Viviani, Vincenzo - De maximis et minimis, geometrica divinatio : in qvintvm Conicorvm Apollonii Pergaei

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244 natim ductę DE ęquidiſtans. Patet hic ipfam FL ſectionem contingere in L, F
per 17. primi conic. (quæ huic aptè præponi poterat, cum ipſa, ope tan-
tum præcedentium ſeptimæ, & decimæ eiuſdem Librl demonſtretur). Su-
matur præterea in ſectione quodlibet punctum M, per quod agatur MN
æquidiſtans ipſi DE, vel FL, & producta conueniat in prima figura cum LV
parallela ad FG, in reliquis verò cum iuncta HL in X; & per L, X ipſi F N
æquidiſtantes ducantur LO, XP. Dico lineam MN poſſe rectangulum ſub
FN, & NO, quod quidem adiacet lineæ quarto loco inuentæ FL, latitudinẽ
habens FN in prima figura, in ſecunda verò prædictum rectangulum exce-
dens, & in tertia, & quarta ab eo deficiens rectangulo ſub LO, & OX ſimili
ei, quod ſub HF, & FL continetur.

3[Figure 3]

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