Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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84
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uictam. </
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">Quod enim eſſe verendum ais, ne halluci
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natus fuerit, hoc ſatis profectò non eſt; & quòd argu
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mento eſt tibi error vehemens, quem admiſiſſe illum
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ais, circa progreſſionem iuxta ſeriem numerorum im
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parium; declaratum iam antè eſt, vt ea quoque ipſa in
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re non fuerit erroris conuictus; imò & ſuffragium
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etiam tulerit cùm ex aliis experimentis, tum etiam ex
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tuo, hoc eſt in Bilance peracto. </
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<
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id
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">Ad ſecundum quod
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ſpectat, determinauit ille, quo præcisè tempore ſecun
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da ſpatij pars, ac dimidium primæ, & quævis alia per
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curreretur, ex aſſignato tempore, quo pars prima de
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curritur. </
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<
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id
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">Oſtendit nimirum ex ſuis principijs,
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Si à
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lationis principio duo quælibet spatia ſumantur, tempora
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ipſorum fore inter ſe, vt alterum eorum ad spatium medium
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proportionale inter ipſa.
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<
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"> Adeò vt, ſi inter AB pri
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mam partem, & AC aggregatum primæ cum
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ſecunda inuenias mediam proportionalem AD,
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tempus caſus per AB, ad tempus caſus per AC,
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futurum ſit vt AB, ad AD. </
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<
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id
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">Nimirùm id
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conſequitur ex eo, quòd ſpatia ſint inter ſe
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in duplicata temporum ratione; ſeu vt quadra
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ta temporum; quódque ſit perſpicuum ratio
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nem ſpatij AC ad ſpatium AB eſſe duplam
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rationis AC, ad AD, ſeu eandem, quam ha
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bent quadrata AC, & AD. </
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<
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id
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">Ex quo fiet, vt cùm AB
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ſupponas eſſe ſex minutorum, AC compobetur mi
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nutorum octo, & 29. ſecundorum proximè; ac proin
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de tempus per BC ſit minutorum duorum, & viginti
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nouem proximè ſecundorum. </
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<
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id
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">Eadem autem ratione
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diuiſa bifariam prima parte in E, & accepta AF media </
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