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

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              <s id="s.000698">
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              tiorum primum conſequentium percurritur. </s>
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              <s id="s.000699">XXXVIII. </s>
              <s id="s.000700">Videris itaque imprimis haud abs re
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              dixiſſe
                <emph type="italics"/>
              admirabile Paradoxum:
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              cùm habuiſti videlicet
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              poſterius primæ partis dimidium, vt ſcalam Prototy­
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              picam, cuius gradibus coæquetur, exquiſitéque men­
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              ſuretur cæterarum omnium conſequentium duratio;
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              tametſi illud eſſe poſſit parte digiti milleſima minus,
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              & iſtarum aggeries, quanta eſt tota ſemidiameter
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              mundi. </s>
              <s id="s.000701">Non ſanè, quod negem dari lineas, aliaſque
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              magnitudines, in quibus arcana prorsùs admiranda,
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              & quæ nemo vnquam ſuſpicatus fuiſſet, detegantur à
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              Geometris: ſed quod videri iure poſſit penitus incre­
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              dibile alligaſſe potius naturam ipſa quaſi fatȧ cætera­
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              rum partiumipſi poſteriori, quàm prioridimidio; imò
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              & non tam toti ipſi dimidio, quàm infimo illius pun­
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              cto, à quo triens, quadrans, cæteræ fractiones debeant
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              ſupputari. </s>
              <s id="s.000702">Ecquod-nam eſſe enim poteſt illius pri­
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              uilegium; aut quid-nam admiſſum à priore dimidio
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              eſt, vt eo excidiſſe, & pro nihilo reputari iure cenſea­
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              tur? </s>
              <s id="s.000703">Quid habere
                <expan abbr="cõmune">commune</expan>
              poteſt centeſima, milleſima
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              decieſque, & centies milleſima pars
                <expan abbr="">cum</expan>
              poſteriore hoc
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              dimidio; non habere autem cum illo priore, à quo to­
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              tus motus dependet; non cùm cæteris partibus perinde
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              ſuccedentibus; non ſaltem cum vicinis, quibuſcum
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              proximè cohæret? </s>
              <s id="s.000704">Deinde, ne hac in re hæream, ea­
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              dem prorsùs incommoda ex triente pro tertia parte,
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              ex quadrante pro quarta, atque ita de cæteris, quæ ex
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              ipſo dimidio pro ſecunda conſequuntur. </s>
              <s id="s.000705">Nam, vt
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              rem circa ipſum trientem, partemque tertiam ſolùm
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              atringam, Sicuti primùm totam AC in treis diuiſiſti </s>
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