Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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14718DE CENTRO GRAVIT. SOLID. tione 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
unuſquiſque, qui in
figura inſcripta con-
tinetur æqualis eſt ei,
qui ab eodem fit cir-
culo in figura circũ-
ſcripta.
Itaque cylin
drus o p æqualis eſt
cylindro o n;
cylin-
drus r s cylĩdro r q;
cylindrus u x cylin-
dro u t cſt æqualis;

&
alii aliis ſimiliter.
quare conſtat circũ-
ſcriptam figuram ſu-
perare inſcriptam cy
lindro, cuius baſis eſt
circulus circa diametrum a c, &
axis d e. atque hic eſtmi-
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 ſit ſolida magnitudine pro-
poſita.