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

Table of figures

< >
[Figure 41]
[Figure 42]
[Figure 43]
[Figure 44]
[Figure 45]
[Figure 46]
[Figure 47]
[Figure 48]
[Figure 49]
[Figure 50]
[Figure 51]
[Figure 52]
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000343">
                <pb pagenum="7" xlink:href="028/01/047.jpg"/>
              gyias TQ, quæ quarto. </s>
              <s id="s.000344">Conſtat autem exinde ſpatia
                <lb/>
              aggregata ita ſe habere, ſicut quadrata tempo­
                <lb/>
                <figure id="id.028.01.047.1.jpg" xlink:href="028/01/047/1.jpg" number="6"/>
                <lb/>
              rum; quandò ADE triangulum (ſpatiumve
                <lb/>
              PR) eſt vnum; quemadmodum quadratum
                <lb/>
              ipſius AE, hoc eſt temporis vnius, eſt vnum; &
                <lb/>
              aggregatum AFG (ſeu PS) eſt quatuor; quem­
                <lb/>
              admodum quadratum AG, duorum, eſt qua­
                <lb/>
              tuor; & aggregatum AHI (ſeu PT) eſt nouem;
                <lb/>
              quemadmodum quadratum AI trium, eſt no­
                <lb/>
              uem; & aggregatum AKL (ſeu PQ) eſt ſex­
                <lb/>
              decim; quemadmodum quadratum AL qua­
                <lb/>
              tuor, eſt ſexdecim. </s>
              <s id="s.000345">Poſſumus tertiò habere li­
                <lb/>
              neam DE, pro primo gradu velocitatis acqui­
                <lb/>
              ſitæ in fine primi temporis: quatenus, vt pri­
                <lb/>
              mùm tempus AE non eſt indiuiduum, ſed in
                <lb/>
              tot inſtantia, ſeu temporula poteſt diuidi, quot
                <lb/>
              ſunt puncta, particulæve in ipſa AE (aut AD)
                <lb/>
              ita neque gradus velocitatis indiuiduus eſt, ſeu
                <lb/>
              vno inſtanti, acquiſitus totus; ſed ab vſque ini­
                <lb/>
              tio per totum primum tempus increſcit, ac re­
                <lb/>
              præſentari poteſt per tot lineas, quot poſſunt
                <lb/>
              parallelæ duci ipſi DE inter puncta linearum
                <lb/>
              AD, & AE; adeò vt quemadmodum illæ lineæ
                <lb/>
              continuo increſcunt à puncto A in lineam DE, ſic
                <lb/>
              velocitas à principio motus continuò increſcat, & re­
                <lb/>
              præſentata, qualis eſt in interceptis primi temporis in­
                <lb/>
              ſtantibus, per interceptas lineas, repræſentetur qualis
                <lb/>
              eſt in vltimo inſtanti eiuſdem primi temporis, per
                <lb/>
              ipſam DE inter vltima ductam puncta. </s>
              <s id="s.000346">Et quia ve­
                <lb/>
              locitas deinceps increſcere pergens, repræſentari rur-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>