis portio A M C eſt _MAXIMA_ inſcripta cum dato recto C L.
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<
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">SIt verò data Ellipſis portio AMCD, cuius tranſuerſum CH, rectum C L, re-
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gula LH, baſis A D, & </
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Ellipſis portionem circumſcribere, cum dato tranſuerſo C F, quod minus ſit
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verſo CH datæ portionis, maius verò eius diametro C E.</
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<
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LH in I, & </
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G, & </
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adſcribatur per C Ellipſis portio A B C D,
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item per A, & </
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circumſcripta, quàm dico eſſe _MINIMAM_. </
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libet enim adſcripta Ellipſis cum eodem tranſuerſo
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C F, ſed cum recto, quod maius ſit ipſo C G, eſt
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maior eadem ABCD; </
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roll. 19. h.</
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minus ſit CG eſt quidem minor eadem A B C,
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vel tota cadit intra datam AMCD, tum, cum rectũ
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idem fuerit cum recto CL, aut ipſo minus; </
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tem ſecat portionem AMC ſupra baſim AD, quan-
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do nempe illius rectum cadat inter C L, & </
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quale eſt C O, nam iuncta regula O F, omnino ſe-
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cat regulam L H ſupra eandem applicatam A D.
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_NIMA_ cir cumſcripta cum dato tranſuerſo CF. </
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<
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<
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dato recto C G, quod tamen ſuperet rectum C L.</
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tranſuerſo C F, datoque recto C G adſcribatur per C, Elliptica portio
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quæ pariter per A, & </
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roll. 19. h.</
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dico hanc eſſe _MINIMAM_ quæſitam.</
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uerſo, quod excedat versũ CF eſt maior ipſa ABCD, quæ verò cum trãſuerſo, quod minus ſit ipſo CF, quale eſt CR, eſt quidem minor eadem A B C D, ſed
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omnino ſecat portionem AMCD ſupra baſim A D cum & </
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roll. 19. h.</
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cet datæ portionis regulam L I ſupra eandem baſim AD. </
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ABCD eſt _MINIMA_ circumſcripta cum dato recto CG. </
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mi - applicatas ſunt ſemper ſimul recedentes, & </
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ueniunt maius quolibet dato interuallo.</
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<
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ſit maior, atq; </
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Conic.</
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omnino in vno tantùm puncto cum ſectione cõueniet, à quo ſi agatur </
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