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

List of thumbnails

< >
141
141 		142
142
143
143 		144
144
145
145 		146
146
147
147 		148
148
149
149 		150
150
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="104" xlink:href="028/01/144.jpg"/>
            <p type="main">
              <s id="s.000900">Intelligamus iam, dum mobile percutrit EG, &
                <lb/>
              velocitas DE manens promouetur ſecundum qua­
                <lb/>
              drangulum DG, quovſque euadat PG, nouum in­
                <lb/>
              terim velocitatis gradum acquiri ſecundum triangu­
                <lb/>
              lum DFP, quovſque euadat FP: neceſſe eſt prorsùs
                <lb/>
              ob nouam velocitatem additam percurri EG tempore.
                <lb/>
              </s>
              <s id="s.000901">breuiore, quàm ſit dimidium temporis, quo decurſum.
                <lb/>
              </s>
              <s id="s.000902">fuerit AE. Quanto-nam ergo? </s>
              <s id="s.000903">Sanètriente. </s>
              <s id="s.000904">Nam vt
                <lb/>
              velocitas ſecundum quadrangulum DG, dupla ve­
                <lb/>
              locitatis ſecundum triangulum ADE diminuit tem­
                <lb/>
              pus ad dimidium; ita velocitas ſecundum trapezion
                <lb/>
              DFGE, triplum eiuſdem trianguli, diminuit ad vſ­
                <lb/>
              que trientem: Adeò vt, ſi tempus, quo decurſum
                <lb/>
              fuerit AE, ſupponatur, vt à te fit, minutorum v. c. ſex,
                <lb/>
              tempus, quo decurretur EG, futurum ſit minutorum
                <lb/>
              duorum. </s>
              <s id="s.000905">Cæterùm præter iam obiecta alibi incom­
                <lb/>
              moda, tum illud quoque heinc ſequitur, Quòd ſi
                <lb/>
              EG ſecunda pars ſpatij percurratur triente eius tem­
                <lb/>
              poris, quo decurſa fuerit prima AE, futurum ſit, vt
                <lb/>
              tempore ſecundo percurrantur partes non modò ſe­
                <lb/>
              cunda, ſed etiam tertia, quarta, quinta, ſexta, ſeptima,
                <lb/>
              & penè octaua; quandò qua ratione ſecundum ſpa­
                <lb/>
              tium percurritur triente, eadem tertium percurretur
                <lb/>
              quinta eiuſdem temporis parte; quartum ſeptima,
                <lb/>
              quintum nona, ſextum vndecima, ſeptimum decima­
                <lb/>
              tertia, octauum quintadecima, & hæc fragmenta ſi­
                <lb/>
              mùl iuncta vnum integrum proximè conficient.
                <lb/>
              </s>
              <s id="s.000906">Hoc autem falſum qu dem eſt, & tu ipſe longè abes,
                <lb/>
              vt fatearis ſed vides tamen, vt fuerit ex ea poſitione
                <lb/>
              deductam, qua vis parteis lineæ AC eſſe parteis ſpatij, </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum