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.000367">
                <pb pagenum="78" xlink:href="010/01/086.jpg"/>
                <arrow.to.target n="marg85"/>
                <lb/>
              aquæ deſcendentis, nam perſeuerante vertigine, ſci­
                <lb/>
              licèt translato centro grauitatis vltrà medium in O
                <lb/>
              ſemper ſemianulus EFG grauior eſſet, quàm GKE,
                <lb/>
              & propterea ille ſemper deſcenderet, hìc verò ſem­
                <lb/>
              per aſcenderet, proindeque anulus excurreret mo­
                <lb/>
              tu perpetuo progreſſiuo, quod eſt falſum. </s>
              <s id="s.000368">perſiſtit
                <lb/>
              ergo centrum grauitatis ſemper in centro N anuli,
                <lb/>
              ſiue aqua in eo contenta quieſcat, ſiuè circumduca­
                <lb/>
              tur, nam ob continguitatem partium aquæ non poteſt
                <lb/>
              moueri vna pars aquæ F v. g. quin vniuerſa aquą
                <lb/>
              EKG æquali velocitate reuoluatur, proindeque
                <expan abbr="">non</expan>
                <lb/>
              vnica pars tantùm, ſed aqua tota
                <expan abbr="impulsũ">impulsum</expan>
              , & impe­
                <lb/>
              tum acquirit, non ſecùs ac rota lignea tota ſimul ic­
                <lb/>
              tum recipit atque circa
                <expan abbr="cẽtrum">centrum</expan>
              grauitatis eius æqui­
                <lb/>
              libratur, pari modo aqua contenta in vaſe AC ante
                <lb/>
              præmiſſæ figuræ, licèt ſit fluida, habet tamen pun­
                <lb/>
              ctum M circa quod partes habent æqualia momenta,
                <lb/>
              perinde ergo ſe habent ac ſi vniuerſa aqua in prædi­
                <lb/>
              cto vaſe contenta dura eſſet, & conſiſtens vt rota li­
                <lb/>
              gnea, vel intra fiſtulam anularem EFKG contentą
                <lb/>
              eſſet in qua reuoluta, ſiue quieſcente rota, aut aqua
                <lb/>
              ſemper centrum grauitatis eius in eodem ſitu perſe­
                <lb/>
              uerare debet, & proinde libra HL quieſcet in
                <expan abbr="eodẽ">eodem</expan>
                <lb/>
              ſitu horizontali. </s>
              <s id="s.000369">Igitur dubitandum non eſt aquam̨
                <lb/>
              in ſuo toto collocatam, grauitatem exercere, ſiuè illa
                <lb/>
              omninò ibidem quieſcat, ſiuè quomodolibet agite­
                <lb/>
              tur, & circumuoluatur. </s>
            </p>
          </chap>
        </body>
      </text>
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