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

List of thumbnails

< >
41
41
42
42
43
43
44
44
45
45
46
46
47
47
48
48
49
49
50
50
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000398">
                <pb pagenum="16" xlink:href="028/01/056.jpg"/>
              AB, ſeu ipſi æqualrs DE in ſex: ſintque primùm
                <lb/>
              duo mobilia, quorum vnum diſcedat ex A
                <lb/>
                <figure id="id.028.01.056.1.jpg" xlink:href="028/01/056/1.jpg" number="10"/>
                <lb/>
              verſus C, eodem momento, quo aliud ex D
                <lb/>
              verſus E. </s>
              <s id="s.000399">Notum eſt, ſi vtrumque quidem
                <lb/>
              ferretur non accelerato, ſed æquabili motu,
                <lb/>
              euenturum eſſe, vt velocitate illius exſiſtente
                <lb/>
              dupla ad velocitatem iſtius, illud perueniret
                <lb/>
              in C eodem momento, quo iſtud in E; quo­
                <lb/>
              niam ſpatium ab illo ſuperatum foret vbi­
                <lb/>
              que ad ſpatium ab iſto ſuperatum duplum, hoc eſt,
                <lb/>
              forent ab illo ſuperatæ duæ partes, cùm ab iſto vna;
                <lb/>
              ab illo quatuor, cùm ab hoc duæ, &c. </s>
              <s id="s.000400">quatenus ſpa­
                <lb/>
              tia ſe haberent vbique vt velocitates, hoc eſt veloci­
                <lb/>
              tas per totam AC eſſet vbique dupla velocitatis per
                <lb/>
              totam DE. </s>
              <s id="s.000401">At verò, quoniam heic agitur de motu
                <lb/>
              non æquabili, ſed continenter accelerato; ita deſcen­
                <lb/>
              dant rurſus mobilia eodem tempore, vnum ab A,
                <lb/>
              aliud à D, vt ſuccrefcentibus continuò velocitatis gra­
                <lb/>
              dibus, illud perueniendo in C acquiſierit duodecim,
                <lb/>
              hoc perueniendo in E ſex: Quæſo quid impediat,
                <lb/>
              quo minùs illud perueniat in C eodem tempore, quo
                <lb/>
              iſtud in E? </s>
              <s id="s.000402">Nam diſcrimen eſt quidem inter mo­
                <lb/>
              tum acceleratum, & æquabilem, quòd in æquabili
                <lb/>
              partes ſpatiorum æquales percurrantur æqualibus
                <lb/>
              temporibus, vt ſingulæ partes lineæ DE ſingulis mi­
                <lb/>
              nutis, & geminæ partes lineæ AC minutis item ſin­
                <lb/>
              gulis; in accelerato non item: At in eo tamen motus
                <lb/>
              conueniunt, quòd vbique velocitas per totam AC
                <lb/>
              dupla ſit velocitatis per totam DE; & qua ratione
                <lb/>
              plures, plureſque ex ſingulis partibus lineæ DE </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>