Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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PROPOSITIO XXIX.
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>Si ſphæra, vel ſphæroides vnà cum cylindro,
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vel portione cylindrica ipſi circumſcripta ſecetur
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plano, haud per centrum, baſibus ſolidi circum
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ſcripti parallelo; reliqui ex cylindro, vel portio
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ne cylindrica ad maioris portionis ſphæræ, vel
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ſphæroidis partes abſciſſa, dempta ſphæræ, vel
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ſphæroidis maiori portione, centrum grauita
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tis eſt punctum illud, in quo dicti reliqui ſolidi
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axis ſegmentum inter duas quartas partes extre
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mas ſegmentorum eiuſdem axis, quæ à centro
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ſphæræ, vel ſphæroidis fiunt interiectum, ſic diui
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ditur, vt pars propinquior baſi ſit ad reliquam, vt
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prædictorum, quæ à centro fiunt axis ſegmento
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rum maioris cubus ad cubum minoris. </
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<
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>Sit ſphæræ, vel ſphæ
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roidi ABCD cuius cen
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trum E, circumſcriptus
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cylindrus, vel portio cy
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lindrica FGHK, cum
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quibus planum per axim
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communem BED, fa
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ciat ſectiones, parallelo
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grammum per axim FG
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HK, & circulum, vel el
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lipſim ABCD: quas fi
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guras vnà cum dictis ſo
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lidis ſecans planum baſibus ſolidi circumſcripti paralle-</
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