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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Scan	Original
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67	43
68	44
69	45
70	46
71	47
72	48
73	49
74	50
75	51
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78	54
79	55
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85	61
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89	65
90	66

Scan	Original
61
62
63	39
64	40
65	41
66	42
67	43
68	44
69	45
70	46
71	47
72	48
73	49
74	50
75	51
76	52
77	53
78	54
79	55
80	56
81	57
82	58
83	59
84	60
85	61
86	62
87	63
88	64
89	65
90	66