Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  LIBER
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                  SECUNDUS.</s>
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                  SECTIO VIII.
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                  De Motu per Fluida propagato.
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                  PROPOSITIO XLI. THEOREMA XXXII.
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                  Preſſio non propagatur per Fluidum ſecundum lineas rectas, niſi
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                  ubi particulæ Fluidi in directum jacent.
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                  <s>Si jaceant particulæ
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                  a, b, c, d, e
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                  in linea recta, poteſt quidem
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                  preſſio directe propagari ab
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                  a
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                  ad
                    <emph type="italics"/>
                  e
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                  ; at
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                  particula
                    <emph type="italics"/>
                  e
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                  urgebit particulas oblique po­
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                  ſitas
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                  f
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                  &
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                  g
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                  oblique, & particulæ illæ
                    <emph type="italics"/>
                  f
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                  &
                    <emph type="italics"/>
                  g
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                    <lb/>
                  non ſuſtinebunt preſſionem illatam, niſi
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                  fulciantur a particulis ulterioribus
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                  h
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                  &
                    <emph type="italics"/>
                  k
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                  ;
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                  quatenus autem fulciuntur, premunt par­
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                  ticulas fulcientes; & hæ non ſuſtinebunt
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                  preſſionem niſi fulciantur ab ulterioribus
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                    <emph type="italics"/>
                  l
                    <emph.end type="italics"/>
                  &
                    <emph type="italics"/>
                  m
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                  eaſque premant, & ſic deinceps in infinitum. </s>
                  <s>Preſſio igi­
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                  tur, quam primum propagatur ad particulas quæ non in directum
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                  jacent, divaricare incipiet & oblique propagabitur in infinitum;
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                  & poſtquam incipit oblique propagari, ſi inciderit in particulas
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                  ulteriores, quæ non in directum jacent, iterum divaricabit; id­
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                  que toties, quoties in particulas non accurate in directum ja­
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                  centes inciderit.
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                  Q.E.D.
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                  Corol.
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                  Si preſſionis, a dato puncto per Fluidum propagatæ, pars
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                  aliqua obſtaculo intercipiatur; pars reliqua, quæ non intercipitur,
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                  divaricabit in ſpatia pone obſtaculum. </s>
                  <s>Id quod ſic etiam de­
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                  monſtrari poteſt. </s>
                  <s>A puncto
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                  A
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                  propagetur preſſio quaquaver­
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                  ſum, idque ſi fieri poteſt ſecundum lineas rectas, & obſtaculo
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                    <emph type="italics"/>
                  NBCK
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                  perforato in
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                  BC,
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                  intercipiatur ea omnis, præter par­
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                  tem Coniformem
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                  APQ,
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                  quæ per foramen circulare
                    <emph type="italics"/>
                  BC
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                  tranſit. </s>
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                  Planis tranſverſis
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                  de, fg, hi
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                  diſtinguatur conus
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                  APQ
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                  in fruſta;
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                  & interea dum conus
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                  ABC,
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                  preſſionem propagando, urget fru-</s>
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