Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
191
191 		192
192
193
193 		194
194
195
195 		196
196
197
197 		198
198
199
199 		200
200
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/197.jpg" pagenum="169"/>
                  cularem ac ſi ſimul & ſemel in locum interſectionis æquatorum
                    <lb/>
                    <arrow.to.target n="note145"/>
                  motuum illorum, quos feorſim generarent, fuiſſent impreſſi. </s>
                  <s>
                    <lb/>
                  Globus igitur homogeneus & perfectus non retinet motus plures
                    <lb/>
                  diſtinctos, ſed impreſſos omnes componit & ad unum reducit, &
                    <lb/>
                  quatenus in ſe eſt, gyratur ſemper motu ſimplici & uniformi circa
                    <lb/>
                  axem unicum, inclinatione ſemper invariabili datum. </s>
                  <s>Sed nec vis
                    <lb/>
                  centripeta inclinationem axis, aut rotationis velocitatem mutare
                    <lb/>
                  poteſt. </s>
                  <s>Si Globus plano quocunque, per centrum ſuum & cen­
                    <lb/>
                  trum in quod vis dirigitur tranſeunte, dividi intelligatur in duo he­
                    <lb/>
                  miſphæria; urgebit ſemper vis illa utrumque hemiſphærium æqua­
                    <lb/>
                  liter, & propterea Globum, quoad motum rotationis, nullam in
                    <lb/>
                  partem inclinabit. </s>
                  <s>Addatur vero alicubi inter polum & æquato­
                    <lb/>
                  rem materia nova in formam montis cumulata, & hæc, perpetuo
                    <lb/>
                  conatu recedendi a centro ſui motus, turbabit motum Globi, fa­
                    <lb/>
                  cietque polos ejus errare per ipſius ſuperficiem, & circulos circum
                    <lb/>
                  ſe punctumque ſibi oppoſitum perpetuo deſcribere. </s>
                  <s>Neque corrige­
                    <lb/>
                  tur iſta vagationis enormitas, niſi locando montem illum vel in polo
                    <lb/>
                  alterutro, quo in Caſu (per Corol. </s>
                  <s>21) Nodi æquatoris progredien­
                    <lb/>
                  tur; vel in æquatore, qua ratione (per Corol. </s>
                  <s>20) Nodi regredi­
                    <lb/>
                  entur; vel denique ex altera axis parte addendo materiam novam,
                    <lb/>
                  qua mons inter movendum libretur, & hoc pacto Nodi vel pro­
                    <lb/>
                  gredientur, vel recedent, perinde ut mons & hæcce nova materia
                    <lb/>
                  ſunt vel polo vel æquatori propiores. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note145"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LXVII. THEOREMA XXVII.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Poſitis iiſdem attractionum legibus, dico quod corpus exterius
                    <emph.end type="italics"/>
                  S,
                    <lb/>
                    <emph type="italics"/>
                  circa interiorum
                    <emph.end type="italics"/>
                  P, T
                    <emph type="italics"/>
                  commune gravitatis centrum
                    <emph.end type="italics"/>
                  C,
                    <emph type="italics"/>
                  radiis
                    <lb/>
                  ad centrum illud ductis, deſcribit areas temporibus magis pro­
                    <lb/>
                  portionales & Orbem ad formam Ellipſeos umbilicum in centro
                    <lb/>
                  eodem habentis magis accedentem, quam circa corpus intimum
                    <lb/>
                  & maximum
                    <emph.end type="italics"/>
                  T,
                    <emph type="italics"/>
                  radiis ad ipſum ductis, deſcribere potest.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam corporis
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  attractiones verſus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  componunt ipſius at­
                    <lb/>
                  tractionem abſolutam, quæ magis dirigitur in corporum
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  com­
                    <lb/>
                  mune gravitatis centrum
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  quam in corpus maximum
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  quæque
                    <lb/>
                  quadrato diſtantiæ
                    <emph type="italics"/>
                  SC
                    <emph.end type="italics"/>
                  magis eſt proportionalis reciproce, quam
                    <lb/>
                  quadrato diſtantiæ
                    <emph type="italics"/>
                  ST:
                    <emph.end type="italics"/>
                  ut rem perpendenti facile conſtabit. </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum