Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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AB, ſeu ipſi æqualrs DE in ſex: ſintque primùm
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duo mobilia, quorum vnum diſcedat ex A
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verſus C, eodem momento, quo aliud ex D
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verſus E. </
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ferretur non accelerato, ſed æquabili motu,
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euenturum eſſe, vt velocitate illius exſiſtente
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dupla ad velocitatem iſtius, illud perueniret
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in C eodem momento, quo iſtud in E; quo
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niam ſpatium ab illo ſuperatum foret vbi
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que ad ſpatium ab iſto ſuperatum duplum, hoc eſt,
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forent ab illo ſuperatæ duæ partes, cùm ab iſto vna;
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ab illo quatuor, cùm ab hoc duæ, &c. </
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tia ſe haberent vbique vt velocitates, hoc eſt veloci
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tas per totam AC eſſet vbique dupla velocitatis per
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totam DE. </
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">At verò, quoniam heic agitur de motu
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non æquabili, ſed continenter accelerato; ita deſcen
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dant rurſus mobilia eodem tempore, vnum ab A,
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aliud à D, vt ſuccrefcentibus continuò velocitatis gra
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dibus, illud perueniendo in C acquiſierit duodecim,
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hoc perueniendo in E ſex: Quæſo quid impediat,
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quo minùs illud perueniat in C eodem tempore, quo
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iſtud in E? </
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tum acceleratum, & æquabilem, quòd in æquabili
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partes ſpatiorum æquales percurrantur æqualibus
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temporibus, vt ſingulæ partes lineæ DE ſingulis mi
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nutis, & geminæ partes lineæ AC minutis item ſin
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gulis; in accelerato non item: At in eo tamen motus
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conueniunt, quòd vbique velocitas per totam AC
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dupla ſit velocitatis per totam DE; & qua ratione
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plures, plureſque ex ſingulis partibus lineæ DE </
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