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

Table of figures

< >
< >
page |< < of 360 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000951">
                <pb pagenum="112" xlink:href="028/01/152.jpg"/>
                <emph type="italics"/>
              emenſa ſpatia, & hic ſenſus verus ac neceſſarius eſt. </s>
              <s id="s.000952">Si
                <lb/>
              enim intriangulo æqualia spatia deſignentur
                <emph.end type="italics"/>
              AD, DE, EF,
                <lb/>
                <emph type="italics"/>
              &c. </s>
              <s id="s.000953">& in
                <emph.end type="italics"/>
              D
                <emph type="italics"/>
              acquiſitus ſupponatur vnus
                <emph.end type="italics"/>
                <lb/>
                <figure id="id.028.01.152.1.jpg" xlink:href="028/01/152/1.jpg" number="30"/>
                <lb/>
                <emph type="italics"/>
              gradus, & in
                <emph.end type="italics"/>
              E
                <emph type="italics"/>
              duo, & tres in
                <emph.end type="italics"/>
              F,
                <emph type="italics"/>
              manifeſtum
                <lb/>
              eſt duos gradus, ad quos acceleratio perueniſſe
                <lb/>
              ponitur in
                <emph.end type="italics"/>
              E,
                <emph type="italics"/>
              eſſe ad vnum gradum acquiſi­
                <lb/>
              tum in
                <emph.end type="italics"/>
              D,
                <emph type="italics"/>
              vt ſpatium
                <emph.end type="italics"/>
              AE
                <emph type="italics"/>
              ad spatium
                <emph.end type="italics"/>
              AD;
                <lb/>
                <emph type="italics"/>
              & ſimiliter gradus treis, qui in
                <emph.end type="italics"/>
              F
                <emph type="italics"/>
              ſupponun­
                <lb/>
              tur terminare celeritatis augmentum, eſſe ad
                <lb/>
              gradum vnum ipſius
                <emph.end type="italics"/>
              D,
                <emph type="italics"/>
              vel ad duos ipſius
                <emph.end type="italics"/>
              E,
                <lb/>
                <emph type="italics"/>
              vt
                <emph.end type="italics"/>
              AF,
                <emph type="italics"/>
              ad
                <emph.end type="italics"/>
              AD,
                <emph type="italics"/>
              vel
                <emph.end type="italics"/>
              AE.
                <emph type="italics"/>
              Et hoc quidem
                <lb/>
              ſenſu, ſi primam illam
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei vſurpares, vera omninò eſſet,
                <lb/>
              ac neceſſaria, ſed Aſſumptio, quæ ſubſumitur, falſa eſſet at­
                <lb/>
              que impoßibilis; nempe hæc.
                <emph.end type="italics"/>
              </s>
              <s id="s.000954"> At quoties velocitates inter
                <lb/>
              ſe ſunt vt emenſa ſpatia (
                <emph type="italics"/>
              in ſenſu proximè aßignato
                <emph.end type="italics"/>
              ) de­
                <lb/>
              bent neceſſariò ea ſpatia aut eodem, aut æquali tem­
                <lb/>
              pore percurri:
                <emph type="italics"/>
              Sicque iam hac ex parte
                <emph.end type="italics"/>
              G
                <emph type="italics"/>
              alilei licet ratio­
                <lb/>
              cinatio corruit. </s>
              <s id="s.000955">Sed alius item eſſe poteſt primæ illius Propo­
                <lb/>
              ſitionis ſenſus, vt ſeilicet quoties acceleratio velocitatis in deſ­
                <lb/>
              cenſu grauium æqualibus ſpatiis æqualia incrementa acquirit,
                <lb/>
              integræ velocitates ſecundum ſe totas, & quaſlibet ſui parteis
                <lb/>
              analogas aeceptæ, & conſiderata, & non tantum acquiſitæ
                <lb/>
              partibus ſpatii æqualibus incrementa, eam ab initio ad finem
                <lb/>
              inter ſe rationem obſeruent, quam emenſa ſpatia. </s>
              <s id="s.000956">Qui ſen­
                <lb/>
              ſus à priore longè diuerſus est, & à te non intenditur modò;
                <lb/>
              ſed diſtinctè quoque eodem numero x. </s>
              <s id="s.000957">exprimitur. </s>
              <s id="s.000958">Ais enim.
                <emph.end type="italics"/>
                <lb/>
              Rem certè in hunc modum concipio. </s>
              <s id="s.000959">Intelligatur
                <lb/>
              AC, diuiſa in duodecim parteis æqualeis, ac proinde
                <lb/>
              eius dimidium AB, ſeu ipſi æqualeis DE in ſex; ſint­
                <lb/>
              que primùm duo mobilia, quorum vnum deſcendat </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum