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

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              <s id="s.000677">
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              rursùs non vno minuto, ac triente, ſed ſecundis ſolùm
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              proximè quinquaginta tribus; & rursùs proximè
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              octodecim, & rursùs ſex, &c. </s>
              <s id="s.000678">Deinde, cùm ad id
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              oſtendendum vſus fueris ea ratione, quòd neceſſe ſit,
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                <emph type="italics"/>
              velocitatem in D duplam eſſe velocitatis in
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              S,
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              & veloci­
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              tatem in E duplam velocitatis in D, ſicuti
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              AD
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              ponitur du­
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              pla ipſius
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              AS,
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              & ſimiliter
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              AE
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              dupla eſt ipſius
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              AD; ſe­
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              quitur exinde, vt tam tota DE, quàm tota SD per­
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              curratur non triente, ſed dimidio temporis, quo tota
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              AD: cùm vbicumque eſt velocitatis duplum, vbi ſit
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              dimidium temporis duntaxat, neque tu id infregeris,
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              ſed incommodum ſolùm attuleris, quod cùm euertat
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              conſequutionem de ſubdiuiſione primi temporis, ſup­
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              poſitionem quoque euertit de velocitate dupla in du­
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              plo ſpatii, tripla in triplo, &c. </s>
              <s id="s.000679">vt aliquoties eſt incul­
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              catum. </s>
              <s id="s.000680">Nam & quod poſteà aſſumis tempus per
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              SD, atque adeò DE eſſe breuius, quàm dimidium
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              eius, quo tranſcurritur AD, id facis quidem rectè,
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              verumtamen iure non tuo; quippe id facis ſolùm me­
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              tu eius incommodi, quod præſenſiti poſſe vrgeri de
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              motus acceleratione vniformiter, continenterque in­
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              creſcente: cùm id alioquin & repugnet tuæ ſuppoſi­
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              tioni de velocitate dupla in duplo ſpatio, tripla in
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              triplo, &c. </s>
              <s id="s.000681">& euertat demonſtrationem ipſam, ad
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              quam iam recurris, cùm oſtenſum ais tempus, quo
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              percurritur ſecunda pars, æquale eſſe tempori, quo
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              tranſmittitur dimidium poſterius, ſeu inferius primæ:
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              neque enim id fuit oſtenſum alio ratiocinio, quam
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              quod ipſemet ſtatim pernegaſti. </s>
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            <p type="main">
              <s id="s.000682">XXXVI. </s>
              <s id="s.000683">Attamen ſupponatur etiam tua huiuſ-</s>
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