Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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1ſtum conicum ulterius degfin ſuperficie de,& hoc fruſtum
urget fruſtum proximum fgihin ſuperficie fg,& fruſtum illud
urget fruſtum tertium, & ſic deinceps in infinitum; manifeſtum
eſt (per motus Legem tertiam) quod fruſtum primum defg,re­
actione fruſti ſecundi fghi,tantum urgebitur & premetur in ſu­
perficie fg,quantum urget & premit fruſtum illud ſecundum.
Fruſtum igitur degfinter conum Ade& fruſtum fhigcom­
primitur utrinque, & propterea (per Corol.
6. Prop. XIX.) figu­
ram ſuam ſervare nequit, niſi vi eadem comprimatur undique.
193[Figure 193]
Eodem igitur impetu quo premitur in ſuperficiebus de, fg,cona­
bitur cedere ad latera df, eg; ibique (cum rigidum non ſit, ſed
omnimodo Fluidum) excurret ac dilatabitur, niſi Fluidum am­
biens adſit, quo conatus iſte cohibeatur.
Proinde conatu excur­
rendi, premet tam Fluidum ambiens ad latera df, egquam fruſtum
fghieodem impetu; & propterea preſſio non minus propagabi­
tur a lateribus df, egin ſpatia NO, KLhinc inde, quam pro­
pagatur a ſuperficie fgverſus PQ. Q.E.D.

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