Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  <s>Ex datis corporum motibus ſub initio, datur uniformis motus
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                    <arrow.to.target n="note129"/>
                  centri communis gravitatis, ut & motus ſpatii quod una cum hoc
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                  centro movetur uniformiter in directum, nec non corporum mo­
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                  tus initiales reſpectu hujus ſpatii. </s>
                  <s>Motus autem ſubſequentes
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                  (per Legum Corollarium quintum, & Theorema noviſſimum)
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                  perinde fiunt in hoc ſpatio, ac ſi ſpatium ipſum una cum commu­
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                  ni illo gravitatis centro quieſceret, & corpora non traherent ſe
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                  mutuo, ſed a corpore tertio ſito in centro illo traherentur. </s>
                  <s>Cor­
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                  poris igitur alterutrius in hoc ſpatio mobili, de loco dato, ſecun­
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                  dum datam rectam, data cum velocitate exeuntis, & vi centripeta
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                  ad centrum illud tendente correpti, determinandus eſt motus per
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                  Problema nonum & viceſimum ſextum: & habebitur ſimul mo­
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                  tus corporis alterius e regione. </s>
                  <s>Cum hoc motu componendus
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                  eſt uniformis ille Syſtematis ſpatii & corporum in eo gyrantium
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                  motus progreſſivus ſupra inventus, & habebitur motus abſolutus
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                  corporum in ſpatio immobili.
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                  Q.E.I.
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                  </s>
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                <p type="margin">
                  <s>
                    <margin.target id="note129"/>
                  LIBER
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                  PRIMUS.</s>
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                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LXIV. PROBLEMA XL.
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                  </s>
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                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Viribus quibus Corpora ſe mutuo trahunt creſcentibus in ſimplici ra­
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                  tione diſtantiarum a centris: requiruntur Motus plurium Cor­
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                  porum inter ſe.
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                  </s>
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                  <s>Ponantur primo corpora duo
                    <emph type="italics"/>
                  T
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                  &
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                  L
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                  commune habentia gravi­
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                  tatis centrum
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                  D.
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                  Deſcribent hæc (per Corollarium primum Theo­
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                  rematis XXI) Ellipſes centra habentes in
                    <emph type="italics"/>
                  D,
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                  quarum magnitudo ex
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                  Problemate V, innoteſcit. </s>
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                <p type="main">
                  <s>Trahat jam corpus tertium
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                    <emph type="italics"/>
                  S
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                  priora duo
                    <emph type="italics"/>
                  T
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                  &
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                  L
                    <emph.end type="italics"/>
                  viri­
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                  bus acceleratricibus
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                  ST, SL,
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                  & ab ipſis viciſſim trahatur. </s>
                  <s>
                    <lb/>
                  Vis
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                  ST
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                  (per Legum Cor. </s>
                  <s>2.)
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                  reſolvitur in vires
                    <emph type="italics"/>
                  SD, DT
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                  ;
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                  & vis
                    <emph type="italics"/>
                  SL
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                  in vires
                    <emph type="italics"/>
                  SD, DL.
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                    <lb/>
                  Vires autem
                    <emph type="italics"/>
                  DT, DL,
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                  quæ
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                  ſunt ut ipſarum ſumma
                    <emph type="italics"/>
                  TL,
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                    <lb/>
                  atque adeo ut vires accelera­
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                  trices quibus corpora
                    <emph type="italics"/>
                  T
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                  &
                    <emph type="italics"/>
                  L
                    <emph.end type="italics"/>
                  ſe mutuo trahunt, additæ his viri­
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                  bus corporum
                    <emph type="italics"/>
                  T
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                  &
                    <emph type="italics"/>
                  L,
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                  prior priori & poſterior poſteriori, com­
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                  ponunt vires diſtantiis
                    <emph type="italics"/>
                  DT
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                  ac
                    <emph type="italics"/>
                  DL
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                  proportionales, ut prius, ſed </s>
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