Full text: Archimedes: Archimedis De iis qvae vehvntvr in aqva libri dvo

Ex demonſtratis perſpicue apparet, portioni
ſphæræ uel ſphæroidis, quæ dimidia maior eſt, cẽ
trum grauitatis in axe conſiſtere.

Data enim
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.

81.1.

0155-01

82. THE OREMA XIII. PROPOSITIO XVII.

Cuiuslibet pyramidis triã
gularem baſim habẽtis gra
uitatis centrum eſt in pun-
cto, in quo ipſius axes con-
ueniunt.

82.1.

0155-02

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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