Newton, Isaac, Philosophia naturalis principia mathematica, 1713
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                  DE MOTU
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                  CORPORUM</s>
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                  Cas.
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                  2. Si Figura illa
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                  RPB
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                  Hyperbola eſt, deſcribatur ad ean­
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                  dem diametrum principalem
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                  AB
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                  Hyperbola rectangula
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                  BED:
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                  & quoniam areæ
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                  CSP, CBfP, SPfB
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                  ſunt ad areas
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                  CSD,
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                  CBED, SDEB,
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                  ſingulæ ad ſingulas, in data ratione altitudi­
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                  num
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                  CP, CD
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                  ; & area
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                  SPfB
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                  proportionalis eſt tempori quo
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                  corpus
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                  P
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                  movebitur per arcum
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                    <emph type="italics"/>
                  PfB
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                  ; erit etiam area
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                  SDEB
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                  ei­
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                  dem tempori proportionalis. </s>
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                  Minuatur latus rectum Hyper­
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                  bolæ
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                  RPB
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                  in infinitum ma­
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                  nente latere tranſverſo, & coibit
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                  arcus
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                  PB
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                  cum recta
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                  CB
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                  & um­
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                  bilicus
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                  S
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                  cum vertice
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                  B
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                  & recta
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                    <emph type="italics"/>
                  SD
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                  cum recta
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                  BD.
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                  Proinde a­
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                  rea
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                  BDEB
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                  proportionalis erit
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                  tempori quo corpus
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                  C
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                  recto
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                  deſcenſu deſcribit lineam
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                  CB.
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                    <expan abbr="q.">que</expan>
                  E. I.
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                  <s>
                    <emph type="italics"/>
                  Cas.
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                  3. Et ſimili argumento ſi
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                  Figura
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                  RPB
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                  Parabola eſt, &
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                  eodem vertice principali
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                  B
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                  de­
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                  ſcribatur alia Parabola
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                  BED,
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                  quæ ſemper maneat data interea
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                  dum Parabola prior in cujus perimetro corpus
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                  P
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                  movetur, dimi­
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                  nuto & in nihilum redacto ejus latere recto, conveniat cum linea
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                    <emph type="italics"/>
                  CB
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                  ; fiet ſegmentum Parabolicum
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                  BDEB
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                  proportionale tempori
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                  quo corpus illud
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                  P
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                  vel
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                  C
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                  deſcendet ad centrum
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                  S
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                  vel
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                  B.
                    <expan abbr="q.">que</expan>
                  E. I.
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                  PROPOSITIO XXXIII. THEOREMA IX.
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                  Poſitis jam inventis, dico quod corporis cadentis Velocitas in loco quo­
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                  vis
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                  C
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                  est ad velocitatem corporis centro
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                  B
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                  intervallo
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                  BC
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                  Circu­
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                  lum deſcribentis, in ſubduplicata ratione quam
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                  AC,
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                  diſtantia cor­
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                  poris a Circuli vel Hyperbolæ rect angulæ vertice ulteriore
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                  A,
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                  habet
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                  ad Figuræ ſemidiametrum principalem
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                  1/2 AB. </s>
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                  <s>Biſecetur
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                  AB,
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                  communis utriuſque Figuræ
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                  RPB, DEB
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                  dia­
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                  meter, in
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                  O
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                  ; & agatur recta
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                  PT
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                  quæ tangat Figuram
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                  RPB
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                  in
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                  P,
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                  atque </s>
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