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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000595">
                <pb pagenum="52" xlink:href="028/01/092.jpg"/>
              ciſa illius altitudinis, ex qua ſuo nutu cadens, æquale
                <lb/>
              ſibi pondus attollat, ſuam diametrum; ſed potiùs duo­
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              decimam circiter ſuæ diametri partem; neque aliun­
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              de eadem diameter præcisè definiat altitudines, vnde
                <lb/>
              pondus, ſeu impetus multiplicetur, euadatque tri­
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              plus ex tripla, quadruplus ex quadrupla, &c. </s>
              <s id="s.000596">ſed id
                <lb/>
              potiù faciat progreſſio numerorum imparium, qua­
                <lb/>
              dratorumve, ad quos terminantur. </s>
              <s id="s.000597">Addo autem
                <lb/>
              videri mihi rem eſſe dignam conſideratu, quæ acci­
                <lb/>
              deret circa globos, ſi velocitatis, ſiue impetus acqui­
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              ſiti gradus menſurandi eſſent penes ſingulas diame­
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              tros, quæ menſurarent ſingulorum caſus. </s>
              <s id="s.000598">Sunto
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              enim globi, v.c. </s>
              <s id="s.000599">duo ex eadem materia, quorum
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              vnus ſit diametro decies maiore, quàm alius, & di­
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              mittatur vterque ex eadem altitudine. </s>
              <s id="s.000600">Tunc, quia mi­
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              nor decidet per diametros decuplò plureis, quàm ma­
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              ior, fiet, vt attollat pondera ſibi æqualia decuplò
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              multipliciora, quàm attollat, maior ex ſibi æqualibus;
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              Quare & ſequetur, vt per idem ſpatium feratur de­
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              cuplò citiùs, temporeve decies breuiore perueniat
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              ad lancem, quàm maior. </s>
              <s id="s.000601">Hoc autem conſtat, quàm
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              falſum ſit; cùm ſi globorum alteruter deberet velo­
                <lb/>
              ciùs moueri, & peruenire citiùs, is non ſine quadam
                <lb/>
              veriſimilitudine deberet potiùs eſſe maior (quandò
                <lb/>
              & Ariſtoteles perſuaſus id fuit, & toti penè mundo
                <lb/>
              hactenus perſuaſit) ac doceat tamen experientia duo
                <lb/>
              pondera eiuſdem materiæ, inæquabiliſſima licet, ve­
                <lb/>
              luti vnum vnius vnciæ, alterum verò librarum cen­
                <lb/>
              tum, ex eadem cadentia altitudine, cadere eadem
                <lb/>
              velocitate, ac momento eodem peruenire in terram. </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
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