Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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KLMN abſciſſum ijſdem planis, quibus por
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tio, & ſphæræ ſemidiameter ſit EHGS: & po
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ſita T tripla ipſius ES, & V ipſius EG tri
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pla, eſto vt V ad T ita T ad XZ: & vt GE
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ad EH ita EH ad
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, & ſit ZY, ipſius XZ,
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æqualis tribus GE, EH,
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, vt ſit exceſſus
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XY: & ſecto axe GH bifariam in puncto I, in
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linea GI, ſumatur O, centrum grauitatis fru
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ſti KLMN: Et vt
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X ad XZ, ita fiat IO
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ad OIP. </
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>Dico portionis ABCD centrum
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grauitatis eſſe P. </
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>Nam circa axim GH pla
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nis baſium portionis interceptus ſtet cylin
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drus QR, cuius baſis ſit æqualis circulo ma
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ximo. </
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>Quoniam igitur eſt vt YX ad XZ,
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hoc eſt vt IO ad OP, ita portio ABCD
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ad cylindrum QR, & diuidendo vt OI ad
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IP, ita portio ABCD ad reliquum cylindri
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QR: & I eſt cylindri QR, & O prædicti
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reſidui centrum grauitatis; erit reliquæ por
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tionis ABCD centrum grauitatis P. </
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<
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ſtrandum erat. </
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