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

Page concordance

< >
Scan Original
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
< >
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>