Borelli, Giovanni Alfonso
,
De motionibus naturalibus a gravitate pendentibus
,
1670
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De vi per
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cuſs. </
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axio. 1. eiuſ
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que corolla
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rio.</
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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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.</
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PROP. CCVIII.
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Quælibet corpora homogenea inter ſe inæqualia ex ſui natu
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ra æquè velocia ſunt.
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<
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">SInt duo quælibet corpora homogenea A, & B,
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quorum A maius ſit quàm B; dico æquali veloci
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tate deſcendere, ablatis
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tamẽ
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omnibus impedimentis. </
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<
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">Si
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enim hoc verum non eſt ma
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ius corpus A
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abbr
="
deſcẽdet
">deſcendet</
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cele
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riùs, vel tardiùs, quàm B; &
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primò ſi fieri poteſt, maius
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corpus A celeriori motu fe
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ratur, ſcilicèt eodem tempo
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re T, percurrat A maius ſpa
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tium C, verùm B pertranſeat
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ſpatium minus E; ſumatur aliud corpus G homoge
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neum ipſi A, vel B, quod maius ſit ipſo A, ſed com
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menſurabilem proportionem habeat ipſi B, ſcilicèt
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eius partes ſit. </
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<
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id
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">erunt igitur (ex præced. prop.) cor
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pora G, & B æquè velocia, ſcilicèt eodem tempore
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T corpus G percurret idipſum ſpatium E, quod per
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tranſierat corpus B; eſt verò G maius, quàm A, & ei
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homogeneum, ergo maius corpus G tardiori motu
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deſcendit, quàm corpus minus A, ſcilicèt eodem
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abbr
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tẽ-pore
">ten
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pore</
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T corpus maius G pertranſit minus ſpatium E,
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atque A percurrit ſpatium maius G, quod eſt contra
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hypotheſim, debebat enim maius corpus celeriori </
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