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

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    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.002358">
                <pb pagenum="451" xlink:href="010/01/459.jpg"/>
                <arrow.to.target n="marg607"/>
                <lb/>
              corpus A ſolitarium, igitur grauius corpus
                <expan abbr="nẽ">nem</expan>
              pè ag­
                <lb/>
              gregatum ex A, & B percurret eodem
                <expan abbr="tẽpore">tempore</expan>
              G ſpa­
                <lb/>
              tium CF minus quidem, quàm CD tranſactum à ſoli­
                <lb/>
              tario corpore A minùs graui, quod repugnat hypo­
                <lb/>
              theſi; grauius enim in vacuo deſcendere debuerat
                <lb/>
              velociori motu, quàm minùs graue. </s>
              <s id="s.002359">Non ergo fieri
                <lb/>
              poteſt vt corpus grauius in vacuo celeriùs, quàm mi­
                <lb/>
              nùs graue feratur. </s>
            </p>
            <p type="margin">
              <s id="s.002360">
                <margin.target id="marg605"/>
              Cap. 10. de
                <lb/>
              æquitempo­
                <lb/>
              ranea natu­
                <lb/>
              rali veloci­
                <lb/>
              tate
                <expan abbr="grauiũ">grauium</expan>
              .</s>
            </p>
            <p type="margin">
              <s id="s.002361">
                <margin.target id="marg606"/>
              De vi per­
                <lb/>
              cuſs. </s>
              <s id="s.002362">cap. 5.
                <lb/>
              axio. </s>
              <s id="s.002363">3
                <gap/>
              </s>
            </p>
            <p type="margin">
              <s id="s.002364">
                <margin.target id="marg607"/>
              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.002365">Secundo loco ſit grauius corpus A, ſi fieri poteſt,
                <lb/>
              minùs velox, quàm B, ſcilicèt A percurrat minus ſpa­
                <lb/>
              tium CE, ſed B maius ſpatium CD eodem
                <expan abbr="tẽpore">tempore</expan>
              G;
                <lb/>
              & ſi cutiant ea dictum eſt, duo corpora A, & B ſimùl
                <lb/>
                <arrow.to.target n="marg608"/>
                <lb/>
              connexa velociora erunt pigriore corpore A, & ideò
                <lb/>
              corpus grauius, ſcilicèt aggregatum ex A, & B velo­
                <lb/>
              ciùs
                <expan abbr="deſcẽdet">deſcendet</expan>
              , quàm minùs graue A, quod rursùs hy­
                <lb/>
              pothe ſi repugnat, non igitur eſt poſſibile vt corpus
                <lb/>
              magis ponderoſum in vacuo citiùs, aut tardiùs
                <expan abbr="deſcẽ-dat">deſcen­
                  <lb/>
                dat</expan>
              , quàm minus graue; quare neceſsè eſt, vt ambo
                <lb/>
              æquali velocitate in vacuo ferantur, quod fuerat de­
                <lb/>
              monſtrandum. </s>
            </p>
            <p type="margin">
              <s id="s.002366">
                <margin.target id="marg608"/>
              Ibidem.</s>
            </p>
            <p type="main">
              <s id="s.002367">
                <emph type="center"/>
              PROP. CCXIII.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002368">
                <emph type="center"/>
                <emph type="italics"/>
              Idipſum aliter demonſtrabitur.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.002369">SIt corpus BC grauius, quàm A; dico in vacuo ea­
                <lb/>
              dem velocitate ambo deſcenſura. </s>
              <s id="s.002370">Reſecetur ex
                <lb/>
              ponderoſiori BC portio aliqua B æquè ponderans, ac
                <lb/>
                <arrow.to.target n="marg609"/>
                <lb/>
              A, igitur licèt æquiponderantia corpora B, & A inæ­
                <lb/>
              quales moles habebant ęquè velocia erunt in vacuo; </s>
            </p>
          </chap>
        </body>
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    </archimedes>