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

Table of contents

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[71.] COROLL. III.
[72.] COROLL. IV.
[73.] COROLL. V.
[74.] COROLL. VI.
[75.] PROBL. VI. PROP. XX.
[76.] COROLL. I.
[77.] COROLL. II.
[78.] PROBL. VII. PROP. XXI.
[79.] MONITVM.
[80.] THEOR. XII. PROP. XXII.
[81.] PROBL. VIII. PROP. XXIII.
[82.] PROBL. IX. PROP. XXIV.
[83.] PROBL. X. PROP. XXV.
[84.] PROBL. XI. PROP. XXVI.
[85.] SCHOLIVM I.
[86.] SCHOLIVM II.
[87.] PROBL. XII. PROP. XXVII.
[88.] PROBL. XIII. PROP. XXVIII.
[89.] PROBL. XIV. PROP. XXIX.
[90.] PROBL. XV. PROP. XXX.
[91.] PROBL. XVI. PROP. XXXI.
[92.] THEOR. XIII. PROP. XXXII.
[93.] THEOR. IV. PROP. XXXIII.
[94.] MONITVM.
[95.] THEOR. XV. PROP. XXXIV.
[96.] THEOR. XVI. PROP. XXXV.
[97.] THEOR. XVII. PROP. XXXVI.
[98.] COROLL.
[99.] THEOR. XIII. PROP. XXXVII.
[100.] THEOR. XIX. PROP. XXXVIII.
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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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