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

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            <p type="main">
              <s id="s.000719">
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              Patietur tua bonitas adm rari imprimis me, quid eſſe
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              agendum cogitaueris de primo dimidio AN. </s>
              <s id="s.000720">Vide­
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              licet rationem duplam, progreſſionemque à puncto
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              N ita inchoas, vt ſi motus inciperer, ac vniformiter
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              quidem, non à puncto A, ſed à puncto N. </s>
              <s id="s.000721">An dices
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              fortè poſſe AN ita biſecari, vt motus, & ratio, pro­
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              greſſioque illius incipiat à puncto inter A, & N me­
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              dio? </s>
              <s id="s.000722">Sed biſeca, vt voles, eadem erit ruina. </s>
              <s id="s.000723">Biſeca
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              rursùs, iterumque, & porrò vſque in infinitum; atta­
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              men ſemper ſupererit pars, à cuius medio, non autem
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              ab A fieri incœptio cogitetur; adeò vt prorsùs perinde
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              ſit conſiſtere in dimidio AN. </s>
              <s id="s.000724">Cùm autem dicturus
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              prætereà non ſis fieri ſolùm quoddam quaſi tyroci­
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              nium, ſeu præludium ex A in N, ac motum deinde,
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              & rationem, progreſſionemque incipere ſeriò ab N;
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              cùm non ſis, in quam, id dicturus, vt pote, qui motum
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              admittas à primo vſque ſui momento accelerari vni­
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              formiter; ac ſupponas etiam, vbi tempus per AC mi­
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              nutorum ſex fuerit, tempus per AN futurum minuto­
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              rum quatuor; quæſo te, ecquis modus eſt progreſſio­
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              nis ex A in N? </s>
              <s id="s.000725">Nam ab A quidem incipiens motus
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              acceleratur continuò, & progreſſu accelerationis in­
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              alterato tranſit per N, ac pergit vlterius, nec dicere
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              licet quid illi ſpeciale contingat in N, quod in alio
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              quovis puncto non contingat. </s>
              <s id="s.000726">An non ergo, ſi tem­
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              poribus æqualibus ſpatia decurruntur in ratione du­
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              pla; debet omninò ſpatium AN percurti tempore
                <lb/>
              æquali cum ſpatio conſequente duplo, vt putà ipſo
                <lb/>
              NS? </s>
              <s id="s.000727">Id autem cùm prorſus ita eſſe debeat, qui fit, vt
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              per te etiam triplum percurratur ſpatium, putà ND? </s>
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