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.000333">
                <pb pagenum="5" xlink:href="028/01/045.jpg"/>
              fine decimæ ſint decem. </s>
              <s id="s.000334">At Galileus vult potiùs ſe ve­
                <lb/>
              locitates habere ſicut tempora; ſiue gradus velocitatis
                <lb/>
              æqualeis primo tot acquiri, quot temporis partes pri­
                <lb/>
              mæ æquales poſt ipſam fluunt. </s>
              <s id="s.000335">Addit verò ſpatij par­
                <lb/>
              teis continuò acquiri per parteis temporis æqualeis, ea
                <lb/>
              ſerie continua, qua numeri impares ab vnitate pro­
                <lb/>
              grediuntur; adeò vt ſi primo momento, ſeu prima
                <lb/>
              æquali parte temporis mobile deciderit per vnam or­
                <lb/>
              gyiam, decidat ſecundo per treis, tertio per quinque,
                <lb/>
              quarto per ſeptem, ac ita deinceps. </s>
              <s id="s.000336">Addit rurſus, quia
                <lb/>
              numeros ſic progredienteis aggregando, quadrati con­
                <lb/>
              tinuò numeri creantur; heinc fieri, vt ſi primo ſpatio
                <lb/>
              illa continuò aggregentur, quæ æqualia æqualibus
                <lb/>
              percurruntur temporibus, ſpatia tunc ſe habeant ſicut
                <lb/>
              quadrata temporum; hoc eſt, vt quemadmodum pri­
                <lb/>
              mo tempore eſt ſuperatum vnum ſpatium, ſecundo
                <lb/>
              tempore ſint ſuperata quatuor, tertiò nouem, quaito
                <lb/>
              ſexdecim, & ſic conſequenter. </s>
              <s id="s.000337">Hæc autem melius in­
                <lb/>
              telligi, declararique non valeant, quàm productis ex
                <lb/>
              eodem puncto duabus rectis lineis angulum in ipſo
                <lb/>
              creantibus, ac in parteis quotcumque æqualeis diuiſis,
                <lb/>
              interductiſque rectis lineis tum inter reſpondentia
                <lb/>
              ſingula heincinde diuiſionis puncta, tum à quouis hu­
                <lb/>
              iuſmodi in vtraque linea puncto ſecundùm ductum
                <lb/>
              alteri lineæ parallelum. </s>
              <s id="s.000338">Tale eſt ſchema, quod exhi­
                <lb/>
              bui ad calcem prioris mearum illarum Epiſtolarum,
                <lb/>
              quodque ſi heic iam repetiero, ac paulò accuratiùs, ob
                <lb/>
              factan. </s>
              <s id="s.000339">illam, de qua poſteà, æquiuocationem, expo­
                <lb/>
              ſuero, erit fortaſſis operæ pretium. </s>
            </p>
            <p type="main">
              <s id="s.000340">IIII. </s>
              <s id="s.000341">Itaque illud heic apponendo, vides primùm </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum