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

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              <s id="s.000657">
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              præcisè tempore, quo pars
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              S
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              D tranſcurreretur
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              (tempore
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              nimirùm non trium, non duorum cum triente, vt
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              priùs, ſed minutorum præcisè duorum) id autem ſic
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              probas.
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              Cùm enim AD dupla ponatur ipſius A
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              S,
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              &
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              ſimiliter AE dupla ſit ipſius AD, neceſſe eſt, vt velocitas
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              in D dupla ſit velocitatis in
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              S;
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              & velocitas in E eodem
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              modo dupla reperiatur velocitatis in D; imò, vt velocitas
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              etiam quæcumque in quovis puncto inter D, & E conſtitu­
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              to deſignabilis perpetuò dupla ſit velocitatis alterius inter S,
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              & D etiam aßignabilis, vt facilè quilibet per ſe intelligere
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              poteſt. </s>
              <s id="s.000658">Sumpto enim puncto quocumque inter D, & E,
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              ex empli gratiâ T, diuiſoque bifariam interuallo AT, ſectio
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              neceſſario cadet inter D, &
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              S,
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              puta in V. </s>
              <s id="s.000659">Et quia erit
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              AT dupla ipſius AV, erit etiam velocitas in T dupla ve­
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              locitatis in V, & ita in cæteris punctis, quæ deſignari poſſunt
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              inter D, & E. </s>
              <s id="s.000660">Quare per totum interuallum DE velocitas
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              erit dupla velocitatis per totum spatium
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              SD,
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              ſicut interual­
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              lum DE duplum eſt interualli
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              SD.
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              Ambo igitur hæc in­
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              terualla nempe
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              SD,
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              & DE æquali tempore percurruntur.
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              Quo loco admitto imprimis, vt nouum incommo­
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              dum, eandem partem DE, quæ probata eſt primùm
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              percurri debere ex tuo principio minutis tribus, ac
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              deinde minutis duobus cum triente, probari iam per­
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              curri debere minutis duobus. </s>
              <s id="s.000661">Quippe nihil eſt, quod
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              magis prodat falſitatem principii, quàm tot repu­
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              gnantium, atque abſurdorum capitum deductio.
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              </s>
              <s id="s.000662">Neque verò heic adhûc finis; quandò alia innumera
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              pari ratione conſequentur. </s>
              <s id="s.000663">Nam ſi, v.c. </s>
              <s id="s.000664">AS bifa­
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              riam ſecetur in P, conficietur eodem tuo ratiocinio,
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              vt PS percurratur eodem tempore, quo SD, atque </s>
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