Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
341
341
342
342
343
343
344
344
345
345
346
346
347
347
348
348
349
349
350
350
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/346.jpg" pagenum="318"/>
                    <lb/>
                    <arrow.to.target n="note294"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note294"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Hæc eſt reſiſtentia quæ oritur ab inertia materiæ Fluidi. </s>
                  <s>Ea
                    <lb/>
                  vero quæ oritur ab elaſticitate, tenacitate, & frictione partium
                    <lb/>
                  ejus, ſic inveſtigabitur.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>Demittatur Globus ut pondere ſuo B in Fluido deſcendat;
                    <lb/>
                  & ſit P tempus cadendi, idQ.E.I. minutis ſecundis ſi tempus
                    <lb/>
                  G in minutis ſecundis habeatur. </s>
                  <s>Inveniatur numerus abſo­
                    <lb/>
                  lutus N qui congruit Logarithmo 0,4342944819(2P/G), ſitque L
                    <lb/>
                  Logarithmus numer; (N+1/N): & velocitas cadendo acquiſita erit
                    <lb/>
                  (N-1/N+1)H, altitudo autem deſcripta erit (2PF/G)-1,3862943611 F+
                    <lb/>
                  4,605170186LF. Si Fluidum ſatis profundum ſit, negligi poteſt
                    <lb/>
                  terminus 4,605170186LF; & erit (2PF/G)-1,3862943611 F altitude
                    <lb/>
                  deſcripta quamproxime. </s>
                  <s>Patent hæc per Libri ſecundi Propo­
                    <lb/>
                  ſitionem nonam & ejus Corollaria, ex Hypotheſi quod Glo­
                    <lb/>
                  bus nullam aliam patiatur reſiſtentiam niſi quæ oritur ab inertia
                    <lb/>
                  materiæ. Si vero aliam inſuper reſiſtentiam patiatur, deſcen­
                    <lb/>
                  ſus erit tardior, & ex retardatione innoteſcet quantitas hujus re­
                    <lb/>
                  ſiſtentiæ.
                    <lb/>
                  </s>
                </p>
                <p type="main">
                  <s>Ut corporis in Fluido cadentis velocitas & deſcenſus facilius in­
                    <lb/>
                  noteſcant, compoſui Tabulam ſequentem, cujus columna prima
                    <lb/>
                  denotat tempora deſcenſus, ſecunda exhibet velocitates cadendo
                    <lb/>
                  acquiſitas exiſtente velocitate maxima 100000000, tertia exhibet
                    <lb/>
                  ſpatia temporibus illis cadendo deſcripta, exiſtente 2 F ſpatio quod
                    <lb/>
                  corpus tempore G cum velocitate maxima deſcribit, & quarta ex­
                    <lb/>
                  hibet ſpatia iiſdem temporibus cum velocitate maxima deſcripta.
                    <lb/>
                  Numeri in quarta columna ſunt (2P/G), & ſubducendo numerum
                    <lb/>
                  1,3862944-4,6051702 L, inveniuntur numeri in tertia columna, &
                    <lb/>
                  multiplicandi ſunt hi numeri per ſpatium F ut habeantur ſpatia
                    <lb/>
                  cadendo deſcripta. </s>
                  <s>Quinta his inſuper adjecta eſt columna, quæ
                    <lb/>
                  continet ſpatia deſcripta iiſdem temporibus a corpore, vi ponderis
                    <lb/>
                  ſui comparativi B, in vacuo cadente. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>