Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
521
521
522
522
523
523
524
524
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <pb xlink:href="039/01/522.jpg"/>
            <p type="main">
              <s>Velocitas maxima quam Globus, in Medio re­
                <lb/>
              ſiſtente cadendo, poteſt acquirere II, 38,
                <lb/>
              Cor. </s>
              <s>2 </s>
            </p>
            <p type="main">
              <s>Velocitates corporum in Sectionibus conicis mo­
                <lb/>
              torum, ubi vires centripetæ ad umbilicum
                <lb/>
              tendunt I, 16 </s>
            </p>
            <p type="main">
              <s>Veneris </s>
            </p>
            <p type="main">
              <s>diſtantia a Sole 361, 1 </s>
            </p>
            <p type="main">
              <s>tempus periodicum 370, 23 </s>
            </p>
            <p type="main">
              <s>Aphelii motus 376, 33 </s>
            </p>
            <p type="main">
              <s>Virium compoſitio & reſolutio p. </s>
              <s>14 </s>
            </p>
            <p type="main">
              <s>Vires attractivæ corporum </s>
            </p>
            <p type="main">
              <s>ſphærieorum ex particulis quacunque lege
                <lb/>
              trahentibus compoſitorum, expenduntur
                <lb/>
              I, Sect. </s>
              <s>12 </s>
            </p>
            <p type="main">
              <s>non ſphærieorum ex particulis quacunque
                <lb/>
              lege trahentibus compoſitorum, expendun­
                <lb/>
              tur I, Sect. </s>
              <s>13 </s>
            </p>
            <p type="main">
              <s>Vis centrifuga corporum in Æquatore Terræ
                <lb/>
              quanta ſit 379. 22 </s>
            </p>
            <p type="main">
              <s>Vis centripeta deſinitur p. </s>
              <s>2 </s>
            </p>
            <p type="main">
              <s>quantitas ejus abſoluta definitur p. </s>
              <s>4 </s>
            </p>
            <p type="main">
              <s>quantitas acceleratrix definitur, p. </s>
              <s>4 </s>
            </p>
            <p type="main">
              <s>quantitas motrix definitur p. </s>
              <s>4 </s>
            </p>
            <p type="main">
              <s>proportio ejus ad vim quamlibet notam, qua
                <lb/>
              ratione colligenda ſit, oſtenditur 40, 1 </s>
            </p>
            <p type="main">
              <s>Virium centripetarum inventio, ubi corpus in
                <lb/>
              ſpatio non reſiſtente, circa centrum immo­
                <lb/>
              bile, in Orbe quocunque revolvitur I, 6: I,
                <lb/>
              Sect. </s>
              <s>2 & 3 </s>
            </p>
            <p type="main">
              <s>Viribus centripetis datis ad quodcunque pun­
                <lb/>
              ctum tendentibus, quibus Figura quævis a
                <lb/>
                <lb/>
              corpore revolvente deſcribi poteſt; dantur
                <lb/>
              vires centripetæ ad aliud quodvis punctum
                <lb/>
              tendentes, quibus eadem Figura eodem tem­
                <lb/>
              pore periodico deſcribi poteſt 44, 3 </s>
            </p>
            <p type="main">
              <s>Viribus centripetis datis quibus Figura qurvis
                <lb/>
              deſcribitur a corpore revolvente; dantur vires
                <lb/>
              quibus Figura nova deſcribi poteſt, ſi Ordi­
                <lb/>
              natæ augeantur vel minuantur in ratione qua­
                <lb/>
              cunQ.E.D.ta, vel angulus Ordinationis utcun­
                <lb/>
              que mutetur, manente tempore periodico
                <lb/>
              47, 28 </s>
            </p>
            <p type="main">
              <s>Viribus centripetis in duplicata ratione diſtantia­
                <lb/>
              rum decreſcentibus, quænam Figura deſcribi
                <lb/>
              poſſunt, oſtenditur 53, 1: 150, 8 </s>
            </p>
            <p type="main">
              <s>Vicentripeta </s>
            </p>
            <p type="main">
              <s>quæ ſit reciproce ut cubus ordinatim applica­
                <lb/>
              tæ tendentis ad centrum virium maxime
                <lb/>
              longinquum, corpus movebitur in data
                <lb/>
              quavis coni ſectione 45, 1 </s>
            </p>
            <p type="main">
              <s>quæ ſit ut cubus ordinatim applicatæ tenden­
                <lb/>
              tis ad centrum virium maxime longinquum,
                <lb/>
              corpus movebitur in Hyperbola 202, 26 </s>
            </p>
            <p type="main">
              <s>Umbra Terreſtris in Eclipſibus Lunæ augenda eſt,
                <lb/>
              propter Atmoſphæræ refractionem 425, 27 </s>
            </p>
            <p type="main">
              <s>Umbræ Terreſtris dian etri non ſunt æquales;
                <lb/>
              quanta ſit differentia oſtenditur 387, 8 </s>
            </p>
            <p type="main">
              <s>Undarum in aquæ ſtagtantis ſuperficie propa­
                <lb/>
              gatarum velocitas invenitur II, 46 </s>
            </p>
            <p type="main">
              <s>Vorticum natura & conſtitutio ad examen re­
                <lb/>
              vocatur II, Sect. </s>
              <s>9: 481, 21 </s>
            </p>
            <p type="main">
              <s>
                <emph type="italics"/>
              Ut.
                <emph.end type="italics"/>
              Hujus voculæ fignificatio Mathematica de­
                <lb/>
              fiuitur 30, 19. </s>
            </p>
            <p type="main">
              <s>
                <emph type="center"/>
                <emph type="italics"/>
              FINIS.
                <emph.end type="italics"/>
                <emph.end type="center"/>
              </s>
            </p>
          </chap>
        </body>
      </text>
    </archimedes>