Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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quas neque tu, neque alius quiſquam aßignare poteſt, ſed
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tempora etiam illis adſcribis, quæ nullo modo ipſis conuenire
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non ignoras. </
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<
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id
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">Vis enim primi ſpatij partem dimidiam dimidia
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parte eius temporis percurri, quo totam primam partem ab
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ſolui ſupponis; & tertiam partem tertia parte, quartam
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quartaparte eiuſdem temporis: cùm ex tuis, &
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G
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alilei prin
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cipiis dimidia parte prima temporis, quarta pars tantum spatij
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ſuperior decurratur, & reliqua dimidia parte temporis tres
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inferiores ſpatij quadrantes abſoluantur. </
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<
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id
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">Vide ergo quid ex
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tam abſurda hypotheſi concludere poßis.
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<
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">Cùm nihil ſit, quod prodat magis decretorum
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incohærentiam, quàm reductio ad calculos; ex eo eſt,
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cur potiſſimùm ſupputationes auerſeris. </
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<
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">Id autem hoc
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loco præſertim probatur. </
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<
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">Admiſiſti poſſe diſtingui
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in motu grauium decidentium plura æqualia tempora:
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at cùm planum foret, vt ſpatio diuiſo in parteis æqua
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leis, primum tempus attribueretur primæ huiuſcemodi
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partium, ac deinde explicaretur quota eius temporis
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parte percurrerentur cæteræ; & in qua ipſarum ſecun
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dum tempus æquale deſineret, in qua tertium, &c. </
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<
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">di
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uertiſti nihilominus, & pro primo tempore accipien
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dum voluiſti id, quo decurreretur eiuſdem primæ par
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tis non prius, ſed poſterius dimidium; & tum voluiſti
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ſecundam partem, quæ eſſet dupla huius dimidii, æqua
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li cum eo tempore percurri: tum tertiam æquali cum
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eo, quo triens eiuſdem primæ partes infimus; quartam
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æquali cum eo, quo quadrans, &c. </
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<
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">tum
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tem
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pus æquale primo eſſe id, quod debetur ſecundæ parti
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ſoli: tertium, quod tertiæ, & quartæ ſimùl: quartum,
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quod quintæ, ſextæ, ſeptimæ, octauæ: quintum, quod </
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