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

Page concordance

< >
Scan Original
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.001214">
                <pb pagenum="236" xlink:href="010/01/244.jpg"/>
                <arrow.to.target n="marg314"/>
                <lb/>
              na aerea FS æquali ipſi GS, tunc patet, quòd poten­
                <lb/>
              tiæ comprimentes mercurij FB, & aeris FS æquales
                <lb/>
              ſunt potentiæ eiuſdem mercurij FB, & aeris SG. </s>
              <s id="s.001215">Iam
                <lb/>
              dico, quod duplò validiori vi comprimitur aer DG
                <lb/>
              clauſo orificio G, & aperta ſummitate A, quàm illo
                <lb/>
              aperto, & hoc clauſo. </s>
              <s id="s.001216">Quia obturato vitro in A, & a­
                <lb/>
              perto in G ampulla aerea DG ſtringitur à duabus
                <lb/>
              oppoſitis potentijs, à mercurio nempè FB, & ab aeris
                <lb/>
                <arrow.to.target n="marg315"/>
                <lb/>
              columna SG, ergo vis, qua aerea veſica DG ſtringitur
                <lb/>
              æqualis eſt duabus poténtijs mercurij BF, & aeris SG,
                <lb/>
              ſeu duplò ponderis mercurij BF. è contra clauſo ori­
                <lb/>
              ſicio G, & aperto vitro in A duæ potentiæ mercurij
                <lb/>
              BF, & aeris SF comprimunt
                <expan abbr="aereã|veficã">aere a veſica</expan>
              DG in D, qui
                <lb/>
              aer innititur fundo ſtabili, nempè operculo G, igitur,
                <lb/>
              ex corollario præcedentis, propoſitionis vis, qua aer
                <lb/>
              DG ſtringitur æqualis eſt duplò
                <expan abbr="potẽtiarum">potentiarum</expan>
              mèrcu­
                <lb/>
              rij BF, & aeris SF, nempèl quadruplò potentiæ mer­
                <lb/>
              curij BF; igitur dupla vi, & energia
                <expan abbr="cõſtringitur">conſtringitur</expan>
              aer
                <lb/>
              DG clauſo orificio G, & aperto vitro in A, ac
                <expan abbr="cõpri-mebatur">compri­
                  <lb/>
                mebatur</expan>
              quando vitrum claudebatur in A, reſeraba­
                <lb/>
              tur verò in G. </s>
            </p>
            <p type="margin">
              <s id="s.001217">
                <margin.target id="marg314"/>
              Cap. 5. de ae
                <lb/>
              ris grauitate
                <lb/>
              æquilibrio,
                <lb/>
              ſtructura, &
                <lb/>
              vi elateria
                <lb/>
              eius.</s>
            </p>
            <p type="margin">
              <s id="s.001218">
                <margin.target id="marg315"/>
              Ex 1. parte
                <lb/>
              top. III. </s>
              <s id="s.001219">111.</s>
            </p>
            <p type="main">
              <s id="s.001220">Quod verò à maiori vi compreſſiua, nempè dupla
                <lb/>
              magis conſtringi, condenſarique debeat aer DG, &
                <lb/>
              proinde mercurius deprimatur infra ſupremam ele­
                <lb/>
              uationem F mirum profectò non eſt, imò iuxtà ordi­
                <lb/>
              nem naturæ, & neceſſitatem, qua operatur debet
                <lb/>
              mercurius in prædicto caſu aliquantulum deprimi, vt
                <lb/>
              exigit aeris natura, quæ dilatationi, & conſtrictioni
                <lb/>
              obnoxia eſt. </s>
              <s id="s.001221">Hinc conſtat ab aere
                <expan abbr="cõpreſſo">compreſſo</expan>
              DG pro-</s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>