Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  DE MUNDI
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                  SYSTEMATE</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  LEMMA II.
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                  </s>
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                <p type="main">
                  <s>
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                  Iiſdem poſitis: Dico ſecundo quod vis & efficacia tota parti­
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                  cularum omnium extra globum undique ſitarum, ad Terram cir­
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                  cum axem eundem rotandam, ſit ad vim totam particularum toti­
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                  dem, in Æquatoris circulo
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                  AE,
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                  uniformiter per totum circuitum
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                  in morem annuli diſpoſitarum, ad Terram conſimili motu circulari
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                  movendam, ut duo ad quinque.
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                  </s>
                </p>
                <p type="main">
                  <s>Sit enim
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                  IK
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                  circulus quilibet minor Æquatori
                    <emph type="italics"/>
                  AE
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                  parallelus,
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                  ſintque
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                  L, l
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                  particulæ duæ quævis æquales in hoc circulo extra
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                  globum
                    <emph type="italics"/>
                  Pape
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                  ſitæ. </s>
                  <s>Et ſi in planum
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                  QR,
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                  quod radio in Solem
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                  ducto perpendiculare eſt, demittantur perpendicula
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                  LM, lm:
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                    <lb/>
                  vires totæ quibus particulæ illæ fugiunt planum
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                  QR,
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                  proporti­
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                  onales erunt perpendiculis illis
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                  LM, lm.
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                  Sit autem recta
                    <emph type="italics"/>
                  Ll
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                  plano
                    <emph type="italics"/>
                  Pape
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                  parallela & biſecetur eadem in
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                  X,
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                  & per pun­
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                  ctum
                    <emph type="italics"/>
                  X
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                  agatur
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                  Nn,
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                  quæ parallela ſit plano
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                  QR
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                  & perpendi­
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                    <figure id="id.039.01.462.1.jpg" xlink:href="039/01/462/1.jpg" number="224"/>
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                  culis
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                  LM, lm
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                  occurrat in
                    <emph type="italics"/>
                  N
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                  ac
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                  n,
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                  & in planum
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                  QR
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                  demit­
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                  tatur perpendiculum
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                  XT.
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                  Et particularum
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                  L
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                  &
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                  l
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                  vires con­
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                  trariæ, ad Terram in contrarias partes rotandam, ſunt ut
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                    <emph type="italics"/>
                  LMXMC
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                  &
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                  lmXmC,
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                  hoc eſt, ut
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                  LNXMC+NMXMC
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                  &
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                    <emph type="italics"/>
                  lnXmC-nmXmC,
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                  ſeu
                    <emph type="italics"/>
                  LNXMC+NMXMC
                    <emph.end type="italics"/>
                  &
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                  LNXmC
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