Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  ſtum conicum ulterius
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                  degf
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                  in ſuperficie
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                  de,
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                  & hoc fruſtum
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                  urget fruſtum proximum
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                  fgih
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                  in ſuperficie
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                  fg,
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                  & fruſtum illud
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                  urget fruſtum tertium, & ſic deinceps in infinitum; manifeſtum
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                  eſt (per motus Legem tertiam) quod fruſtum primum
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                  defg,
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                  re­
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                  actione fruſti ſecundi
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                  fghi,
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                  tantum urgebitur & premetur in ſu­
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                  perficie
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                  fg,
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                  quantum urget & premit fruſtum illud ſecundum. </s>
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                  Fruſtum igitur
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                  degf
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                  inter conum
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                  Ade
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                  & fruſtum
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                  fhig
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                  com­
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                  primitur utrinque, & propterea (per Corol. </s>
                  <s>6. Prop. </s>
                  <s>XIX.) figu­
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                  ram ſuam ſervare nequit, niſi vi eadem comprimatur undique.
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                  Eodem igitur impetu quo premitur in ſuperficiebus
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                  de, fg,
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                  cona­
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                  bitur cedere ad latera
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                  df, eg
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                  ; ibique (cum rigidum non ſit, ſed
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                  omnimodo Fluidum) excurret ac dilatabitur, niſi Fluidum am­
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                  biens adſit, quo conatus iſte cohibeatur. </s>
                  <s>Proinde conatu excur­
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                  rendi, premet tam Fluidum ambiens ad latera
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                  df, eg
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                  quam fruſtum
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                    <emph type="italics"/>
                  fghi
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                  eodem impetu; & propterea preſſio non minus propagabi­
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                  tur a lateribus
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                  df, eg
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                  in ſpatia
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                  NO, KL
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                  hinc inde, quam pro­
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                  pagatur a ſuperficie
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                  fg
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                  verſus
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                  PQ. Q.E.D.
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