Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  <s>
                    <pb xlink:href="039/01/135.jpg" pagenum="107"/>
                  etiam ſecet communem illam diametrum
                    <emph type="italics"/>
                  AB
                    <emph.end type="italics"/>
                  (ſi opus eſt productam) </s>
                </p>
                <p type="main">
                  <s>
                    <arrow.to.target n="note83"/>
                  in
                    <emph type="italics"/>
                  T
                    <emph.end type="italics"/>
                  ; ſitque
                    <emph type="italics"/>
                  SY
                    <emph.end type="italics"/>
                  ad hanc rectam, &
                    <emph type="italics"/>
                  BQ
                    <emph.end type="italics"/>
                  ad
                    <lb/>
                    <figure id="id.039.01.135.1.jpg" xlink:href="039/01/135/1.jpg" number="82"/>
                    <lb/>
                  hanc diametrum perpendicularis, atque Figu­
                    <lb/>
                    <emph type="italics"/>
                  RPB
                    <emph.end type="italics"/>
                  latus rectum ponatur L. </s>
                  <s>Conſtat
                    <lb/>
                  per Cor. </s>
                  <s>9. Prop. </s>
                  <s>XVI, quod corporis in
                    <lb/>
                  linea
                    <emph type="italics"/>
                  RPB
                    <emph.end type="italics"/>
                  circa centrum
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  moventis velo­
                    <lb/>
                  citas in loco quovis
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  ſit ad velocitatem cor­
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                  poris intervallo
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  circa idem centrum Cir­
                    <lb/>
                  culum deſcribentis in ſubduplicata ratione rec­
                    <lb/>
                  tanguli 1/2 LX
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  SY
                    <emph.end type="italics"/>
                  quadratum. </s>
                  <s>Eſt au­
                    <lb/>
                  tem ex Conicis
                    <emph type="italics"/>
                  ACB
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  CPq
                    <emph.end type="italics"/>
                  ut 2
                    <emph type="italics"/>
                  AO
                    <emph.end type="italics"/>
                  ad L,
                    <lb/>
                  adeoque (2
                    <emph type="italics"/>
                  CPqXAO/ACB
                    <emph.end type="italics"/>
                  ) æquale L. </s>
                  <s>Ergo ve­
                    <lb/>
                  locitates illæ ſunt ad invicem in ſubduplicata
                    <lb/>
                  ratione (
                    <emph type="italics"/>
                  CPqXAOXSP/ACB
                    <emph.end type="italics"/>
                  ) ad
                    <emph type="italics"/>
                  SY quad.
                    <emph.end type="italics"/>
                  Por­
                    <lb/>
                  ro ex Conicis eſt
                    <emph type="italics"/>
                  CO
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BO
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  BO
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  TO,
                    <emph.end type="italics"/>
                    <lb/>
                  & compoſite vel diviſim ut
                    <emph type="italics"/>
                  CB
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BT.
                    <emph.end type="italics"/>
                    <lb/>
                  Unde vel dividendo vel componendo fit
                    <lb/>
                    <emph type="italics"/>
                  BO
                    <emph.end type="italics"/>
                  -vel+
                    <emph type="italics"/>
                  CO
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BO
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  CT
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BT,
                    <emph.end type="italics"/>
                  id eſt
                    <lb/>
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AO
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  CP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BQ
                    <emph.end type="italics"/>
                  ; indeque (
                    <emph type="italics"/>
                  CPqXAOXSP/ACB
                    <emph.end type="italics"/>
                  ) æquale eſt
                    <lb/>
                  (
                    <emph type="italics"/>
                  BQqXACXSP/AOXBC.
                    <emph.end type="italics"/>
                  ) Minuatur jam in infinitum Figuræ
                    <emph type="italics"/>
                  RPB
                    <emph.end type="italics"/>
                  latitu­
                    <lb/>
                  do
                    <emph type="italics"/>
                  CP,
                    <emph.end type="italics"/>
                  ſic ut punctum
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  coeat cum puncto
                    <emph type="italics"/>
                  C,
                    <emph.end type="italics"/>
                  punctumque
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  cum
                    <lb/>
                  puncto
                    <emph type="italics"/>
                  B,
                    <emph.end type="italics"/>
                  & linea
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  cum linea
                    <emph type="italics"/>
                  BC,
                    <emph.end type="italics"/>
                  lineaque
                    <emph type="italics"/>
                  SY
                    <emph.end type="italics"/>
                  cum linea
                    <emph type="italics"/>
                  BQ
                    <emph.end type="italics"/>
                  ;
                    <lb/>
                  & corporis jam recta deſcendentis in linea
                    <emph type="italics"/>
                  CB
                    <emph.end type="italics"/>
                  velocitas fiet ad
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                  velocitatem corporis centro
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  intervallo
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  Circulum deſcribentis,
                    <lb/>
                  in ſubduplicata ratione ipſius (
                    <emph type="italics"/>
                  BQqXACXSP/AOXBC
                    <emph.end type="italics"/>
                  ) ad
                    <emph type="italics"/>
                  SYq,
                    <emph.end type="italics"/>
                  hoc eſt (neg­
                    <lb/>
                  lectis æqualitatis rationibus
                    <emph type="italics"/>
                  SP
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  BC
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  BQq
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  SYq
                    <emph.end type="italics"/>
                  ) in ſub­
                    <lb/>
                  duplicata ratione
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  AO
                    <emph.end type="italics"/>
                  ſive 1/2
                    <emph type="italics"/>
                  AB.
                    <expan abbr="q.">que</expan>
                  E. D.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note83"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  1. Punctis
                    <emph type="italics"/>
                  B
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  S
                    <emph.end type="italics"/>
                  coeuntibus, fit
                    <emph type="italics"/>
                  TC
                    <emph.end type="italics"/>
                  ad
                    <emph type="italics"/>
                  TS
                    <emph.end type="italics"/>
                  ut
                    <emph type="italics"/>
                  AC
                    <emph.end type="italics"/>
                    <lb/>
                  ad
                    <emph type="italics"/>
                  AO.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="italics"/>
                  Corol.
                    <emph.end type="italics"/>
                  2. Corpus ad datam a centro diſtantiam in Circulo quo­
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                  vis revolvens, motu ſuo ſurſum verſo aſcendet ad duplam ſuam a
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                  centro diſtantiam. </s>
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