Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/143.jpg" pagenum="115"/>
                  tes æquales. </s>
                  <s>Quoniam diſtantiæ
                    <emph type="italics"/>
                  CD, CI
                    <emph.end type="italics"/>
                  æquantur, erunt vi­</s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note91"/>
                  res centripetæ in
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  æquales. </s>
                  <s>Exponantur hæ vires per æ­
                    <lb/>
                  quales lineolas
                    <emph type="italics"/>
                  DE, IN
                    <emph.end type="italics"/>
                  ; & ſi vis una
                    <emph type="italics"/>
                  IN
                    <emph.end type="italics"/>
                  (per Legum Corol. </s>
                  <s>2.)
                    <lb/>
                  reſolvatur in duas
                    <emph type="italics"/>
                  NT
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IT,
                    <emph.end type="italics"/>
                  vis
                    <emph type="italics"/>
                  NT,
                    <emph.end type="italics"/>
                  agendo ſecundum lineam
                    <lb/>
                    <emph type="italics"/>
                  NT
                    <emph.end type="italics"/>
                  corporis curſui
                    <emph type="italics"/>
                  ITK
                    <emph.end type="italics"/>
                  perpendicularem, nil mutabit velocita­
                    <lb/>
                  tem corporis in curſu illo, ſed retrahet ſolummodo corpus a cur­
                    <lb/>
                  ſu rectilineo, facietQ.E.I.ſum de Orbis tangente perpetuo deflecte­
                    <lb/>
                  re, inque via curvilinea
                    <emph type="italics"/>
                  ITKk
                    <emph.end type="italics"/>
                  progredi. </s>
                  <s>In hoc effectu produ­
                    <lb/>
                  cendo vis illa tota conſumetur: vis autem altera
                    <emph type="italics"/>
                  IT,
                    <emph.end type="italics"/>
                  ſecundum
                    <lb/>
                  corporis curſum agendo, tota accelerabit illud, ac dato tem­
                    <lb/>
                  pore quam minimo accelerationem generabit ſibi ipſi proportiona­
                    <lb/>
                  lem. </s>
                  <s>Proinde corporum in
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  accelerationes æqualibus tem­
                    <lb/>
                  poribus factæ (ſi ſumantur linearum naſcentium
                    <emph type="italics"/>
                  DE, IN, IK,
                    <lb/>
                  IT, NT
                    <emph.end type="italics"/>
                  rationes primæ) ſunt ut lineæ
                    <emph type="italics"/>
                  DE, IT:
                    <emph.end type="italics"/>
                  temporibus au­
                    <lb/>
                  tem inæqualibus ut lineæ illæ & tempora conjunctim. </s>
                  <s>Tempora
                    <lb/>
                  autem quibus
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IK
                    <emph.end type="italics"/>
                  deſcribuntur, ob æqualitatem velocita­
                    <lb/>
                    <figure id="id.039.01.143.1.jpg" xlink:href="039/01/143/1.jpg" number="89"/>
                    <lb/>
                  tum ſunt ut viæ deſcriptæ
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IK,
                    <emph.end type="italics"/>
                  adeoque accelerationes, in
                    <lb/>
                  curſu corporum per lineas
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IK,
                    <emph.end type="italics"/>
                  funt ut
                    <emph type="italics"/>
                  DE
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  IT, DE
                    <emph.end type="italics"/>
                  &
                    <lb/>
                    <emph type="italics"/>
                  IK
                    <emph.end type="italics"/>
                  conjunctim, id eſt ut
                    <emph type="italics"/>
                  DE quad
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  ITXIK rectangulum.
                    <emph.end type="italics"/>
                  Sed
                    <lb/>
                    <emph type="italics"/>
                  rectangulum ITXIK
                    <emph.end type="italics"/>
                  æquale eſt
                    <emph type="italics"/>
                  IN quadrato,
                    <emph.end type="italics"/>
                  hoc eſt, æquale
                    <lb/>
                    <emph type="italics"/>
                  DE quadrato;
                    <emph.end type="italics"/>
                  & propterea accelerationes in tranſitu corporum a
                    <lb/>
                    <emph type="italics"/>
                  D
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  I
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  E
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  K
                    <emph.end type="italics"/>
                  æquales generantur. </s>
                  <s>Æquales igitur ſunt cor-</s>
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