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

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      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001583">
                <pb pagenum="203" xlink:href="028/01/243.jpg"/>
              octo ſequentibus: ſextum, quod ſexdecim ſuccedenti­
                <lb/>
              bus, atque ita porrò. </s>
              <s id="s.001584">Ego itaque oſtenſurus, vt hæc ſe
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              probè non haberent, cætera inter argumenta, rem ex­
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              primendam numeris cenſui, ac aſſumpſi
                <expan abbr="primũ">primum</expan>
              ipſum
                <lb/>
              tempus, quod dimidio illi poſteriori attribueres, veluti
                <lb/>
              aſſem, eiuſque proinde parteis duodecim quaſi vncias,
                <lb/>
              ſiue mauis minuta habui. </s>
              <s id="s.001585">Debueras tu procedere dein­
                <lb/>
              ceps per parteis æqualeis huic dimidio: quo caſu ſe­
                <lb/>
              cundæ parti fuiſſent attributa minuta ſex, ſiue
                <expan abbr="dimidiũ">dimidium</expan>
                <lb/>
                <expan abbr="tẽporis">temporis</expan>
              (ob duplicatam velocitatem) & tertiæ quatuor,
                <lb/>
              ſiue triens (ob triplicatam) & quartæ tria, ſiue quadrans
                <lb/>
              (ob quadruplicatam) &c. </s>
              <s id="s.001586">& quia tamen duplum di­
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              midij vſurpandum eſſe vbique cenſuiſti, vt partes ſe­
                <lb/>
              cunda, tertia, quarta, &c. </s>
              <s id="s.001587">fierent vbique toti primæ
                <lb/>
              æquales: ideò effectum eſt, vt ſecundæ parti non dimi­
                <lb/>
              dium, ſeu ſex minuta, ſed omninò tantumdem, ſeu duo­
                <lb/>
              decim tribueris, & tertiæ beſſem, ſiue octo: quartæ di­
                <lb/>
              midium, ſiue ſex. </s>
              <s id="s.001588">Ipſe proinde, vtcumque rationem
                <lb/>
              dupli prætermiſerim (& quam tamen iam interſeren­
                <lb/>
              dam cenſui) declarare volui, vt hæc tempora non con­
                <lb/>
              gruerent ſpatiis vtravis ratione aſsuptis. </s>
              <s id="s.001589">Et de ſecundo
                <lb/>
                <expan abbr="quidẽ">quidem</expan>
              conſtitit, ob illud, quod duplicato quidem con­
                <lb/>
              ueniret tempus primo æquale, ſeu minutorum duode­
                <lb/>
              cim, at ſimplici non niſi dimidium, ſeu minuta ſex: de
                <lb/>
              fuccedentibus autem iuxta aggregationem tuam, ob id,
                <lb/>
              quòd neque ſimplicibus, neque duplicibus conueniret
                <lb/>
              vnquam tempus æquale primo, ſeu minutorum duo­
                <lb/>
              decim, ſed vel in ſimplicibus ſemper deficeret, vel in
                <lb/>
              duplicibus ſemper abundaret: cùm deberet tamen ſal­
                <lb/>
              tem in duplicibus ſemper exæquari, vt exæquatum </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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