Commandino, Federico - Liber de centro gravitatis solidorum

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1tione quarta Apollonius demonſtrauit. Si igitur à ſingu
lis horum circulorum, duo cylindri fiant; unus quidem ad
baſis partes; alter ad partes uerticis: inſcripta erit in co
no ſolida quædam figura, & altera circumſcripta ex cylin
dris æqualem altitudinem habentibus conſtans; quorum

32[Figure 32]
unuſquiſque, qui in
figura inſcripta con
tinetur æqualis eſt ei,
qui ab eodem fit cir
culo in figura circum
ſcripta. Itaque cylin
drus op æqualis eſt
cylindro on; cylin
drus rs cylindro rq.
cylindrus ux cylin
dro ut eſt æqualis;
& alii aliis ſimiliter.
quare conſtat circum
ſcriptam figuram ſu
perare inſcriptam cy
lindro, cuius baſis eſt
circulus circa diametrum ac, & axis de. atque hic eſt mi
nor ſolida magnitudine propoſita.

PROBLEMA III. PROPOSITIO XII.

DATA coni portione, poteſt ſolida quædam
figura inſcribi, & altera circumſcribi ex cylindri
portionibus æqualem altitudinem habentibus;
ita ut circumſcripta inſcriptam exuperet, magni
tudine, quæ minor fit ſolida magnitudine pro
poſita.

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