Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>
                    <pb xlink:href="039/01/150.jpg" pagenum="122"/>
                    <arrow.to.target n="note98"/>
                  perimetro Figuræ revolventis
                    <emph type="italics"/>
                  uCp,
                    <emph.end type="italics"/>
                  eodemque tempore deſcribet
                    <lb/>
                  arcum ejus
                    <emph type="italics"/>
                  up
                    <emph.end type="italics"/>
                  quo corpus aliud
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  arcum ipſi ſimilem & æqualem
                    <lb/>
                    <emph type="italics"/>
                  VP
                    <emph.end type="italics"/>
                  in Figura quieſcente
                    <emph type="italics"/>
                  VPK
                    <emph.end type="italics"/>
                  deſcribere poteſt. </s>
                  <s>Quæratur igi­
                    <lb/>
                  tur, per Corollarium quintum propoſitionis VI, Vis centripeta qua
                    <lb/>
                  corpus revolvi poſſit in Curva illa linea quam punctum
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  deſcribit
                    <lb/>
                  in plano immobili, & ſolvetur Problema.
                    <emph type="italics"/>
                  q.E.F.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note98"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO XLIV. THEOREMA XIV.
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                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Differentia Virium, quibus corpus in Orbe quieſcente, & corpus a­
                    <lb/>
                  liud in eodem Orbe revolvente æqualiter moveri poſſunt, est
                    <lb/>
                  in triplicata ratione communis altitudinis inverſe.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>Partibus Orbis quie­
                    <lb/>
                    <figure id="id.039.01.150.1.jpg" xlink:href="039/01/150/1.jpg" number="94"/>
                    <lb/>
                  ſcentis
                    <emph type="italics"/>
                  VP, PK
                    <emph.end type="italics"/>
                  ſunto
                    <lb/>
                  ſimiles & æquales Or­
                    <lb/>
                  bis revolventis partes
                    <lb/>
                    <emph type="italics"/>
                  up, pk
                    <emph.end type="italics"/>
                  ; & punctorum
                    <lb/>
                    <emph type="italics"/>
                  P, K
                    <emph.end type="italics"/>
                  diſtantia intelli­
                    <lb/>
                  gatur eſſe quam miNI­
                    <lb/>
                  ma. </s>
                  <s>A puncto
                    <emph type="italics"/>
                  k
                    <emph.end type="italics"/>
                  in re­
                    <lb/>
                  ctam
                    <emph type="italics"/>
                  pC
                    <emph.end type="italics"/>
                  demitte per­
                    <lb/>
                  pendiculum
                    <emph type="italics"/>
                  kr,
                    <emph.end type="italics"/>
                  idem­
                    <lb/>
                  que produc ad
                    <emph type="italics"/>
                  m,
                    <emph.end type="italics"/>
                  ut ſit
                    <lb/>
                    <emph type="italics"/>
                  mr
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  kr
                    <emph.end type="italics"/>
                  ut angulus
                    <lb/>
                    <emph type="italics"/>
                  VCp
                    <emph.end type="italics"/>
                  ad angulum
                    <emph type="italics"/>
                  VCP.
                    <emph.end type="italics"/>
                    <lb/>
                  Quoniam corporum al­
                    <lb/>
                  titudines
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  pC, KC
                    <emph.end type="italics"/>
                    <lb/>
                  &
                    <emph type="italics"/>
                  kC
                    <emph.end type="italics"/>
                  ſemper æquan­
                    <lb/>
                  tur, manifeſtum eſt quod linearum
                    <emph type="italics"/>
                  PC
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  pC
                    <emph.end type="italics"/>
                  incrementa vel
                    <lb/>
                  decrementa ſemper ſint æqualia, ideoque ſi corporum in locis
                    <lb/>
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  exiſtentium diſtinguantur motus ſinguli (per Legum
                    <lb/>
                  Corol. </s>
                  <s>2.) in binos, quorum hi verſus centrum, ſive ſecundum
                    <lb/>
                  lineas
                    <emph type="italics"/>
                  PC, pC
                    <emph.end type="italics"/>
                  determinentur, & alteri prioribus tranſverſi ſint,
                    <lb/>
                  & ſecundum lineas ipſis
                    <emph type="italics"/>
                  PC, pC
                    <emph.end type="italics"/>
                  perpendiculares directionem
                    <lb/>
                  habeant; motus verſus centrum erunt æquales, & motus tranſ­
                    <lb/>
                  verſus corporis
                    <emph type="italics"/>
                  p
                    <emph.end type="italics"/>
                  erit ad motum tranſverſum corporis
                    <emph type="italics"/>
                  P,
                    <emph.end type="italics"/>
                  ut mo­
                    <lb/>
                  tus angularis lineæ
                    <emph type="italics"/>
                  pC,
                    <emph.end type="italics"/>
                  ad motum angularem lineæ
                    <emph type="italics"/>
                  PC,
                    <emph.end type="italics"/>
                  id eſt, </s>
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