Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                <p type="main">
                  <s>
                    <pb xlink:href="039/01/219.jpg" pagenum="191"/>
                    <arrow.to.target n="note167"/>
                  tas O, & erit hæc ſuperficies (per de­
                    <lb/>
                    <figure id="id.039.01.219.1.jpg" xlink:href="039/01/219/1.jpg" number="125"/>
                    <lb/>
                  monſtrata
                    <emph type="italics"/>
                  Archimedis
                    <emph.end type="italics"/>
                  ) ut
                    <emph type="italics"/>
                  PFXDFXO.
                    <emph.end type="italics"/>
                    <lb/>
                  Ponamus præterea vires attractivas par­
                    <lb/>
                  ticularum Sphæræ eſſe reciproce ut
                    <lb/>
                  diſtantiarum dignitas illa cujus Index
                    <lb/>
                  eſt
                    <emph type="italics"/>
                  n
                    <emph.end type="italics"/>
                  ; & vis qua ſuperficies
                    <emph type="italics"/>
                  FE
                    <emph.end type="italics"/>
                  trahit
                    <lb/>
                  corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  erit ut (
                    <emph type="italics"/>
                  DFXO/PF
                    <emph type="sup"/>
                  n-1
                    <emph.end type="sup"/>
                    <emph.end type="italics"/>
                  ). Huic pro­
                    <lb/>
                  portionale ſit perpendiculum
                    <emph type="italics"/>
                  FN
                    <emph.end type="italics"/>
                  duc­
                    <lb/>
                  tum in O; & area curvilinea
                    <emph type="italics"/>
                  BDLIB,
                    <emph.end type="italics"/>
                    <lb/>
                  quam ordinatim applicata
                    <emph type="italics"/>
                  FN
                    <emph.end type="italics"/>
                  in lon­
                    <lb/>
                  gitudinem
                    <emph type="italics"/>
                  DB
                    <emph.end type="italics"/>
                  per motum continuum
                    <lb/>
                  ducta deſcribit, erit ut vis tota qua
                    <lb/>
                  Segmentum totum
                    <emph type="italics"/>
                  RBSD
                    <emph.end type="italics"/>
                  trahit corpus
                    <emph type="italics"/>
                  P.
                    <expan abbr="q.">que</expan>
                  E. I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="margin">
                  <s>
                    <margin.target id="note167"/>
                  LIBER
                    <lb/>
                  PRIMUS.</s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                  PROPOSITIO LXXXIV. PROBLEMA XLIII.
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Invenire vim qua corpuſculum, extra centrum Sphæræ in axe Seg­
                    <lb/>
                  menti cujuſvis locatum, attrahitur ab eodem Segmento.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>A Segmento
                    <emph type="italics"/>
                  EBK
                    <emph.end type="italics"/>
                  trahatur corpus
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  (Vide Fig. </s>
                  <s>Prop. </s>
                  <s>LXXIX,
                    <lb/>
                  LXXX, LXXXI) in ejus axe
                    <emph type="italics"/>
                  ADB
                    <emph.end type="italics"/>
                  locatum. </s>
                  <s>Centro
                    <emph type="italics"/>
                  P
                    <emph.end type="italics"/>
                  interval­
                    <lb/>
                  lo
                    <emph type="italics"/>
                  PE
                    <emph.end type="italics"/>
                  deſcribatur ſuperficies Sphærica
                    <emph type="italics"/>
                  EFK,
                    <emph.end type="italics"/>
                  qua diſtinguatur
                    <lb/>
                  Segmentum in partes duas
                    <emph type="italics"/>
                  EBKF
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  EFKD.
                    <emph.end type="italics"/>
                  Quæratur vis par­
                    <lb/>
                  tis prioris per Prop. </s>
                  <s>LXXXI, & vis partis poſterioris per Prop. </s>
                  <s>
                    <lb/>
                  LXXXIII; & ſumma virium erit vis Segmenti totius
                    <emph type="italics"/>
                  EBKD.
                    <lb/>
                    <expan abbr="q.">que</expan>
                  E. I.
                    <emph.end type="italics"/>
                  </s>
                </p>
                <p type="main">
                  <s>
                    <emph type="center"/>
                    <emph type="italics"/>
                  Scholium.
                    <emph.end type="italics"/>
                    <emph.end type="center"/>
                  </s>
                </p>
                <p type="main">
                  <s>Explicatis attractionibus corporum Sphærieorum, jam pergere
                    <lb/>
                  liceret ad Leges attractionum aliorum quorundam ex particulis at­
                    <lb/>
                  tractivis ſimiliter conſtantium corporum; ſed iſta particulatim
                    <lb/>
                  tractare minus ad inſtitutum ſpectat. </s>
                  <s>Suffecerit Propoſitiones
                    <lb/>
                  quaſdam generaliores de viribus hujuſmodi corporum, deque mo­
                    <lb/>
                  tibus inde oriundis, ob earum in rebus Philoſophicis aliqualem
                    <lb/>
                  uſum, ſubjungere. </s>
                </p>
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