Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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61
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quarta parte eiuſdem temporis percurreretur; ſicque deſcen
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ſus per totam DE minutis
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(2 1/3)
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abſolueretur.
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<
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verò id quoque neceſſe non ſit, exſiſtente ſemper
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eadem ratione dimidiorum ad dimidia, quæ toto
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rum ad tota? </
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<
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">At
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paullò antè,
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inquis,
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ſuppoſuimus ean
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dem partem non niſi tribus minutis decurri.
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</
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<
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id
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"> Id verò ſanè
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non ſuppoſuiſti, vt aliquid gratis conceſſum; ſed vt
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aliquid neceſſariò cum tuis principiis cohærens.
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<
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">Quare & fit quidem, vt euincas rem eſſe impoſſibi
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lem, percurri partem DE dimidio eius temporis, quo
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percurritur AD; ſed euincas tamen aduerſus teipſum;
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cùm ex hoc rursùs efficiatur, vt motu æquabiliter ac
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celerato ex A in E, non fuerint in E acquiſiti duo
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celeritatis gradus, quemadmodum in D fuit acquiſi
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tus vnus, ſi mobile quidem per totam DE non ſit
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motum duplò velocius, quàm per totam DA; atque
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idcircò in dimidio temporis, durationeve minuto
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rum trium. </
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<
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id
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">Fit etiam, vt quando concludis,
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Per
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hanc igitur primi temporis ſubdiuiſionem, accelerationem
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motus in deſcenſu grauium ſatis exactè non explicari;
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adiici
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poſſit, neque explicari per tuam illam poſitionem,
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cum qua hæc ſubdiuiſio indiuiduè connexa eſt, &
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à qua illam auertere, ob contradictionem conſequen
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tem conatus, nihil aliud videris, quàm, quod vulgò
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aiunt, incommodum per incommodum ſoluere. </
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<
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">Prætextu ſubinde quæſito vlterioris
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incõmodi
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, ſubſternis quaſi fundamentum conſtituen
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dæ poſteà à te progreſſionis motus per parteis tem
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poris æqualeis ſecundum rationem continenter du
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plam. </
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<
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Accedit,
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inquis,
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quòd tota DE eodem
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