Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/182.jpg" pagenum="154"/>
                    <arrow.to.target n="note130"/>
                  viribus prioribus majores; adeoque (per Corol. </s>
                  <s>1. Prop. </s>
                  <s>X. & Corol. </s>
                  <s>
                    <lb/>
                  1 & 8. Prop, IV) efficiunt ut corpora illa deſcribant Ellipſes ut prius,
                    <lb/>
                  ſed motu celeriore. </s>
                  <s>Vires reliquæ acceleratrices
                    <emph type="italics"/>
                  SD
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  SD,
                    <emph.end type="italics"/>
                  actio­
                    <lb/>
                  nibus motricibus
                    <emph type="italics"/>
                  SDXT
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  SDXL,
                    <emph.end type="italics"/>
                  quæ ſunt ut corpora, tra­
                    <lb/>
                  hendo corpora illa æqualiter & ſecundum lineas
                    <emph type="italics"/>
                  TI, LK,
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  DS
                    <emph.end type="italics"/>
                    <lb/>
                  parallelas, nil mutant ſitus eorum ad invicem, ſed faciunt ut ipſa
                    <lb/>
                  æqualiter accedant ad lineam
                    <emph type="italics"/>
                  IK
                    <emph.end type="italics"/>
                  ; quam ductam concipe per me­
                    <lb/>
                  dium corporis
                    <emph type="italics"/>
                  S,
                    <emph.end type="italics"/>
                  & lineæ
                    <emph type="italics"/>
                  DS
                    <emph.end type="italics"/>
                  perpendicularem. </s>
                  <s>Impedietur au­
                    <lb/>
                  tem iſte ad lineam
                    <emph type="italics"/>
                  IK
                    <emph.end type="italics"/>
                  acceſſus faciendo ut Syſtema corporum
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                    <lb/>
                  ex una parte, & corpus
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  ex altera, juſtis cum velocitatibus, gyren­
                    <lb/>
                  tur circa commune gravitatis centrum
                    <emph type="italics"/>
                  C.
                    <emph.end type="italics"/>
                  Tali motu corpus
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                    <lb/>
                  (eo quod ſumma virium motricium
                    <emph type="italics"/>
                  SDXT
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  SDXL,
                    <emph.end type="italics"/>
                  diſtan­
                    <lb/>
                  tiæ
                    <emph type="italics"/>
                  CS
                    <emph.end type="italics"/>
                  proportionalium, tendit verſus centrum
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  ) deſcribit El­
                    <lb/>
                  lipſin circa idem
                    <emph type="italics"/>
                  C;
                    <emph.end type="italics"/>
                  & punctum
                    <emph type="italics"/>
                  D,
                    <emph.end type="italics"/>
                  ob proportionales
                    <emph type="italics"/>
                  CS, CD,
                    <emph.end type="italics"/>
                    <lb/>
                  deſcribet Ellipſin conſimilem e regione. </s>
                  <s>Corpora autem
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                    <lb/>
                  viribus motricibus
                    <emph type="italics"/>
                  SDXT
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.182.1.jpg" xlink:href="039/01/182/1.jpg" number="106"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  SDXL,
                    <emph.end type="italics"/>
                  (prius priore,
                    <lb/>
                  poſterius poſteriore) æqua­
                    <lb/>
                  liter & ſecundum lineas pa­
                    <lb/>
                  rallelas
                    <emph type="italics"/>
                  TI
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  LK
                    <emph.end type="italics"/>
                  (ut dic­
                    <lb/>
                  tum eſt) attracta, pergent
                    <lb/>
                  (per Legum Corollarium
                    <lb/>
                  quintum & ſextum) circa cen­
                    <lb/>
                  trum mobile
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  Ellipſes ſuas
                    <lb/>
                  deſcribere, ut prius.
                    <emph type="italics"/>
                  Q.E.I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note130"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Addatur jam corpus quartum
                    <emph type="italics"/>
                  V,
                    <emph.end type="italics"/>
                  & ſimili argumento conclude­
                    <lb/>
                  tur hoc & punctum
                    <emph type="italics"/>
                  C
                    <emph.end type="italics"/>
                  Ellipſes circa omnium commune centrum
                    <lb/>
                  gravitatis
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  deſcribere; manentibus motibus priorum corporum
                    <lb/>
                    <emph type="italics"/>
                  T, L
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  circa centra
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  ſed paulo acceleratis. </s>
                  <s>Et eadem
                    <lb/>
                  methodo corpora plura adjungere licebit.
                    <emph type="italics"/>
                  Q.E.I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Hæc ita ſe habent ubi corpora
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                  trahunt ſe mutuo viribus
                    <lb/>
                  acceleratricibus majoribus vel minoribus quam quibus trahunt cor­
                    <lb/>
                  pora reliqua pro ratione diſtantiarum. </s>
                  <s>Sunto mutuæ omnium at­
                    <lb/>
                  tractiones acceleratrices ad invicem ut diſtantiæ ductæ in corpo­
                    <lb/>
                  ra trahentia, & ex præcedentibus facile deducetur quod corpora
                    <lb/>
                  omnia æqualibus temporibus periodicis Ellipſes varias, circa om­
                    <lb/>
                  nium commune gravitatis centrum
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  in plano immobili deſcri­
                    <lb/>
                  bunt.
                    <emph type="italics"/>
                  Q.E.I.
                    <emph.end type="italics"/>
                  </s>
                </p>
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