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

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150126 ABC, erit DB æqualis BF; cumque AH contingat AGC erit DG 1135. pri.
conic
.
GH, ſed eſt DB maior DG ex conſtructione, quare, &
BF erit maior GH, &
GF
maior GH:
quod memento.
22ibidem.
Præterea, in ſecunda figura, cum ſit LB, æqualis MG, & BD maior GD,
ex
conſtructione, habebit LB ad BD minorem rationem, quàm MG ad GD,
&
componendo LD ad DB, ſiue LF ad FB minorem quàm MD ad 3336. pri-
mi
conic.
ſiue quàm MH ad HG, &
iterum componendo LB ad BF, minorem 44ibidem. MG ad GH, ſed eſt LB æqualis MG, quare BF erit maior GH, & magis
GF
maior GH.
117[Figure 117]
Intertia denique, cum ſit LB æqualis MG, & DB maior DG, ex conſtru-
ctione
, habebit LB ad BD minorem rationem, quàm MG ad GD, &
diui-
dendo
LD ad DB ſiue LF ad FB, minorem quàm MD ad DG, vel 5536. pri-
mi
conic.
MH ad HG, &
diuidendo iterum, LB ad BF minorem rationem, quàm MG
66ibidem. ad GH, ſed eſt LB æqualis MG, ergo BF maior erit GH, &
magis GF
maior
GH.
7732. pri-
mi
conic.

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