Archimedes
,
Archimedis De iis qvae vehvntvr in aqva libri dvo
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At cum e f ſit ſexta pars axis
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ſphæræ, crit d e tripla e f. </
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punctum e eſt grauitatis cen-
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trum ipſius pyramidis: </
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in uigeſima ſecunda huius de-
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monſtratum fuit. </
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<
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trum ſphæræ. </
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<
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xml:space
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">Sequitur igitur,
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ut centrum grauitatis pyrami-
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dis in ſphæra deſcriptæ idem
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ſit, quod ipſius ſphæræ cen-
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trum.</
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<
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<
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">oppoſitorum pla-
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norum lateribus bifariam diuiſis, per puncta diuiſionum
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plana ducantur, ut communis ipſorum ſectio ſit recta li-
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nea c d. </
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<
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">Itaque ſi ducatur a b, ſolidi ſcilicet diameter, lineæ
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a b, c d ex trigeſimanona undecimi ſeſe bifariam ſecabunt.
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</
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<
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e centrũ grauitatis ſolidi a b,
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id quod demonſtratum eſt in
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octaua huius. </
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eſt ſphæræ diametro æqualis,
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ut in decima quinta propoſi-
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tione tertii decimi libri elemẽ
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torum oſtenditur: </
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<
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ſphæræ quoque centrum erit.
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</
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<
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pti grauitatis centrum idem
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eſt, quod centrum ipſius ſphæræ.</
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<
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xml:space
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">Sit octahedrum a b c d e f, in ſphæra deſcriptum, cuius
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ſphæræ centrum ſit g. </
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grauitatis centrum eſſe. </
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<
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">Conſtat enim ex iis, quæ demon-
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ſtrata ſunt à Campano in quinto decimo libro elemento-
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rum, propoſitione ſextadecima eiuſimodi ſolidum diuidi
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in duas pyramides æquales, & </
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