Valerio, Luca
,
De centro gravitatis solidorum
,
1604
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do EDF, altera ſolido ABC inſcripta. </
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>hac igitur abla
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ta ex ſolido AF, figura relinquetur ex reſiduis cylindro
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rum, vel cylindri portionum altitudine, & multitudine
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æqualibus ijs cylindris, vel cylindri portionibus, ex quibus
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conſtat alterutra figurarum ſolidis ABC, DEF circum
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ſcriptarum: eruntque ex ſuperius demonſtratis dicta reſi
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dua, & cylindri vel cylindri portiones, quæ circa ſolidum
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EDF, inter ſe æqualia proutinter ſe reſpondent inter ea
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dem plana parallela, vt eſt exempli gratia reliquum ſoli
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di AN dempto ſolido SR, æquale ſolido TP: & ſic de
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inceps: ſummus autem XF cylindrus, vel portio cylindrica
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eſt communis: Atqui bina hæc iam dicta ſolida centrum
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grauitatis habent commune communis bipartiti axis ſectio
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nem in eadem recta linea BD, in qua eſt etiam ſolidi XF
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communis centrum grauitatis. </
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>duarum igitur dictarum figu
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rarum ſolido EDF, & prædicto reſiduo circumſcriptarum
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idem aliquod punctum in axe BD erit commune centrum
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grauitatis: ſieri autem poteſts quod in ſecundo libro demon
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ſtrauimus, vt duæ dictæ figuræ ſuperent vnaquæ que ſibi in
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ſcriptam minori ſpacio quantacumque magnitudine pro
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poſita. </
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>ex demonſtratis igitur in primo libro; duo ſolida cir
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ca axem BD in alteram partem deficientia commune ha
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bebunt in axe BD centrum grauitatis: ſed ſolidi, ideſt co-</
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