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.000772">
                <pb pagenum="154" xlink:href="010/01/162.jpg"/>
                <arrow.to.target n="marg194"/>
                <lb/>
              premam partem ipſius pilæ, quod eſt ſignum euidens
                <lb/>
              nullam vim compreſſiuam pati ab aere ſuperincum­
                <lb/>
              bente. </s>
            </p>
            <p type="margin">
              <s id="s.000773">
                <margin.target id="marg194"/>
              Cap. 4. poſi­
                <lb/>
              tiuam leui­
                <lb/>
              tatem noņ
                <lb/>
              dari.</s>
            </p>
            <p type="main">
              <s id="s.000774">
                <emph type="center"/>
              PROP. LXXVI.
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000775">
                <emph type="center"/>
                <emph type="italics"/>
              Si oleum, vel aer aſcenderet in aqua ſponte à vi ſuæ leui­
                <lb/>
              tatis impulſus non poſſet eius baſis excauari ad inſtar
                <lb/>
              ſcutellæ.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
            <p type="main">
              <s id="s.000776">TAndem demonſtrandum eſt po­
                <lb/>
                <figure id="id.010.01.162.1.jpg" xlink:href="010/01/162/1.jpg"/>
                <lb/>
              ſito, quòd aer, vel oleum ABCH
                <lb/>
              aſcenderet in ipſa aqua à propria, &
                <lb/>
              intrinſeca virtute leuitatis impulſum,
                <lb/>
              quod eſſet abſolutè impoſſibile, vt e­
                <lb/>
              ius baſis infima excauata eſſet ad mo­
                <lb/>
              dum ſcutellæ; quia ex aduerſarij hypo­
                <lb/>
              theſi oleum ABCH aſcendit in aqua contenta in fi­
                <lb/>
              ſtula ſtricta RSVX propria virtute leuitatis ab I ver­
                <lb/>
              sùs E, nec ab aqua infima impellitur exprimiturque
                <lb/>
              ſursùm, ergò aqua MACK, quæ currit ad
                <expan abbr="replendũ">replendum</expan>
                <lb/>
              ſpatium derelictum ab oleo cum ſit ex ſui natura gra­
                <lb/>
              uis exercet vim ſui ponderis ab H verſus I premen­
                <lb/>
              do præcisè ſuper
                <expan abbr="fundũ">fundum</expan>
              vitri RX, & nullo pacto vim
                <lb/>
              exercere poteſt ſursùm ab l versùs H, hoc enim eſſet
                <lb/>
              contra grauium naturam, & contra ipſam aduerſarij
                <lb/>
              hypotheſim. </s>
              <s id="s.000777">Præterea quia oleum ABCH, & aqua
                <lb/>
              ambiens motibus contrarijs agitari debent, nempè
                <lb/>
              oleum, vt leue, aſcendet dum aqua ambiens
                <expan abbr="deſcẽ-det">deſcen­
                  <lb/>
                det</expan>
              , igitur non ſibi occurrunt, & aduerſantur, ſed ab </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>