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

Page concordance

< >
Scan Original
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000963">
                <pb pagenum="114" xlink:href="028/01/154.jpg"/>
              duo iam in C velocitatis gradus habeantur.
                <emph type="italics"/>
              Istad
                <lb/>
              certè eſt antecedens, & nihil aliud aiunt ij, qui à
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alileo ab­
                <lb/>
              ſurditatis arguuntur. </s>
              <s id="s.000964">Iam ergo vide, vtrum ex hoc antece­
                <lb/>
              dente, rectè tuum illud, & Galilei Conſequens inferatur:
                <emph.end type="italics"/>
              Ergo
                <lb/>
              velocitas deſcenſus per totam AC ab initio ad finem,
                <lb/>
              & ſecundum quaſlibet eius parteis conſiderata, perpe­
                <lb/>
              tuò dupla eſt eius velocitatis, qua idem graue per AB
                <lb/>
              deſcendit.
                <emph type="italics"/>
              Siue enim
                <emph.end type="italics"/>
              AB
                <emph type="italics"/>
              coniunctam toti
                <emph.end type="italics"/>
              AC,
                <emph type="italics"/>
              conſide­
                <lb/>
              res, ſiue vt ſeparatam, qualis eſt
                <emph.end type="italics"/>
              DE,
                <emph type="italics"/>
              ſemper velocitas deſ­
                <lb/>
              cenſus per
                <emph.end type="italics"/>
              AC,
                <emph type="italics"/>
              quandiù percurritur prior eius pars
                <emph.end type="italics"/>
              AB,
                <emph type="italics"/>
              nec
                <lb/>
              ſui-ipſius, nec velocitatis per
                <emph.end type="italics"/>
              DE,
                <emph type="italics"/>
              dupla eſt, vt falsò aſſumis,
                <lb/>
              ſed planè eadem, aut æqualis omninò est. </s>
              <s id="s.000965">Nempe volumus,
                <lb/>
              & neceſſariò exigimus (quod ipſa quoque rei natura poſtu­
                <lb/>
              lat) vt motus, qui per totam
                <emph.end type="italics"/>
              AC,
                <emph type="italics"/>
              & per partem
                <emph.end type="italics"/>
              AB,
                <emph type="italics"/>
              ſiue
                <lb/>
              per æqualem
                <emph.end type="italics"/>
              DE,
                <emph type="italics"/>
              eadem planè velocitate incipiat, & eadem
                <lb/>
              velocitate progrediatur per totam
                <emph.end type="italics"/>
              AB,
                <emph type="italics"/>
              & per ipſam
                <emph.end type="italics"/>
              DE:
                <lb/>
                <emph type="italics"/>
              ex
                <emph.end type="italics"/>
              B
                <emph type="italics"/>
              verò ita velocitas augeatur, vt tandem in
                <emph.end type="italics"/>
              C
                <emph type="italics"/>
              dupla in­
                <lb/>
              ueniatur eius, qua fuit in
                <emph.end type="italics"/>
              B,
                <emph type="italics"/>
              vel in
                <emph.end type="italics"/>
              E. H
                <emph type="italics"/>
              æc enim nostra,
                <lb/>
              & communis aliorum ſuppoſitio eſt, & primæ propoſitionis à
                <emph.end type="italics"/>
                <lb/>
              G
                <emph type="italics"/>
              alileo aſſumptæ antecedens; ſi tamen aduerſum nos, & non
                <lb/>
              potiùs aduerſus Chimeras, & Tragalaphos depugnet. </s>
              <s id="s.000966">At
                <lb/>
              ex eo antecedente tuumillud, &
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei conſequens neceſſa­
                <lb/>
              ria illatione non priùs inferetur, quàm aliud quodlibet ex
                <lb/>
              vero falſum eruatur. </s>
              <s id="s.000967">Prima igitur
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei Propoſitio, eo
                <lb/>
              ſenſu, quo ab ipſo vſurpatur, & à te intelligitur, falſa eſt,
                <lb/>
              atque impoßibilis; ideóque tota eius ratiocinatio, non demon­
                <lb/>
              ſtratio, ſed merus Paralogiſmus eſt.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000968">An videri potes operosè quidem, ſed nequicquam
                <lb/>
              tamen explicare conatum, vt Paralogiſmum oſtendas,
                <lb/>
              quem quanta moderatione potueram non fuiſſe à te </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum