Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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vtcunque eleuatum, concipiaturque Acu-
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minatum A B C moueri motu ſibi ipſi pa-
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rallelo, ſed ita vt recta B D æquidiſtanter
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incedat ſuper parallelogrammum B E, do-
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nec congruat cum oppoſito latere E F.
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<
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xml:space
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& </
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<
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">congruentibus Acuminatis A B C, G F
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H, atque à ſuperficie, quæ à perimetro A
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B C A in ſua latione deſcribitur, vocetur
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CYLINDRICVS, Acuminatum verò A B C eius BASIS, & </
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grammum B E CANON DIAMETRALIS prædicti Cylindrici, cuius
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altitudo metietur per rectam ad vtrunque oppoſitorum planorum perpen-
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dicularem.</
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<
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<
s
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xml:space
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">Itaque CYLINDRICVS dicetur omne ſolidum circa parallelogrãmum
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quodcunque deſcriptum, & </
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">cuius omnia plana baſi ſolidi æquidiſtantia, ac
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per applicatas in parallelogrammo ducta, ſint plana Acuminata, eidem
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baſi, ac inter ſe æqualia, & </
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diametri ſint ipſæ applicatæ in prædicto parallelogrammo; </
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DIAMETRALIS Cylindrici vocabitur.</
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definitiones, cum hoc loco de ijs ſermo minimè habendus ſit.</
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longum, vel prolatum plano ſecetur ex dato ſolido portionem
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abſcindent: </
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ad baſim abſciſſæ portionis ſit erectum. </
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quod conuexam ſolidæ portionis ſnperficiem contingat.</
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<
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">ESto quodcunque ex prædictis ſolidis A B C, cuius axis reuolutionis ſit
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B D, atque ex eo per planum E H G I ſit abſciſſa portio ſolida E F G,
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cuius baſis E H G I (quæ, vel erit Ellipſis, vel circulus.) </
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15. Arch.
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de Conoi.
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eſſe baſi E H G I planum ducere per ſolidi axem B D, quod ad baſim E H
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G I rectum ſit. </
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ducere, quod ſolidæ portionis ſuperficiem contingat.</
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<
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">Si enim planum ſecans E I G fuerit ad axem B D erectum, hunc ſecans
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in K, ſectio circulus erit, cuius centrum K; </
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chim. ib.
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à Comãd.
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reſtit.</
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quodcunque planum E B G baſim portionis E H G I ſecans per rectam E
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G, ſectionis portio plana E B G erit ea, quæ ſolidum genuit, cuius
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eadem E G, axis verò ipſe B K, & </
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primò, &</
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