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

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[51.] COROLL. III.
Page: 49 (29)
[52.] THEOR. VI. PROP. XIV.
Page: 49 (29)
[53.] COROLLARIVM.
Page: 50 (30)
[54.] THEOR. VII. PROP. XV.
Page: 51 (31)
[55.] THEOR. VIII. PROP. XVI.
Page: 52 (32)
[56.] THEOR. IX. PROP. XVII.
Page: 55 (35)
[57.] MONITVM.
Page: 55 (35)
[58.] THEOR. X. PROP. XVIII.
Page: 55 (35)
[59.] Definitiones Secundæ. I.
Page: 56 (36)
[60.] II.
Page: 56 (36)
[61.] III.
Page: 57 (37)
[62.] IV.
Page: 57 (37)
[63.] V.
Page: 57 (37)
[64.] VI.
Page: 57 (37)
[65.] VII.
Page: 57 (37)
[66.] VIII.
Page: 58 (38)
[67.] IX.
Page: 58 (38)
[68.] THEOR. XI. PROP. XIX.
Page: 58 (38)
[69.] COROLL. I.
Page: 64 (40)
[70.] COROLL. II.
Page: 64 (40)
[71.] COROLL. III.
Page: 64 (40)
[72.] COROLL. IV.
Page: 65 (41)
[73.] COROLL. V.
Page: 65 (41)
[74.] COROLL. VI.
Page: 65 (41)
[75.] PROBL. VI. PROP. XX.
Page: 66 (42)
[76.] COROLL. I.
Page: 67 (43)
[77.] COROLL. II.
Page: 68 (44)
[78.] PROBL. VII. PROP. XXI.
Page: 68 (44)
[79.] MONITVM.
Page: 69 (45)
[80.] THEOR. XII. PROP. XXII.
Page: 70 (46)
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7046
THEOR. XII. PROP. XXII.
MAXIMA coni-ſectionum coni-ſectioni per verticem inſcripti-
bilium cum recto datæ ſectionis, eſt quoq; MAXIMA ſibi ſimilium,
eidem ſectioni per verticem inſcriptarum. Et è contra.
MINIMA coni-ſectionum coni-ſectioni per verticem circum-
ſcriptibilium cum recto datæ ſectionis, eſt quoque MINIMA ſibi
ſimilium, eidem ſectioni circumſcriptarum.
SIt quælibet coni-ſectio ABC, cuius diameter BR, rectum BF, & regula
GFI, ipſique inſcripta ſit per verticem B, cum recto BF coni-ſectio DB
E, quæ erit _MAXIMA_ inſcriptarum (per ea quę in præcedentibus oſtenſum
40[Figure 40] fuit) ſitq; huius regula HF. Patet has regulas infra contingentem BF in totum
eſſe inter ſe diſiunctas, cum ſit altera ſectio alteri inſcripta. Iam dico hanc
_MAXIMAM_ ſectionem eſſe quoq; _MAXIMAM_ ſibi ſimilium, eidem datæ ſe-
ctioni per B verticem inſcriptarum.

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