Newton, Isaac, Philosophia naturalis principia mathematica, 1713

List of thumbnails

< >
451
451 		452
452
453
453 		454
454
455
455 		456
456
457
457 		458
458
459
459 		460
460
< >
page |< < of 524 > >|
    <archimedes>
      <text>
        <body>
          <chap>
            <subchap1>
              <subchap2>
                <p type="main">
                  <s>
                    <pb xlink:href="039/01/460.jpg" pagenum="432"/>
                    <arrow.to.target n="note461"/>
                  diametrum Terræ conjunctim; id eſt, ut 39,371 ad 1 & 100 ad
                    <lb/>
                  365 conjunctim, ſeu 1079 ad 100. Unde cum Mare noſtrum vi
                    <lb/>
                  Lunæ attollatur ad pedes 8 2/3, fluidum Lunare vi Terræ attolli de­
                    <lb/>
                  beret ad pedes 93 1/2. EaQ.E.D. cauſa Figura Lunæ Sphærois eſſet,
                    <lb/>
                  cujus maxima diameter producta tranſiret per centrum Terræ, &
                    <lb/>
                  ſuperaret diametros perpendiculares exceſſu pedum 187. Talem
                    <lb/>
                  igitur Figuram Luna affectat, eamque ſub initio induere debuit.
                    <lb/>
                    <emph type="italics"/>
                    <expan abbr="q.">que</expan>
                  E. I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note461"/>
                  DE MUNDI
                    <lb/>
                  SYSTEMATE</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  Inde vero fit ut eadem ſemper Lunæ facies in Terram
                    <lb/>
                  obvertatur. </s>
                  <s>In alio enim ſitu corpus Lunare quieſcere non po­
                    <lb/>
                  teſt, ſed ad hunc ſitum oſcillando ſemper redibit. </s>
                  <s>Attamen oſcil­
                    <lb/>
                  lationes, ob parvitatem virium agitantium, eſſent longè tardiſſimæ:
                    <lb/>
                  adeo ut facies illa, quæ Terram ſemper reſpicere deberet, poſſit
                    <lb/>
                  alterum orbis Lunaris umbilicum, ob rationem in Prop. </s>
                  <s>XVII. alla­
                    <lb/>
                  tam reſpicere, neque ſtatim abinde retrahi & in Terram converti. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  LEMMA I.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Si
                    <emph.end type="italics"/>
                  APEp
                    <emph type="italics"/>
                  Terram deſignet uniformiter denſam, centroque
                    <lb/>
                  C & Polis
                    <emph.end type="italics"/>
                  P, p
                    <emph type="italics"/>
                  & Æquatore
                    <emph.end type="italics"/>
                  AE
                    <emph type="italics"/>
                  delineatam; & ſi centro
                    <emph.end type="italics"/>
                  C
                    <lb/>
                    <emph type="italics"/>
                  radio
                    <emph.end type="italics"/>
                  CP
                    <emph type="italics"/>
                  deſcribi intelligatur Sphæra
                    <emph.end type="italics"/>
                  Pape;
                    <emph type="italics"/>
                  ſit autem
                    <emph.end type="italics"/>
                  QR
                    <emph type="italics"/>
                  pla­
                    <lb/>
                  num, cui recta a centro Solis ad centrum Terræ ducta normaliter
                    <lb/>
                  inſiſtit; & Terræ totius exterioris
                    <emph.end type="italics"/>
                  PapAPepE,
                    <emph type="italics"/>
                  quæ Sphæra
                    <lb/>
                  modo deſcripta altior eſt, particulæ ſingulæ conentur recedere hinc
                    <lb/>
                  inde a plano
                    <emph.end type="italics"/>
                  QR,
                    <emph type="italics"/>
                  ſitque conatus particulæ cujuſque ut ejuſdem
                    <lb/>
                  diſtantia a plano: Dico primo, quod tota particularum omnium, in
                    <lb/>
                  Æquatoris circulo
                    <emph.end type="italics"/>
                  AE,
                    <emph type="italics"/>
                  extra globum uniformiter per totum cir­
                    <lb/>
                  cuitum in morem annuli diſpoſitarum, vis & efficacia ad Terram
                    <lb/>
                  circum centrum ejus rotandam, ſit ad totam particularum totidem
                    <lb/>
                  in Æquatoris puncto
                    <emph.end type="italics"/>
                  A,
                    <emph type="italics"/>
                  quod a plano
                    <emph.end type="italics"/>
                  QR
                    <emph type="italics"/>
                  maxime diſtat, con­
                    <lb/>
                  ſiſtentium vim & efficaciam, ad Terram conſimili motu circulari
                    <lb/>
                  circum centrum ejus movendam, ut unum ad duo. </s>
                  <s>Et motus iſte
                    <lb/>
                  circularis circum axem, in communi ſectione Æquatoris & plani
                    <emph.end type="italics"/>
                    <lb/>
                  QR
                    <emph type="italics"/>
                  jacentem, peragetur.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Nam centro
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  diametro
                    <emph type="italics"/>
                  BD
                    <emph.end type="italics"/>
                  deſcribatur ſemicirculus
                    <lb/>
                    <emph type="italics"/>
                  BAFDC.
                    <emph.end type="italics"/>
                  Dividi intelligatur ſemicircum ferentia
                    <emph type="italics"/>
                  BAD
                    <emph.end type="italics"/>
                  in </s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum