Casati, Paolo, Terra machinis mota : dissertationes geometricae, mechanicae physicae hydrostaticae
page |< < of 241 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s>
                <pb xlink:href="018/01/167.jpg" pagenum="153"/>
              communi ponderaueris idem vas plenum̨
                <lb/>
                <expan abbr="aẽre">aëre</expan>
              ignito, ponderum differentia non eſt
                <lb/>
              pondus aëris communis æolipilam implen­
                <lb/>
              tis. </s>
            </p>
            <p type="main">
              <s>Exemplo rem declaro: & accipio illud
                <lb/>
              idem vas cupreum AR, de quo antea dixi­
                <lb/>
              mus, quod cum in aëre ſit lib. 100, intrà
                <lb/>
              aquam plenum aquâ eſſet lib (88 52/71), ſed intrà
                <lb/>
              aquam plenum aëre ſolùm eſſet lib. 20; vn­
                <lb/>
              de intulimus aquæ vas implentis pondus iņ
                <lb/>
              aëre eſſe lib. (68 52/71). Ponamus ſacoma eſſę
                <lb/>
              ferreum, & illud pariter intrà aquam exiſte­
                <lb/>
              re. </s>
              <s>Quoniam igitur ferrum 36 2/3 in aërę,
                <lb/>
              æquiponderat ferro 42 in aquâ, ferrum (88 52/71)
                <lb/>
              in aëre, æquiponderabit ferro (101 499/781) in aquâ;
                <lb/>
              & hoc faciet æquilibrium cum vaſe cupreo
                <lb/>
              pleno aquâ. </s>
              <s>Item quia ferrum 36 2/3 in aëre
                <lb/>
              æquiponderat ferro 42 in aquâ, ferrum 20
                <lb/>
              in aëre æquiponderabit ferro (22 10/11) in aquâ; &
                <lb/>
              hoc conſtituet æquilibrium cum vaſe cupreo
                <lb/>
              pleno aëre intrà aquam. </s>
              <s>Iam ſumo diffe­
                <lb/>
              rentiam inter duo hæc ſacomata, quæ ſunt
                <lb/>
              vt (101 499/781) ad (22 10/11), & eſt differentia lib. (78 580/781);
                <lb/>
              quod ſanè non eſt pondus aquæ vaſis capa­
                <lb/>
              citatem implentis, ſi illa in aëre ponderetur,
                <lb/>
              ſed eſt multò maius. </s>
              <s>Pro diuersâ autem̨
                <lb/>
              materiâ ſiue plumbeâ, ſiue æreâ, ſiue argen­</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>