Ceva, Giovanni
,
Geometria motus
,
1692
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go ſimplicis motus fuiſſet triangulum, imago velocitatum
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accelerationis foret trilineum ſecundum, & ita pro
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portionaliter de infinitis numero accelerationibus. </
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Tab.
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4.
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fig.
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Cor. </
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3.
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pri
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mi.
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Def.
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1.
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huius.
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Def.
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3
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primi.
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Corollarium.
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Hinc obiter habemus, quo pacto imago velocitatum corpo
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rum naturaliter deſcendentium triangulum ſit. </
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libet momento ſui caſus habet graue idem inſe principium̨
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motus, ſeu grauitas, ex qua concipitur imago ſimplicis motus
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ſi nempe priores gradus velocitatis ſubinde deperirent, at
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quia in eius deſcenſu prorſus perſeuerant (id enim ſupponi
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tur abſtrahendo ab aere) inde motus concitatur, & fit vti di
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ximus imago accelerationis triangulum.
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AXIOMA
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">QVælibet linea, vt fluxus puncti concipi po
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teſt. </
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AX. II.
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">VT propoſita linea ex fluxu puncti exarètur, duò tan
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tùm neceſſaria ſunt, ſcilicet motus, & puncti di
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rectio. </
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PROP. V. THEOR. III.
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<
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">REcta, quæ priùs deſcripta eſt, poteſt alijs à primis
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velocitatibus, rurſus exarari. </
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">Nam punctum poteſt fluere ſecundum quamcunque
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rectam, quocunque motu, ergo illam poteſt etiam quibuſ
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cunque velocitatibus affectum rurſus exarare. </
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