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

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              <s id="s.000459">
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              ipſum reſiliendo proximè attigiſſet. </s>
              <s id="s.000460">Ex quo effici­
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              tur, vt cùm res propriè attendenda non ſit, vbi cla­
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              uus infra lineam defigitur, quòd tunc libratio ſimplex
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              non ſit, ſed miſtio duorum motuum, quorum im­
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              petus ſe mutuò retundunt; ſit verò propriè atten­
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              tenda, cùm clauo ſupra lineam defixo, vibrationis
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              motus ſimplex eſt; ideò non ſit exiſtimandum illam
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              qualemcumque interuallorum inæqualitatem in­
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              terturbare negotium; ac potiſſimùm quidem, cùm
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              ipſa ordinata ſint, ac eandem inter ſe, quàm fili, &
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              arcus prolixitates proportionem ſeruent. </s>
              <s id="s.000461">Ad hæc,
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              id videtur præſertim eſſe obſeruatione dignum in
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              his pendu orum vibrationibus, quòd, Si quatuor di­
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              ſtinctos g obos quatuor diſtinctis filis ſic appendas,
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              vt primi longitudo ſit vnius, v. c. pedis, ſecundi qua­
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              tuor, tertij nouem, quarti ſexdecim; experturus ſis,
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              vbi omnes dimiſſi ſimul fuerint, quartum perfectu­
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              rum vnam vibrationem eodem tempore, quo ter­
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              tius interim perfecerit duas, ſecundus treis, & primus
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              quatuor. </s>
              <s id="s.000462">Scilicet exinde intelligitur, tum pendulo­
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              rum vibrationes tantò ſegnius fieri, quantò earum
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              arcus planiores, ſiue inclinatiores ſunt; tum inclina­
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              tiones arcuum menſuratas ſecundum varias perpen­
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              diculi, ſeu fili longitudines, habere ſe perinde vt qua­
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              drata temporum, ac vibrationes habere ſe reciprocè
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              vt ipſas radices; ſicque rem eximiè quadrare ad ſu­
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              periùs expoſitam motus æquabilis rationem; tum
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              globum quartum non acquirere impetum ad eleua­
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              tionem neceſſarium, niſi tempore duplo tertij, tri­
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              plo ſecundi, quadruplo primi; ac eſſe quidem im-</s>
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          </chap>
        </body>
      </text>
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