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.000470">
                <pb pagenum="96" xlink:href="010/01/104.jpg"/>
                <arrow.to.target n="marg112"/>
                <lb/>
              inertia reſiſtit impulſui impellentis corporis leuis A;
                <lb/>
              ergò ex
                <expan abbr="demõ">demom</expan>
              ſtratis in libro de vi percuſſionis
                <expan abbr="eadẽ">eadem</expan>
                <lb/>
              vis motiua leuitatis ipſius A communicatur, &
                <expan abbr="expã-ditur">expan­
                  <lb/>
                ditur</expan>
              per vniuerſum corpus motum, ſcilicèt per flui­
                <lb/>
              dum B, igitur eius impetus D valdè debilitatur re­
                <lb/>
              tardaturque, ſitque diminuta velocitas E, qua ni­
                <lb/>
              mirùm lignum leue A, & fluidum B mouentur. </s>
              <s id="s.000471">pari
                <lb/>
              ratione ſit F velocitas retardata, qua idem lignum̨
                <lb/>
              A nec non moles hydrargyri C ſibi æquali agitatur.
                <lb/>
              </s>
              <s id="s.000472">Oſtendendum eſt quòd velocitas, E qua nimirum li­
                <lb/>
              gnum aſcendit per aquam maior ſit velocitate F quà
                <lb/>
              lignum per mercurium eleuatur, & habere veloci­
                <lb/>
              tatem E ad F reciprocè ferè eamdem proportionem,
                <lb/>
                <figure id="id.010.01.104.1.jpg" xlink:href="010/01/104/1.jpg" number="41"/>
                <lb/>
              quam habet corporea ſubſtantia
                <lb/>
              AC ad corpulentiam AB. </s>
              <s id="s.000473">Quia ab
                <lb/>
              eadem virtute motiua impelluntur
                <lb/>
              duo corpora A, & B à qua priùs in­
                <lb/>
              telligebatur moueri ſingularis maſ­
                <lb/>
              ſa lignea A cui naturalis gradus
                <lb/>
              impetus D conueniebat, igitur mo­
                <lb/>
              les corporea, & materialis duorum
                <lb/>
              corporum ſimul ſumptorum A & B
                <lb/>
              ad molem corpoream A reciprocè
                <lb/>
              eamdem proportionem habebit, quam eorum ve­
                <lb/>
                <arrow.to.target n="marg113"/>
                <lb/>
              locitates
                <expan abbr="habẽt">habent</expan>
              , & ideò
                <expan abbr="erũt">erunt</expan>
              vt D ad E. </s>
              <s id="s.000474">Simili ratio­
                <lb/>
              cinio vt moles corporea A ad molem corpoream AC
                <lb/>
              ita eſt velocitas F ad D, ergo ex æqualitate pertur­
                <lb/>
              bata corporea ſubſtantia AB, ad AC eamdem pro­
                <lb/>
              portionem habebit, quàm velocitas F ad E, eſt quę </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum