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

Table of figures

< >
[51. Figure]
[52. Figure]
[53. Figure]
[54. Figure]
[55. Figure]
[56. Figure]
[57. Figure]
[58. Figure]
[59. Figure]
[60. Figure]
[61. Figure]
[62. Figure]
[63. Figure]
[64. Figure]
[65. Figure]
[66. Figure]
[67. Figure]
[68. Figure]
[69. Figure]
[70. Figure]
[71. Figure]
[72. Figure]
[73. Figure]
[74. Figure]
[75. Figure]
[76. Figure]
[77. Figure]
[78. Figure]
[79. Figure]
[80. Figure]
< >
page |< < of 579 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <p type="main">
              <s id="s.000752">
                <pb pagenum="149" xlink:href="010/01/157.jpg"/>
                <arrow.to.target n="marg188"/>
                <lb/>
              AGC eiuſdem olei aſcendentis neceſſariò explana­
                <lb/>
              tam, imò excauatam fore; quia ex hypotheſi pondus
                <lb/>
              ſpecificum aquæ ambientis ſuperat ſpecificam gra­
                <lb/>
              uitatem olei ABC; iam ſi eſt moles aquæ collateralis
                <lb/>
              FQPC æqualis medietati olei BGC, proculdubio
                <lb/>
              aqua FQPC grauior erit oleo BGC, vel ſi moles inę­
                <lb/>
              quales ſunt, aquæ momentum ſuperat olei
                <expan abbr="momentũ">momentum</expan>
              ,
                <lb/>
              hiſce verò inæqualibus ponderibus ineumbunt, &
                <lb/>
              ſubijciuntur moles aquæ æque ponderantes, vel æ­
                <lb/>
              qualium momentorum, ergo in ſiphone compoſito
                <lb/>
              ex cylindri portione aquea VXKL, & ex cylindri
                <lb/>
              portione EIKL compoſita ex aqua, & oleo inæqua­
                <lb/>
              liter premuntur partes aquæ ſubiectæ GPXI. quæ li­
                <lb/>
              bram conſtituunt, nempè aqua CPXK maiori niſu
                <lb/>
              comprimitur ab aqua FQPC, quam aqua GCKI pre­
                <lb/>
              matur ab oleo BGC minus graui, & ideò ex coroll pr.
                <lb/>
              10. oleum BGC ſursùm impelletur ab aqua ſubiecta
                <lb/>
              GIKC, & talis expreſſio fiet (ex prop. 51.) tanta vi,
                <lb/>
              quanta eſt grauitas exceſſus ponderis aquæ FQPC
                <lb/>
              ſupra grauitatem olei BGC. </s>
              <s id="s.000753">præterea quia aqua in­
                <lb/>
              ter EB, & LC dum fertur deorſum ad occupandum̨
                <lb/>
              ſpatium ab aſcendente oleo derelictum, neceſſariò
                <lb/>
              comprimit contunditque ſuperficiem collateralem̨
                <lb/>
              olei BC non duri, ſed cedentis, eſtque motus obli­
                <lb/>
              quus per ſuperficiem decliuem BC, ergo ſpatium̨,
                <lb/>
              ſeù alueus, per quod incumbens aqua pertranſirę
                <lb/>
              debet comprehenſum à ſuperficie aquæ FCK dire­
                <lb/>
              cto, & non impedito motu fluentis, & inclinatam de­
                <lb/>
              cliuemque olei BC ſuperficiem, continentèr magis </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>