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

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