Valerio, Luca
,
De centro gravitatis solidorvm libri tres
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tatis in puncto B, ſpacia N, R, æquiponderabunt à lon
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gitudinibus AC, CB; eritque vtriuſque plani N, R, ſi
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mul centrum grauitatis C. </
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COROLLARIVM.
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>Hinc manifeſtum eſt ſi cuiuslibet figuræ pla
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næ vtcumque ſectæ centra grauitatis partium
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iungantur recta linea, talem lineam à centro gra
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uitatis totius prædicti plani ita ſecari, vt ſegmen
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ta ex contrario reſpondeant prædictis partibus. </
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PROPOSITIO XVII.
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<
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>Si totum quoduis planum, & pars aliqua non
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habeant idem centrum grauitatis, & eorum cen
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tra iungantur recta linea; in ea producta ad par
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tes centri grauitatis totius, erit reliquæ partis cen
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trum grauitatis. </
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<
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>Sit totum quoduis planum
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ABC, cuius centrum graui
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tatis E, & pars illius AB, cuius
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aliud centrum D, & iuncta
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DE, producatur ad partes E,
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in infinitum vſque in H. </
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<
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>Dico
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reliquæ partis BC, centrum
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grauitatis, quod ſit G, eſse in
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linea EH. </
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<
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G, ſunt centra grauitatis par
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tium AB, BC, cadet totius ABC, centrum grauitatis </
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