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

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              <s id="s.000683">
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              modi de monſtratio; Sequitur ecce rursùs, vt tempus,
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              quo percurritur DE ſeſquialterum ſit, non verò æqua­
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              le illi tempori, quo percurritur SD. </s>
              <s id="s.000684">Cum velocita­
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              tes enim ſint per te, vt ſpatia; ac aliunde ſit manife­
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              ſtum, vbi eſt duplum velocitatis, ibi dimidium eſſe
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              temporis, vbi triplum trientem, atque itaſemper in ra­
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              tione ſubmultipla; ſi ſit primò vt AE ad AD, ita
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              AD ad AS; erit igitur diuidendo vt AS ad SD, ita
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              AD, ad DE; ac deinde, ſi ſit AS tempus minuto­
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              rum quatuor, & SD minutorum duorum; Erit igitur
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              tempus AD quidem minutorum ſex, & DE minuto­
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              rum trium, atque adeò ſeſqui-alterum, non æquale
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              tempori SD. </s>
              <s id="s.000685">Sequitur iterùm, vt non ſecùs, quàm
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              Galileus ratiocineris, dum Paralogiſmi illum arguis.
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              <s id="s.000686">Siquidem ex tuo quoque ratiocinio euineitur, vt to­
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              ta AE eodem tempore, quo ipſa AD, quæ pars eius
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              eſt, percurratur. </s>
              <s id="s.000687">Nam ſi vt AE ad AD, ita DE ad
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              SD; ergo vt DE tempus ad SC tempus, ita AE tem­
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              pus ad AD tempus: Atqui DE tempus per te eſt
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              æquale tempori SD; igitur AE tempus æquale erit
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              AD tempori; hoc eſt totum, & pars percurrentur
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              tempore æquali, aut eodem. </s>
              <s id="s.000688">Sequitur prætereà, vt
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              quia quælibet magnitudo etiam ipſa diameter Mundi
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              tam eſt dupla ſui dimidij, quàm AE eſt ipſius AD, &
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              tam in fine dupli eſt velocitas dupla, quam in fine
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              dimidij dimidia; ideò etiam diameter Mundi ita ſe
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              ad ſemidiametrum habeat, vt DE ad SD; quare &
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              quemadmodum DE percurritur eodem tempore, quo
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              SD, duobus videlicet minutis; ita etiam Mundi ſemi­
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              diameter debeat eodem tempore, ſeu duobus minutis </s>
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