Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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Percuſs.) vires motiuæ tam ligni A, quàm vitri exca
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uati B æquales erunt inter ſe, quia verò à vacuo, ſeù
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à nihilo prædictæ æquales virtutes motiuæ non impe
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diuntur, igitur effectus ab eis dependentes nempè
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velocitates eorum æquales erunt inter ſe. </
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Cap. 10. de
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æquitempo
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ranea natu
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rali veloci
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tate
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grauiũ
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PROP. CCX.
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Idem corpus graue, quam cumque figuram habuerit,
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deſcẽ-det
">deſcen
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det</
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in ſpatio vacuo eadem prorsùs velocitate.
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<
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">SVmatur idem corpus graue, ſcilicèt maſſa ferreą
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vnius libræ v. g. habeat que primò figuram py
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ramidalem, vel conicam cuius vertex in A dum mo
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uetur baſim præcedat, in B verò eius baſis antefera
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tur; poſteà cylindricæ prolixæ longitudinis, & exi
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guæ baſis vt eſt C, vel baſis dilatatæ vt eſt D effor
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metur: tandem eadem maſſa ferrea tornata
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ſphærulã
">ſphærulam</
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,
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E efficiat, vel amplam ſphæram excauatam, aut
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ar-millarẽ
">ar
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millarem</
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F. </
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<
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">Oſtendendum eſt idem graue A, B, C, &c.
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<
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">in vacuo ſemper eadem velocitate deſcendere, ſcili
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cèt æqualibus temporibus æqualia ſpatia
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pertrãſire
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.
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<
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">Quoniam virtus premens grauitatis cauſa eſt eius
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motus deorsùm, porrò motus concipi non poteſt,
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quin aliqua velocitate fiat, ſcilicèt tempore deter
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minato ſpatium certum percurrat, vbi verò vna, &
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eadem cauſa perſeuerat non variata, nec immutata,
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neceſsè eſt vt
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abbr
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idẽ
">idem</
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effectus, deſcenſus nimirùm, nil
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prorsùs variatus alteratuſque ſubſequatur, vt
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nimirũ
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<
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cũ
">cum</
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certa, & determinata velocitate fiat, igitur idem </
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