Commandino, Federico - Liber de centro gravitatis solidorum

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per 2. pe
titionem

4 Archi
medis.

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

40[Figure 40]

Data enim
qualibet maio
ri portione, quo
niam 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.

THEOREMA XIII. PROPOSITIO XVII.

41[Figure 41]

Cuiuslibet pyramidis trian
gularem baſim habentis gra
uitatis centrum eſt in pun
cto, in quo ipſius axes con
ueniunt.

Sit pyramis, cuius baſis trian
gulum abc, axis de: ſitque trian
guli bdc grauitatis centrum f:
& iungatur a ſ. erit & af axis eiuſ
dem pyramidis ex tertia diffini
tione huius. Itaque quoniam centrum grauitatis eſt in
axe de; eſt autem & in axe af; q̀uod proxime demonſtraui

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