Gassendi, Pierre - De proportione qua gravia decidentia accelerantur

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1gyias TQ, quæ quarto. Conſtat autem exinde ſpatia
aggregata ita ſe habere, ſicut quadrata tempo

6[Figure 6]
rum; quandò ADE triangulum (ſpatiumve
PR) eſt vnum; quemadmodum quadratum
ipſius AE, hoc eſt temporis vnius, eſt vnum; &
aggregatum AFG (ſeu PS) eſt quatuor; quem
admodum quadratum AG, duorum, eſt qua
tuor; & aggregatum AHI (ſeu PT) eſt nouem;
quemadmodum quadratum AI trium, eſt no
uem; & aggregatum AKL (ſeu PQ) eſt ſex
decim; quemadmodum quadratum AL qua
tuor, eſt ſexdecim. Poſſumus tertiò habere li
neam DE, pro primo gradu velocitatis acqui
ſitæ in fine primi temporis: quatenus, vt pri
mùm tempus AE non eſt indiuiduum, ſed in
tot inſtantia, ſeu temporula poteſt diuidi, quot
ſunt puncta, particulæve in ipſa AE (aut AD)
ita neque gradus velocitatis indiuiduus eſt, ſeu
vno inſtanti, acquiſitus totus; ſed ab vſque ini
tio per totum primum tempus increſcit, ac re
præſentari poteſt per tot lineas, quot poſſunt
parallelæ duci ipſi DE inter puncta linearum
AD, & AE; adeò vt quemadmodum illæ lineæ
continuo increſcunt à puncto A in lineam DE, ſic
velocitas à principio motus continuò increſcat, & re
præſentata, qualis eſt in interceptis primi temporis in
ſtantibus, per interceptas lineas, repræſentetur qualis
eſt in vltimo inſtanti eiuſdem primi temporis, per
ipſam DE inter vltima ductam puncta. Et quia ve
locitas deinceps increſcere pergens, repræſentari rur-

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