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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