Valerio, Luca, De centro gravitatis solidorum, 1604

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1
PROPOSITIO XXIX.
Si ſphæra, vel ſphæroides vnà cum cylindro,
vel portione cylindrica ipſi circumſcripta ſecetur
plano, haud per centrum, baſibus ſolidi circum­
ſcripti parallelo; reliqui ex cylindro, vel portio­
ne cylindrica ad maioris portionis ſphæræ, vel
ſphæroidis partes abſciſſa, dempta ſphæræ, vel
ſphæroidis maiori portione, centrum grauita­
tis eſt punctum illud, in quo dicti reliqui ſolidi
axis ſegmentum inter duas quartas partes extre­
mas ſegmentorum eiuſdem axis, quæ à centro
ſphæræ, vel ſphæroidis fiunt interiectum, ſic diui­
ditur, vt pars propinquior baſi ſit ad reliquam, vt
prædictorum, quæ à centro fiunt axis ſegmento­
rum maioris cubus ad cubum minoris.
173[Figure 173]
Sit ſphæræ, vel ſphæ­
roidi ABCD cuius cen­
trum E, circumſcriptus
cylindrus, vel portio cy­
lindrica FGHK, cum
quibus planum per axim
communem BED, fa­
ciat ſectiones, parallelo­
grammum per axim FG
HK, & circulum, vel el­
lipſim ABCD: quas fi­
guras vnà cum dictis ſo­
lidis ſecans planum baſibus ſolidi circumſcripti paralle-

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