Viviani, Vincenzo
,
De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei
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ſunt, quæ aut mentem noſtram, aut Amanuenſis, quamuis accura-
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tiſsimi, oculum effugerant: </
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<
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addere liceat.</
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<
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">Quapropter huiuſmodi Parabolæ iuxta has interceptas lineas diametro B
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E parallelas, ſunt ſemper inter ſe ęquidiſtantes, licet iuxta intercepta appli-
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catarum ſegmenta A E, I D, L M, & </
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per ſimul accedentes, nunquam verò coeuntes.</
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COROLL. II.</
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ſcriptas, & </
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gis accedentes, & </
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rum ſegmenta A E, S D, X Y, in præcedentibus figuris huiuſmodi Hyper-
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bolæ ſemper fiunt propiores, licet nunquam ſimul conueniant; </
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<
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">iuxta autem
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rectas B E, M D, Z Y, ad eaſdem partes A S, E D, perpetuam ſeruant ęqui-
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diſtantiam, cum ipſæ B E, M D, Z Y inter ſe æquales ſint oſtenſæ, &</
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quartæ monuimus.</
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Aliter idem, ac Vniuerſaliùs.</
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ſucceſſiuè ſe mutuò contingentes, ſunt inter ſe in ratione quadra-
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torum, diſparium numerorum ab vnitate incipientium.</
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quodlibet diametri ſegmentum B F ſit ipſi Parabolæ per verticem E
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inicripta _MAXIMA_ Ellipſis B F (quę erit illa, cuius rectum latus idem
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ac rectum B E) & </
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F I æquali ipſi F B, ducatur diagonalis G I L, ex L applicetur L M </
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