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

Table of figures

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              <s id="s.001297">
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              dupla eius velocitatis, qua percurritur AD, ſed velocitate
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              maiore.
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            <p type="main">
              <s id="s.001298">Et hoc admitto denique; verùm aliis prorsùs, quàm
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              tuis principiis perſuaſus. </s>
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            <p type="main">
              <s id="s.001299">
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              Ad hanc Demonſtrationem quid profers?
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              <s id="s.001300">Hem! quid profero? </s>
              <s id="s.001301">Videlicet Primò tefalſa vſur­
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              pare principia, neque alia lege concludere ex ipſis ve­
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              rum, quàm ſi quis ex eo, quod aſſumat
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              arbores omneis
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              eſſe in cælo,
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              &
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              Lunam eſſe arborem,
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              concludat
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              Lunam
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              eſſe in cælo.
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              </s>
              <s id="s.001302"> Secundò, committere te, vt vulgo aiunt, cir­
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              culum, incidereve in Diallelum; vti obiter inſinuatum
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              eſt, & tota ex ſerie tui operis conſtat. </s>
              <s id="s.001303">Tertiò, te noua
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              contradictione temetipſum inuoluere, dum coactus vi
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              ſuperioris dilemmatis, dicere teneris velocitatem per
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              DE duplam eſſe velocitatis per AD, & nunc aſſumis,
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              aut te probaſſe contendis eandem velocitatem per
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              DE duplam eſſe velocitatis per SD, quod ſit ſolùm di­
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              midium ipſius DE. </s>
              <s id="s.001304">Quartò te rursùs eâ implicari,
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              quòd cùm huc vſque volueris acquiſitos eſſe ab A in
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              E duos gradus, qui ſimùl iuncti ſint duplum illius, qui
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              acquiſitus eſt ex A in D; velis iam eoſdem duos gra­
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              dus eſſe duplum illius, qui ſolummodò ſit acquiſitus
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              ex S in D. </s>
              <s id="s.001305">Quintò te idcircò omnia perturbare; qua­
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              tenus quicquid hactenus dixiſti de ſpatio in parteis
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              æqualeis diuiſo, & incipiendo quidem ab A, vt proba­
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              res velocitates acquiſitas eſſe vt ſpatia; de ſpatiis iam,
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              ac velocitatibus ita loqueris, vt ſi incipiendum ſit ab S,
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              neglecto prorſus dimidio AS. Sextò, non reſponde­
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              re te quæſtioni; quoniam quæſtio eſt, non an veloci­
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              tas per ſolam DE ſit dupla velocitatis per AD; ſed an </s>
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