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

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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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78	54
79	55
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