Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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<
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">Cùm
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dicis eodem tempore,
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hoc eſt
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primo,
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vnde quæſo
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aſſumis? </
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<
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">Nam in Aſſumptione quidem non
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<
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diſtinxeras vtrius velocitatis reſpectu idem,
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aut æquale acciperes, & procliue fuit, vt
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acciperes reſpectu duplæ, cui reſponderent
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duo tempora, ſiue, vt expreſſi, aggregatum
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temporum duorum, vnde & ſubſumendum
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fuit. </
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Si primo tempore AD, ſpatium PM per
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curratur à velocitate ſubdupla, futurum vt toto
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tempore AE
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(ſiue duobus temporibus, aut aggregato
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duorum)
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percurratur spatium PN ſpatij PM duplum.
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<
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">Quo caſu rursùs addo futurum, vt non modò du
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plum, ſed etiam quadruplum percurratur. </
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Sicque eodem tempore ab eodem mobili percurretur totum
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spatium PN, & eius dimidium PM, quod eſt impoßibile,
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niſi motus fieret in inſtanti.
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Eodem,
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hoc eſt,
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primo,
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nullatenus ſequitur;
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eodem,
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id
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eſt,
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aggregato
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duorum, ita vt totum ſpatium PN per
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curratur duobus, & dimidium PM illorum primo, ſe
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quitur quidem, ſed addendum, percurri inſuper alia
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duo ſpatia: quæ duo aliis iuncta, motu, qui fiat ſuc
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ceſſiue, non in
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abbr
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">inſtanti</
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, percurrantur. </
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<
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id
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">Enimverò, vt Sub
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ſumptum tuo ſenſu probes, & te perinde, atque me,
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mutatis ſo ùm terminis, ratiocinari planum facias, hiſ
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ce verbis proſequeris. </
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Nam, vt modo ratiocinandi tuo etiam vtar, ſumpto quo
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piam alio ſpatio
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RO,
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spatio
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PM
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æquali; concipiantur duo
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mobilia, quorum vnum per
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PN
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eodem momento moueri in
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cipiat velocitate dupla, quo alterum per
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RO
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type
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deſcendit velo-
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