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

List of thumbnails

< >
131
131 		132
132
133
133 		134
134
135
135 		136
136
137
137 		138
138
139
139 		140
140
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000873">
                <pb pagenum="100" xlink:href="028/01/140.jpg"/>
                <emph type="italics"/>
              notum erit, quàm anteà momenta, ſeu incrementa velocitatis
                <lb/>
              per parallelas
                <emph.end type="italics"/>
              ED, GE, IH
                <emph type="italics"/>
              &
                <emph.end type="italics"/>
              LK
                <emph type="italics"/>
              repræ|entatæ. </s>
              <s id="s.000874">æqualia
                <lb/>
              ſub huiuſmodi partibus acquiri. </s>
              <s id="s.000875">Cùm igitur in vtraque
                <lb/>
              hypotheſi eadem omninò velocitatis acceleratio habeatur, cur
                <lb/>
              prior à te constituta perfectam omnibus numeris
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei de­
                <lb/>
              finitionem oſtendat; vulgatam autem defi utionem poſterior
                <lb/>
              hypotheſis pari ratione perfectam non euincat?
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000876">Cauſſam inſinuaui tum mox, tum verbis illis, quæ
                <lb/>
              præmiſeram,
                <emph type="italics"/>
              Quippe meminiſſe, aut potiùs adnotaſſe dili­
                <lb/>
              genter oportet agi heic de motu æquabiliter accelerato, ſiue
                <lb/>
              cuius celeritas continenter, vniformiterque increſcat, neque
                <lb/>
              vllum ſit momentum conſequentis temporis, in quo motus non
                <lb/>
              ſit velocior, quàm in quouis antecedente, & in quo non eadem
                <lb/>
              ratione ipſa velocitas augeatur.
                <emph.end type="italics"/>
              </s>
              <s id="s.000877"> Nempe memini
                <emph type="italics"/>
              Tempo­
                <lb/>
              ris,
                <emph.end type="italics"/>
              ob rationem poſteà deductam, vbi tu primùm de
                <lb/>
              eo egiſti, admonendo fuiſſe originem mali, quòd in
                <lb/>
              definitione vulgari, ſeu tua nulla eſſet facta
                <expan abbr="mẽtio">mentio</expan>
              tem­
                <lb/>
              poris, ſine quo tamen neque celeritas, neque accele­
                <lb/>
              ratio (& maximè quidem vniformis) intelligi poſſit.
                <lb/>
              </s>
              <s id="s.000878">Obieci illeic,
                <emph type="italics"/>
              Si velocitas attendatur ſolùm penes ſpatia,
                <lb/>
              debere ſemper id mobile, quod decem percurrerit ſtadia, dici
                <lb/>
              moueri celeriter, & ſemper id, quod vnicum percurrerit, tar­
                <lb/>
              dè, cum contingere tamen poßit, vt quod percurrit vnicum,
                <lb/>
              moueatur decuplò velociùs, quàm illud, quod percurrit decem.
                <emph.end type="italics"/>
                <lb/>
              Addo heic ſolùm; ſi AC ſit ſpatium, & mobile diſce­
                <lb/>
              dens ab A acceleretur vſque ad E per parteis integri
                <lb/>
              minuti; & motu non interrupto accelerari pergat ab
                <lb/>
              E in G, ſed per parteis integræ horæ; ac rursùs motu
                <lb/>
              non interrupto accelerari pergat à G in I, ſed per par­
                <lb/>
              teis integri ſecundi; rurſuſque etiam non interrupto </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum