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

Table of figures

< >
[31. Figure]
[32. Figure]
[33. Figure]
[34. Figure]
[35. Figure]
[36. Figure]
[37. Figure]
[38. Figure]
[39. Figure]
[40. Figure]
[41. Figure]
[42. Figure]
[43. Figure]
[44. Figure]
[45. Figure]
[46. Figure]
[47. Figure]
[48. Figure]
[49. Figure]
[50. Figure]
[51. Figure]
[52. Figure]
[53. Figure]
[54. Figure]
[55. Figure]
[56. Figure]
[57. Figure]
[58. Figure]
[59. Figure]
[60. Figure]
< >
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"/>
                <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>