Archimedes, Archimedis De iis qvae vehvntvr in aqva libri dvo

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[151. Figure]
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DE CENTRO GRAVIT. SOLID.
Ex demonſtratis perſpicue apparet, portioni
ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
trum grauitatis in axe conſiſtere.
Data enim
Figure: /permanent/library/4E7V2WGH/figures/0155-01 not scanned
[Figure 108]
qualibet maio
ri portiõe, quo
niã totius ſphæ
ræ, uel ſphæroi
dis grauitatis
centrum eſt in
axe;
eſt autem
&
in axe cen-
trum portio-
nis minoris:
reliquæ portionis uidelicet maioris centrum in axe neceſ-
ſario conſiſtet.

THE OREMA XIII. PROPOSITIO XVII.

Cuiuslibet pyramidis triã
Figure: /permanent/library/4E7V2WGH/figures/0155-02 not scanned
[Figure 109]
gularem baſim habẽtis gra
uitatis centrum eſt in pun-
cto, in quo ipſius axes con-
ueniunt.
Sit pyramis, cuius baſis trian
gulum a b c, axis d e:
ſitq; trian
guli b d c grauitatis centrum f:
& iungatur a f. erit & a faxis eiuſ
dem pyramidis ex tertia diffini-
tione huius.
Itaque quoniam centrum grauitatis eſt in
axe d e;
eſt autem & in axe a f; quod proxime demonſtraui

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