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

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              ſatis attendi velocitatis gradum primo momento ac­
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              quiſitum ita integrum manere in ſecundo, vt ad ſu­
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              perandum duo ſpatia valeret, ipſumque ita habui, qua­
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              ſi valeret ſolùm ad ſuperandum vnicum; ideò cùm vi­
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              derem ſecundo momento tria ſuperari ſpatia, exiſti­
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              maui facilè ita vnum ſuperari per gradum manentem,
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              vt duo alia deberent per duos alios, interim acquiſitos
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              ſuperari. </s>
              <s id="s.001641">Pari autem ratione quinque ſpatia tertio
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              ſuperari momento agnoſcens, ſic putaui treis gradus
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              ſuperiores manere, vt ſingula per ſingulos ſuperaren­
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              tur ſpatia, ac interim acquirerentur duo alij, quibus
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              duo alia ſuperarentur: non ſatis attendens duos tan­
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              tum gradus prius acquiſitos, manenteiſque eſſe, quo­
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              rum vtrique deberentur duo ſpatia; ſicque ambobus
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              quatuor; ac neceſſarium rursùs eſſe vnicum duntaxat
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              acquiri, cui ſpatium quintum deberetur. </s>
              <s id="s.001642">Pari etiam
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              ex ſpatiis ſeptem quarto momento ſuperatis, quin que
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              retuli ad gradus quinque, quos habui iam acquiſitos,
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              ac manenteis, & duo ad duos, qui acquirerentur in­
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              tereà: non attendens ipſos eſſe treis duntaxat, quorum
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              tamen ſingulis deberentur duo ſpatia; vnde & per illos
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              ſuperarentur ſex, ac ideò eſſe ſolùm neceſſe, vt tum ite­
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              rùm acquireretur vnicus, quo ſeptimum ſuperaretur;
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              atque ita de cæteris. </s>
              <s id="s.001643">Itaque, quam primùm animum
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              aduerti, diſplicuit rem ſic expoſuiſſe, vt velocitates ita
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              ſe habere viderentur, quemadmodum ſpatia, & non
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              modò ſpatiorum, ſed etiam velocitatum aggregata
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              perinde ſe habere, vt quadrata temporum: quod mi­
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              hi quidem viſum eſt ipſi naturæ repugnare; ſecundum
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              quam potiùs doberent velocitates eſſe quemadmo-</s>
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