Commandino, Federico
,
Liber de centro gravitatis solidorum
,
1565
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& denique punctum h pyramidis abcdef grauitatis eſſe
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centrum, & ita in aliis.</
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2. fexti.</
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">Sit conus, uel coni portio axem habens bd: ſeceturque
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plano per axem, quod ſectionem faciat triangulum abc:
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& bd axis diuidatur in c, ita ut be ipſius ed ſit tripla. </
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">Dico punctum e coni, uel coni portionis, grauitatis
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eſſe centrum. </
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">Si enim fieri poteſt, ſit centrum f: & pro
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ducatur ef extra figuram in g. </
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">quam uero proportionem
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habet ge ad ef, habeat baſis coni, uelconi portionis, hoc
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eſt circulus, uel ellipſis circa diametrum ac ad aliud ſpa
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cium, in quo h. </
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">Itaque in circulo, uel ellipſi plane deſcri
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batur rectilinea figura axlmcnop, ita ut quæ
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portiones ſint minores ſpacio h: & intelligatur pyra
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mis baſim habens rectilineam figuram aKlmcnop, &
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axem bd; cuius quidem grauitatis centrum erit punctum
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e, ut iam demonſtrauimus. </
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">Et quoniam portiones ſunt
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minores ſpacio h, circulus, uel ellipſis ad portiones ma
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iorem proportionem habet, quam ge ad ef. </
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lus, uel ellipſis ad figuram rectilineam ſibi inſcriptam, ita
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conus, uel coni portio ad pyramidem, quæ figuram rectili
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neam pro baſi habet; & altitudinem æqualem: etenim </
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