Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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FED. COMMANDINI
teſt in portione, quæ recta linea & obtuſianguli coni ſe-
ctione, ſeu hyperbola continetur.

THE OREMA IIII. PROPOSITIO IIII.

In circulo & ellipſiidem eſt figuræ & graui-
tatis centrum.
SIT circulus, uel ellipſis, cuius centrum a. Dico a gra-
uitatis quoque centrum eſſe.
Si enim fieri poteſt, ſit b cen-
trum grauitatis:
& iuncta a b extra figuram in c produca
tur:
quam uero proportionem habetlinea c a ad a b, ha-
beat circulus a ad alium circulum, in quo d;
uel ellipſis ad
aliam ellipſim:
& in circulo, uel ellipſi ſigura rectilinea pla-
ne deſcribatur adeo, ut tandem relinquantur portiones
quædam minores circulo, uel ellipſid;
quæ figura ſit e f g
h _k_ l m n.
Illud uero in circulo fieri poſſe ex duodecimo
elementorum libro, propoſitione ſecunda manifeſte con-
ſtat;
at in ellipſi nos demonſtra-
Figure: /permanent/library/4E7V2WGH/figures/0122-01 not scanned
[Figure 78]
uinius in commentariis in quin-
tam propoſitionem Archimedis
de conoidibus, &
ſphæroidibus.
erit igitur a centrum grauitatis
ipſius figuræ, quod proxime oſtē
dimus.
Itaque quoniam circulus
a ad circulum d;
uel ellipſis a ad
ellipſim d eandem proportionē
habet, quam linea c a ad a b:

portiones uero ſunt minores cir
8. quinti.culo uel ellipſi d:
habebit circu-
lus, uel ellipſis ad portiones ma-
iorem proportionem, quàm c a
19. quinti
apud Cã
panum.
ad a b:
& diuidendo figura recti-
linea e f g h _k_ l m n ad portiones

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