Borelli, Giovanni Alfonso, De motionibus naturalibus a gravitate pendentibus, 1670

Table of figures

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002317">
                <pb pagenum="444" xlink:href="010/01/452.jpg"/>
                <arrow.to.target n="marg597"/>
                <lb/>
              motu ferri, quàm minus igitur falſa eſt poſitio. </s>
            </p>
            <p type="margin">
              <s id="s.002318">
                <margin.target id="marg597"/>
              Cap. 10. de
                <lb/>
              æquitempo­
                <lb/>
              ranea natu­
                <lb/>
              rali veloci­
                <lb/>
              tate
                <expan abbr="grauiũ">grauium</expan>
              .</s>
            </p>
            <p type="main">
              <s id="s.002319">Secundò, ſi fieri poteſt, eodem tempore T percur­
                <lb/>
              rat A minus ſpatium D, quàm F tranſactum à minori
                <lb/>
              corpore B; & ſumatur
                <expan abbr="tertiũ">tertium</expan>
              corpus G
                <expan abbr="homogeneũ">homogeneum</expan>
                <lb/>
              ipſis A, & B, ſed maius, quàm A, quod partes ſit ip­
                <lb/>
              ſius B; patet corpora B, G æquè velocia eſſe, igitur
                <lb/>
                <expan abbr="eodẽ">eodem</expan>
                <expan abbr="tẽpore">tempore</expan>
              T maius corpus G percurrit maius ſpa­
                <lb/>
              tium F, dùm minus corpus A pertranſit minus ſpa­
                <lb/>
              tium D; quod eſt abſurdum, & contra hypotheſim,
                <lb/>
              debuerat enim maius corpus minus ſpatium, ſeù tar­
                <lb/>
              diori velocitate excurrere. </s>
              <s id="s.002320">Quare corpus maius A,
                <lb/>
              neque celeriùs, neque tardiùs deſcendet, quàm B,
                <lb/>
              proindeque eadem velocitate feretur; quod erat &c. </s>
            </p>
            <p type="main">
              <s id="s.002321">
                <emph type="center"/>
              PROP. CCIX.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002322">
                <emph type="center"/>
                <emph type="italics"/>
              Duo corpora heterogenea æquè grauia comprehenſa ab æqua­
                <lb/>
              libus perimetris figurarum ſimilium, & æqualium; in eo­
                <lb/>
              dem medio fluido æquè velocitèr deſcendent ſi in ipſo mo­
                <lb/>
              tu ſimilitèr diſpoſit a fuerint;
                <expan abbr="idẽque">idemque</expan>
              in vacuo continget.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002323">SInt duo corpora heterogenea A, & B, æquè gra­
                <lb/>
              uia, comprehendanturque ambo ab æqualibus
                <lb/>
              ſuperficiebus ſphæricis, vt nimirum pila A ſit lignea,
                <lb/>
              & plena, altera verò B ſit phiala vitrea, cuius pars
                <lb/>
              extima CD ſolida ſit,
                <expan abbr="comprehẽſa">comprehenſa</expan>
              à duabus ſphæricis
                <lb/>
              figuris, pars verò inteſtina B ſit excauata, & ab aere
                <lb/>
              repleta, dico, quod hæc duo corpora in eodem me­
                <lb/>
              dio fluido aereo v.g. æquali velocitate deſcendent. </s>
            </p>
            <p type="main">
              <s id="s.002324">Quoniam, vt dictum eſt cap. 2. huius operis, cor-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>