Gassendi, Pierre, De proportione qua gravia decidentia accelerantur, 1646

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              <s id="s.000780">
                <pb pagenum="84" xlink:href="028/01/124.jpg"/>
              uictam. </s>
              <s id="s.000781">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. </s>
              <s id="s.000782">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. </s>
              <s id="s.000783">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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              </s>
              <s id="s.000784"> Adeò vt, ſi inter AB pri­
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              mam partem, & AC aggregatum primæ cum
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                <figure id="id.028.01.124.1.jpg" xlink:href="028/01/124/1.jpg" number="24"/>
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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. </s>
              <s id="s.000785">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. </s>
              <s id="s.000786">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. </s>
              <s id="s.000787">Eadem autem ratione
                <lb/>
              diuiſa bifariam prima parte in E, & accepta AF media </s>
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        </body>
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