Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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I.</
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proportionalia, & </
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ijſdem baſibus proportionales.</
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<
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">Hoc eſt ſi ſint duo quælibet plana Acuminata proportionalia A B C, D
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E F, quorum diametri B G, E H cum baſibus A C, D F æquales angulos
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alterum alteri conſtituant, nempe A G B
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ipſi D H E, & </
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reliquo F H E ſit æqualis, ſitque diame-
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ter B G ad baſim A C, vt diameter E H
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ad baſim D F; </
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vocentur SIMILIA ACVMINATA.
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runt ſimilia Acuminata, cum vtraque ex
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duobus proportionalibus Acuminatis con-
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ſtet, ſiue ex dua
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bus ſemi-Ellipſibus, per diametros æqualiter inclinatas diſ-
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ſectis, quarum diametri ſunt baſibus proportionales, &</
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bus circulis, &</
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ACVMINATVM, voco omnem figuram ſolidam ad alteram partem defi-
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cientem, circa planum Acuminatum deſcriptam, cuius omnia plana baſi ſo-
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lidi æquidiſtantia per Acuminati applicatas ducta, ſint quoque plana Acu-
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minata, eidem baſi, ac inter ſe ſimilia, & </
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logæ diametri ſint ipſæ applicatæ prædicti Acuminati, &</
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meter B D, vertex B, & </
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vel cuiuſcun que ipſarum figurarum portionis, aut diameter Parabolæ,
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vel Hyperbolæ, vel cuiuslibet alij plani Acuminati A E C F, quod tan-
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quam baſis, ad quemlibet inclinationis angulum cum plano A B C </
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