Casati, Paolo
,
Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
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[Figure 31]
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lùm pars vicies millies milleſima grauitatis
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totius AB.
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S
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ecundi autem vectis DF gra
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uitas percipitur in M ſecundùm partem ſui
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bis millies milleſimam. </
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<
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>Tertius ſecundùm
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partem ducenties milleſimam; & ſic dein
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ceps, donec vltimus MR grauitet in M ſe
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cundùm ſuæ grauitatis ſemiſſem. </
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>Hinc eſt
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quod quamuis primus vectis AB valdè craſ
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ſus eſſe deberet, atque adeò grauis, vt pon
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dus valeret ſuſtinere, conſequentes tameņ
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vectes minores, ac minores, quod ad craſſi
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tudinem ſpectat, requirerentur: ac proinde
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eorum momenta in M ſimul ſumpta noņ
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eſſent adeò multa. </
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>Ponamus itaque facoma
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te in N exiſtente fieri æquilibrium cum ve
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ctibus horizonti parallelis. </
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>His ita conſtitutis dimittantur vectes, vt
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ferè quantùm poſſunt deſcendant: & in Gad
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nectatur pondus. </
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>Vel fortaſſe opportunius
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erit, ſi BF habeat in B annulum, cui inſeri
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poſsit extremum vectis AB; vectis enim ex
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annulo extractus ſolus deprimitur, quantum
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poteſt, & pondere in C adnexo, aliâ machi
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nâ tractoriâ tantiſper eleuatur, dum poſsit
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iterum annulo B inſeri. </
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>Niſi fortè commo
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dius alicui accidat ita machinam conſtruere,
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vt iacens pondus illi adnectatur, deinde ma
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china ipſa æqualiter eleuetur, vnde fiat vt </
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