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

100[Figure 100] 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.

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Scan	Original
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25	7
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27	8
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35	12
36
37	13
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