Commandino, Federico, Liber de centro gravitatis solidorum, 1565

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1
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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