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

Page concordance

< >
Scan Original
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb pagenum="127" xlink:href="028/01/167.jpg"/>
            <p type="main">
              <s id="s.001045">Cùm
                <emph type="italics"/>
              dicis eodem tempore,
                <emph.end type="italics"/>
              hoc eſt
                <emph type="italics"/>
              primo,
                <emph.end type="italics"/>
              vnde quæſo
                <lb/>
              aſſumis? </s>
              <s id="s.001046">Nam in Aſſumptione quidem non
                <lb/>
                <figure id="id.028.01.167.1.jpg" xlink:href="028/01/167/1.jpg" number="37"/>
                <lb/>
              diſtinxeras vtrius velocitatis reſpectu idem,
                <lb/>
              aut æquale acciperes, & procliue fuit, vt
                <lb/>
              acciperes reſpectu duplæ, cui reſponderent
                <lb/>
              duo tempora, ſiue, vt expreſſi, aggregatum
                <lb/>
              temporum duorum, vnde & ſubſumendum
                <lb/>
              fuit. </s>
            </p>
            <p type="main">
              <s id="s.001047">
                <emph type="italics"/>
              Si primo tempore AD, ſpatium PM per­
                <lb/>
              curratur à velocitate ſubdupla, futurum vt toto
                <lb/>
              tempore AE
                <emph.end type="italics"/>
              (ſiue duobus temporibus, aut aggregato
                <lb/>
              duorum)
                <emph type="italics"/>
              percurratur spatium PN ſpatij PM duplum.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001048">Quo caſu rursùs addo futurum, vt non modò du­
                <lb/>
              plum, ſed etiam quadruplum percurratur. </s>
            </p>
            <p type="main">
              <s id="s.001049">
                <emph type="italics"/>
              Sicque eodem tempore ab eodem mobili percurretur totum
                <lb/>
              spatium PN, & eius dimidium PM, quod eſt impoßibile,
                <lb/>
              niſi motus fieret in inſtanti.
                <emph.end type="italics"/>
              </s>
            </p>
            <p type="main">
              <s id="s.001050">
                <emph type="italics"/>
              Eodem,
                <emph.end type="italics"/>
              hoc eſt,
                <emph type="italics"/>
              primo,
                <emph.end type="italics"/>
              nullatenus ſequitur;
                <emph type="italics"/>
              eodem,
                <emph.end type="italics"/>
              id
                <lb/>
              eſt,
                <emph type="italics"/>
              aggregato
                <emph.end type="italics"/>
              duorum, ita vt totum ſpatium PN per­
                <lb/>
              curratur duobus, & dimidium PM illorum primo, ſe­
                <lb/>
              quitur quidem, ſed addendum, percurri inſuper alia
                <lb/>
              duo ſpatia: quæ duo aliis iuncta, motu, qui fiat ſuc­
                <lb/>
              ceſſiue, non in
                <expan abbr="inſtãti">inſtanti</expan>
              , percurrantur. </s>
              <s id="s.001051">Enimverò, vt Sub­
                <lb/>
              ſumptum tuo ſenſu probes, & te perinde, atque me,
                <lb/>
              mutatis ſo ùm terminis, ratiocinari planum facias, hiſ­
                <lb/>
              ce verbis proſequeris. </s>
            </p>
            <p type="main">
              <s id="s.001052">
                <emph type="italics"/>
              Nam, vt modo ratiocinandi tuo etiam vtar, ſumpto quo­
                <lb/>
              piam alio ſpatio
                <emph.end type="italics"/>
              RO,
                <emph type="italics"/>
              spatio
                <emph.end type="italics"/>
              PM
                <emph type="italics"/>
              æquali; concipiantur duo
                <lb/>
              mobilia, quorum vnum per
                <emph.end type="italics"/>
              PN
                <emph type="italics"/>
              eodem momento moueri in­
                <lb/>
              cipiat velocitate dupla, quo alterum per
                <emph.end type="italics"/>
              RO
                <emph type="italics"/>
              deſcendit velo-
                <emph.end type="italics"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum