Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                    <pb xlink:href="039/01/468.jpg" pagenum="440"/>
                    <arrow.to.target n="note469"/>
                  Agatur recta
                    <emph type="italics"/>
                  ABC,
                    <emph.end type="italics"/>
                  cujus partes
                    <emph type="italics"/>
                  AB, BC
                    <emph.end type="italics"/>
                  rectis
                    <emph type="italics"/>
                  QA
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  QB,
                    <lb/>
                  QB
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  QC
                    <emph.end type="italics"/>
                  interjectæ, ſint ad invicem ut tempora inter obſer­
                    <lb/>
                  vationes tres primas. </s>
                  <s>Producatur
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  G,
                    <emph.end type="italics"/>
                  ut ſit
                    <emph type="italics"/>
                  AG
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                    <lb/>
                  ut tempus inter obſervationem primam & ultimam, ad tempus
                    <lb/>
                  inter obſervationem primam & ſecundam, & jungatur
                    <emph type="italics"/>
                  QG.
                    <emph.end type="italics"/>
                  Et
                    <lb/>
                  ſi Cometa moveretur uniformiter in linea recta, atque Terra vel
                    <lb/>
                  quieſceret, vel etiam in linea recta, uniformi cum motu, progre­
                    <lb/>
                  deretur; foret angulus
                    <emph type="italics"/>
                  r QG
                    <emph.end type="italics"/>
                  longitudo Cometæ tempore Ob­
                    <lb/>
                  ſervationis ultimæ. </s>
                  <s>Angulus igitur
                    <emph type="italics"/>
                  FQG,
                    <emph.end type="italics"/>
                  qui longitudinum dif­
                    <lb/>
                  ferentia eſt, oritur ab inæqualitate motuum Cometæ ac Terræ. </s>
                  <s>
                    <lb/>
                  Hic autem angulus, ſi Terra & Cometa in contrarias partes mo­
                    <lb/>
                  ventur, additur angulo
                    <emph type="italics"/>
                  rQG,
                    <emph.end type="italics"/>
                  & ſic motum apparentem Co­
                    <lb/>
                  metæ velociorem reddit: Sin Cometa pergit in eaſdem partes
                    <lb/>
                  cum Terra, eidem ſubducitur, motumque Cometæ vel tardiorem
                    <lb/>
                  reddit, vel forte retrogradum; uti modo expoſui. </s>
                  <s>Oritur igitur
                    <lb/>
                  hic angulus præcipue ex motu Terræ, & idcirco pro parallaxi Co­
                    <lb/>
                  metæ merito habendus eſt, neglecto videlicet ejus incremento vel
                    <lb/>
                  decremento nonnullo, quod a Cometæ motu inæquabili in Orbe
                    <lb/>
                  proprio oriri poſſit. </s>
                  <s>Diſtantia vero Cometæ ex hac parallaxi ſic
                    <lb/>
                  colligitur. </s>
                  <s>Deſignet
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  Solem,
                    <emph type="italics"/>
                  acT
                    <emph.end type="italics"/>
                  Orbem magnum,
                    <emph type="italics"/>
                  a
                    <emph.end type="italics"/>
                  locum
                    <lb/>
                  Terræ in obſervatione prima,
                    <emph type="italics"/>
                  c
                    <emph.end type="italics"/>
                  locum
                    <lb/>
                    <figure id="id.039.01.468.1.jpg" xlink:href="039/01/468/1.jpg" number="226"/>
                    <lb/>
                  Terræ in obſervatione tertia,
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  locum
                    <lb/>
                  Terræ in obſervatione ultima, &
                    <emph type="italics"/>
                  Tr
                    <emph.end type="italics"/>
                  li­
                    <lb/>
                  neam rectam verſus principium Arietis
                    <lb/>
                  ductam. </s>
                  <s>Sumatur angulus
                    <emph type="italics"/>
                  rTV
                    <emph.end type="italics"/>
                  æqua­
                    <lb/>
                  lis angulo
                    <emph type="italics"/>
                  rQF,
                    <emph.end type="italics"/>
                  hoc eſt, æqualis lon­
                    <lb/>
                  gitudini Cometæ ubi Terra verſatur in
                    <lb/>
                    <emph type="italics"/>
                  T.
                    <emph.end type="italics"/>
                  Jungatur
                    <emph type="italics"/>
                  ac,
                    <emph.end type="italics"/>
                  & producatur ea ad
                    <emph type="italics"/>
                  g,
                    <emph.end type="italics"/>
                    <lb/>
                  ut ſit
                    <emph type="italics"/>
                  ag
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  ac
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  AG
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AC,
                    <emph.end type="italics"/>
                  &
                    <lb/>
                  erit
                    <emph type="italics"/>
                  g
                    <emph.end type="italics"/>
                  locus quem Terra tempore obſer­
                    <lb/>
                  vationis ultimæ, motu in recta
                    <emph type="italics"/>
                  ac
                    <emph.end type="italics"/>
                  uNI­
                    <lb/>
                  formiter continuato, attingeret. </s>
                  <s>Ideo­
                    <lb/>
                  que ſi ducatur
                    <emph type="italics"/>
                  g r
                    <emph.end type="italics"/>
                  ipſi
                    <emph type="italics"/>
                  Tr
                    <emph.end type="italics"/>
                  parallela,
                    <lb/>
                  & capiatur angulus
                    <emph type="italics"/>
                  rgV
                    <emph.end type="italics"/>
                  angulo
                    <emph type="italics"/>
                  rQG
                    <emph.end type="italics"/>
                    <lb/>
                  æqualis, erit hic angulus
                    <emph type="italics"/>
                  rgV
                    <emph.end type="italics"/>
                  æqualis
                    <lb/>
                  longitudini Cometæ e loco
                    <emph type="italics"/>
                  g
                    <emph.end type="italics"/>
                  ſpectati;
                    <lb/>
                  & angulus
                    <emph type="italics"/>
                  TVg
                    <emph.end type="italics"/>
                  parallaxis erit, quæ oritur a tranſlatione Terræ
                    <lb/>
                  de loco
                    <emph type="italics"/>
                  g
                    <emph.end type="italics"/>
                  in locum
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  : ac proinde
                    <emph type="italics"/>
                  V
                    <emph.end type="italics"/>
                  locus erit Cometæ in plano
                    <lb/>
                  Eclipticæ. </s>
                  <s>Hic autem locus
                    <emph type="italics"/>
                  V
                    <emph.end type="italics"/>
                  Orbe Jovis inferior eſſe ſolet. </s>
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