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

Table of contents

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[21.] COROLL.
[22.] MONITVM.
[23.] PROBL. I. PROP. II.
[24.] ALITER.
[25.] ALITER.
[26.] MONITVM.
[27.] LEMMAI. PROP. III.
[28.] PROBL. II. PROP. IV.
[29.] MONITVM.
[30.] PROBL. III. PROP. V.
[31.] PROBL. IV. PROP. VI.
[32.] PROBL. V. PROP. VII.
[33.] MONITVM.
[34.] THEOR. II. PROP. VIII.
[35.] MONITVM.
[36.] LEMMA II. PROP. IX.
[37.] THEOR. III. PROP. X.
[38.] COROLL. I.
[39.] COROLL. II.
[40.] MONITVM.
[41.] THEOR. IV. PROP. XI.
[42.] COROLL.
[43.] MONITVM.
[44.] LEMMA III. PROP. XII.
[45.] ALITER idem breuiùs.
[46.] ITER VM aliter breuiùs, ſed negatiuè.
[47.] COROLL.
[48.] THEOR. V. PROP. XIII.
[49.] COROLL. I.
[50.] COROLL. II.
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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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