Gassendi, Pierre
,
De proportione qua gravia decidentia accelerantur
,
1646
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gyias TQ, quæ quarto. </
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<
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">Conſtat autem exinde ſpatia
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aggregata ita ſe habere, ſicut quadrata tempo
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rum; quandò ADE triangulum (ſpatiumve
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PR) eſt vnum; quemadmodum quadratum
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ipſius AE, hoc eſt temporis vnius, eſt vnum; &
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aggregatum AFG (ſeu PS) eſt quatuor; quem
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admodum quadratum AG, duorum, eſt qua
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tuor; & aggregatum AHI (ſeu PT) eſt nouem;
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quemadmodum quadratum AI trium, eſt no
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uem; & aggregatum AKL (ſeu PQ) eſt ſex
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decim; quemadmodum quadratum AL qua
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tuor, eſt ſexdecim. </
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<
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">Poſſumus tertiò habere li
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neam DE, pro primo gradu velocitatis acqui
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ſitæ in fine primi temporis: quatenus, vt pri
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mùm tempus AE non eſt indiuiduum, ſed in
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tot inſtantia, ſeu temporula poteſt diuidi, quot
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ſunt puncta, particulæve in ipſa AE (aut AD)
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ita neque gradus velocitatis indiuiduus eſt, ſeu
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vno inſtanti, acquiſitus totus; ſed ab vſque ini
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tio per totum primum tempus increſcit, ac re
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præſentari poteſt per tot lineas, quot poſſunt
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parallelæ duci ipſi DE inter puncta linearum
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AD, & AE; adeò vt quemadmodum illæ lineæ
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continuo increſcunt à puncto A in lineam DE, ſic
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velocitas à principio motus continuò increſcat, & re
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præſentata, qualis eſt in interceptis primi temporis in
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ſtantibus, per interceptas lineas, repræſentetur qualis
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eſt in vltimo inſtanti eiuſdem primi temporis, per
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ipſam DE inter vltima ductam puncta. </
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<
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locitas deinceps increſcere pergens, repræſentari rur-</
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