Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/166.jpg" pagenum="138"/>
                    <arrow.to.target n="note114"/>
                  tervallo
                    <emph type="italics"/>
                  CA
                    <emph.end type="italics"/>
                  deſeribatur Globus exterior
                    <emph type="italics"/>
                  ABD,
                    <emph.end type="italics"/>
                  & intra hunc Glo­
                    <lb/>
                  bum a Rota, cujus diameter ſit
                    <emph type="italics"/>
                  AO,
                    <emph.end type="italics"/>
                  deſcribantur duæ Semicycloides
                    <lb/>
                    <emph type="italics"/>
                  AQ, AS,
                    <emph.end type="italics"/>
                  quæ Globum interiorem tangant in
                    <emph type="italics"/>
                  Q
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  & Globo ex­
                    <lb/>
                  teriori occurrant in
                    <emph type="italics"/>
                  A.
                    <emph.end type="italics"/>
                  A puncto illo
                    <emph type="italics"/>
                  A,
                    <emph.end type="italics"/>
                  Filo
                    <emph type="italics"/>
                  APT
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                  longitudinem
                    <lb/>
                    <emph type="italics"/>
                  AR
                    <emph.end type="italics"/>
                  æquante, pendeat corpus
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  & ita intra Semicycloides
                    <emph type="italics"/>
                  AQ,
                    <lb/>
                  AS
                    <emph.end type="italics"/>
                  oſcilletur, ut quoties pendulum digreditur a perpendiculo
                    <emph type="italics"/>
                  AR,
                    <emph.end type="italics"/>
                    <lb/>
                    <figure id="id.039.01.166.1.jpg" xlink:href="039/01/166/1.jpg" number="99"/>
                    <lb/>
                  Filum parte ſui ſuperiore
                    <emph type="italics"/>
                  AP
                    <emph.end type="italics"/>
                  applicetur ad Semicycloidem illam
                    <lb/>
                    <emph type="italics"/>
                  APS
                    <emph.end type="italics"/>
                  verſus quam peragitur motus, & circum eam ceu obſtacu­
                    <lb/>
                  lum flectatur, parteque reliqua
                    <emph type="italics"/>
                  PT
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                  cui Semicyclois nondum obji­
                    <lb/>
                  citur, protendatur in lineam rectam; & pondus
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  oſcillabitur in
                    <lb/>
                  Cycloide data
                    <emph type="italics"/>
                  QRS.
                    <expan abbr="q.">que</expan>
                  E. F.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note114"/>
                  DE MOTU
                    <lb/>
                  CORPORUM</s>
                </p>
                <p type="main">
                  <s>Occurrat enim Filum
                    <emph type="italics"/>
                  PT
                    <emph.end type="italics"/>
                  tum Cycloidi
                    <emph type="italics"/>
                  QRS
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  tum circulo
                    <lb/>
                    <emph type="italics"/>
                  QOS
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  V,
                    <emph.end type="italics"/>
                  agaturque
                    <emph type="italics"/>
                  CV;
                    <emph.end type="italics"/>
                  & ad Fili partem rectam
                    <emph type="italics"/>
                  PT,
                    <emph.end type="italics"/>
                  e punctis
                    <lb/>
                  extremis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  ac
                    <emph type="italics"/>
                  T,
                    <emph.end type="italics"/>
                  erigantur perpendicula
                    <emph type="italics"/>
                  PB, TW,
                    <emph.end type="italics"/>
                  occurrentia re­
                    <lb/>
                  ctæ
                    <emph type="italics"/>
                  CV
                    <emph.end type="italics"/>
                  in
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  W.
                    <emph.end type="italics"/>
                  Patet, ex conſtructione & geneſi ſimilium Fi­
                    <lb/>
                  gurarum
                    <emph type="italics"/>
                  AS, SR,
                    <emph.end type="italics"/>
                  perpendicula illa
                    <emph type="italics"/>
                  PB, TW
                    <emph.end type="italics"/>
                  abſcindere de
                    <emph type="italics"/>
                  CV
                    <emph.end type="italics"/>
                  lon­
                    <lb/>
                  gitudines
                    <emph type="italics"/>
                  VB, VW
                    <emph.end type="italics"/>
                  Rotarum diametris
                    <emph type="italics"/>
                  OA, OR
                    <emph.end type="italics"/>
                  æquales. </s>
                  <s>Eſt igi­
                    <lb/>
                  tur
                    <emph type="italics"/>
                  TP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  VP
                    <emph.end type="italics"/>
                  (duplum ſinum anguli
                    <emph type="italics"/>
                  VBP
                    <emph.end type="italics"/>
                  exiſtente 1/2
                    <emph type="italics"/>
                  BV
                    <emph.end type="italics"/>
                  ra-</s>
                </p>
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        </body>
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