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="039/01/192.jpg" pagenum="164"/>
                    <arrow.to.target n="note140"/>
                  dente. </s>
                  <s>Et ſimili ratiocinio, inclinatio magis augetur quam diminui­
                    <lb/>
                  tur ubi Nodi ſunt in Octantibus alteris inter
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  D, B
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  C.
                    <emph.end type="italics"/>
                  In­
                    <lb/>
                  clinatio igitur ubi Nodi ſunt in Syzygiis eſt omnium maxima. </s>
                  <s>In
                    <lb/>
                  tranſitu eorum a Syzygiis ad Quadraturas, in ſingulis corporis ad
                    <lb/>
                  Nodos appulſibus, diminuitur, fitque omnium minima ubi Nodi
                    <lb/>
                  ſunt in Quadraturis & corpus in Syzygiis: dein creſcit iiſdem gra­
                    <lb/>
                  dibus quibus antea decreverat, Nodiſque ad Syzygias proximas ap­
                    <lb/>
                  pulſis ad magnitudinem primam revertitur. </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note140"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  11. Quoniam corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  ubi Nodi ſunt in Quadraturis per­
                    <lb/>
                  petuo trahitur de plano Orbis ſui, idQ.E.I. partem verſus
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  in
                    <lb/>
                  tranſitu ſuo a Nodo
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  per Conjunctionem
                    <emph type="italics"/>
                  A
                    <emph.end type="italics"/>
                  ad Nodum
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  ; & in
                    <lb/>
                  contrariam partem in tranſitu a Nodo
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  per Oppoſitionem
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                  Nodum
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ; manifeſtum eſt quod in motu ſuo a Nodo
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  corpus
                    <lb/>
                  perpetuo recedit ab Orbis ſui plano primo
                    <emph type="italics"/>
                  CD,
                    <emph.end type="italics"/>
                  uſQ.E.D.m per­
                    <lb/>
                  ventum eſt ad Nodum proximum; adeoQ.E.I. hoc Nodo, longiſſi­
                    <lb/>
                  me diſtans a plano illo primo
                    <emph type="italics"/>
                  CD,
                    <emph.end type="italics"/>
                  tranſit per planum Orbis
                    <emph type="italics"/>
                  EST
                    <emph.end type="italics"/>
                    <lb/>
                  non in plani illius Nodo altero
                    <emph type="italics"/>
                  D,
                    <emph.end type="italics"/>
                  ſed in puncto quod inde vergit
                    <lb/>
                  ad partes corporis
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  quodque proinde novus eſt Nodi locus in an­
                    <lb/>
                  teriora vergens. </s>
                  <s>Et ſimili argumento pergent Nodi recedere in
                    <lb/>
                  tranſitu corporis de hoc Nodo in Nodum proximum. </s>
                  <s>Nodi igi­
                    <lb/>
                  tur in Quadraturis conſtituti perpetuo recedunt; in Syzygiis (ubi
                    <lb/>
                  motus in Latitudinem nil perturbatur) quieſcunt; in locis inter­
                    <lb/>
                  mediis, conditionis utriuſque participes, recedunt tardius; adeoque,
                    <lb/>
                  ſemper vel retrogradi vel ſtationarii, ſingulis revolutionibus ferun­
                    <lb/>
                  tur in antecedentia. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  12. Omnes illi in his Corollariis deſcripti Errores ſunt pau­
                    <lb/>
                  lo majores in Conjunctione corporum
                    <emph type="italics"/>
                  P, S
                    <emph.end type="italics"/>
                  quam in eorum Op­
                    <lb/>
                  poſitione, idque ob majores vires generantes
                    <emph type="italics"/>
                  NM
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  ML.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  13. Cumque rationes horum Corollariorum non pendeant
                    <lb/>
                  a magnitudine corporis
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  obtinent præcedentia omnia, ubi corporis
                    <lb/>
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  tanta ſtatuitur magnitudo ut circa ipſum revolvatur corporum duo­
                    <lb/>
                  rum
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  Syſtema. </s>
                  <s>Et ex aucto corpore
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  auctaque adeo ipſius
                    <lb/>
                  vi centripeta, a qua errores corporis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  oriuntur, evadent errores illi
                    <lb/>
                  omnes (paribus diſtantiis) majores in hoc caſu quam in altero, ubi
                    <lb/>
                  corpus
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  circum Syſtema corporum
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  revolvitur. </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  14. Cum autem vires
                    <emph type="italics"/>
                  NM, ML,
                    <emph.end type="italics"/>
                  ubi corpus
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  longin­
                    <lb/>
                  quum eſt, ſint quamproxime ut vis
                    <emph type="italics"/>
                  SK
                    <emph.end type="italics"/>
                  & ratio
                    <emph type="italics"/>
                  PT
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ST
                    <emph.end type="italics"/>
                  con­
                    <lb/>
                  junctim, hoc eſt, ſi detur tum diſtantia
                    <emph type="italics"/>
                  PT,
                    <emph.end type="italics"/>
                  tum corporis
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  vis
                    <lb/>
                  abſoluta, ut
                    <emph type="italics"/>
                  ST cub.
                    <emph.end type="italics"/>
                  reciproce; ſint autem vires illæ
                    <emph type="italics"/>
                  NM, ML
                    <emph.end type="italics"/>
                    <lb/>
                  cauſæ errorum & effectuum omnium de quibus actum eſt in præce-</s>
                </p>
              </subchap2>
            </subchap1>
          </chap>
        </body>
      </text>
    </archimedes>
Impressum