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

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              <s id="s.000727">
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              Quippe, vt tempus per AN eſt
                <expan abbr="minutorũ">minutorum</expan>
              quatuor; ita
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              tempus per NC, & CD, vtrumque, ex te, minutorum
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              duorum, ſtatuitur coniunctim minutorum quatuor.
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              </s>
              <s id="s.000728">Ecquo ergo modo ſanari id putas? </s>
              <s id="s.000729">Patere rursùs mi­
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              rari me, quorſum ablegandam cenſueris progreſſio­
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              nem illam arithmeticam, qua velocitates ſe, vt ſpatia
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              habent, & quam ſternendam, vt fundamentum ædifi­
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              cij totius cenſuiſti? </s>
              <s id="s.000730">Ecce enim, cùm velles gradus ce­
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              leritatis ita diſtribui, vt in D eſſent duo gradus, quo­
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              rum vnus eſſet acquiſitus ab A in C, & alius ipſi æqua­
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              lis acquiſitus à C in D; vis iam à C in D talem gra­
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              dum acquiri, qualis acquiritur ab N in C; quando­
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              quidem CD tanto tempore, quanto NC, cuius eſt
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              dupla, percurritur. </s>
              <s id="s.000731">Ex quo rurſus conſequitur, vt ve­
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              locitates per AC, & NC acquiſitæ ſint prorsùs æqua­
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              les; ac proinde, vt AC, & NC hoc eſt totum, & pars
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              eodem tempore percurrantur; ac ſpatium CD non
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              percurratur modò eodem tempore, quo NC, ſed
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              etiam eodem, quo AC; quæ iterùm neſcio ſanari quá
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              valeant. </s>
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            <p type="main">
              <s id="s.000732">XLI. </s>
              <s id="s.000733">Patere inſuper, vt requiram, ſubſit-ne tibi
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              ratio, quamobrem diuisâ lineâ AB in parteis æqua­
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              leis, deligere poſſis dimidium NC, &i pergendo pro­
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              portione dupla dicere, vt NC ad CD, ita CD ad
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              DF, & DF ad FK, &c. </s>
              <s id="s.000734">dicere autem perinde non
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              liceat, vt AC ad CE, ita CE ad EI, & EI ad ſui du­
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              plam? </s>
              <s id="s.000735">Dicere certè accipiendum eſſe poſterius pri­
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              mæ partis dimidium, quòd contineatur in eo men­
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              ſura cæterarum partium conſequentium, videtur eſſe
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              dicere gratis, ipſamque petere quæſtionem; ac aliunde </s>
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