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

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              <s id="s.000756">
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              druplus, in V octuplus, &c. </s>
              <s id="s.000757">quòd vt geminatur à pri­
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              mo interuallo in ſecundum, ſic geminati debeat à ſe­
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              cundo in tertium, à tertio in quartum, &c. </s>
              <s id="s.000758">ideò tem­
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              pora fient ſemper dimidiorum dimidia. </s>
              <s id="s.000759">Vnde eueniet,
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              vt peracto tempore primo, procedatur ſolùm conſe­
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              quenter per eiuſdem dimidium, quadrantem, octan­
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              tem, & fractiones cæteras nunquam ipſi toti, niſi
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              tranſactis ſpatiis infinitis, exæquandas. </s>
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              De Tempore, quo
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              G
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              lobum ferreum caſurum ex Luna in
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              Terram contendit.
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              <s id="s.000761">XLIII. </s>
              <s id="s.000762">Cùm tibi ſubinde in animo eſſet ſpecimen
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              quoddam inſigne dare huiuſce tuæ rationis duplæ,
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              caſum delegiſti globi ferrei ex Luna vſque in centrum
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              Terræ. </s>
              <s id="s.000763">Ac primùm quidem adnotas ſequi ex tua illa
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              ratione, G
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              rauia omnia longè celeriùs deorſum moueri,
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              quàm à
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              G
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              alileo conſtituatur; quoniam cùm ex eius principiis
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              corpus graue quodcumque ſex temporibus, exempli gratiâ,
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              inter ſe æqualibus deſcendens, non niſi triginta ſex interualla
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              æqualia percurrat; poſita aliunde acceleratione motus
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              æqualibus temporibus in ratione dupla, demonſtratum
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              à te
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              dicis
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              neceſſe omninò eſſe, vt idem corpus graue ſex iiſdem
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              temporibus deſcendens in terualla non tantum triginta ſex,
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              ſed ſexaginta tria decurrat.
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              </s>
              <s id="s.000764">Verùm hac in re non eſt
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              immorandum, neque exaggeranda eſt exorbitatio,
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              qua facta progreſſio in ratione dupla, vtcumque initio
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              moderata ſit, & progreſſionem ſecundum ſeriem nu­
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              merorum imparium proximè circumſtet; illicò tamen
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              omneis metas probabilitatis prætergreditur, cùm res
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              ſtatim pateat in ipſo de caſu ex Luna exemplo. </s>
              <s id="s.000765">Ecce </s>
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