Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  DE MOTU
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                  CORPORUM</s>
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                  <s>
                    <emph type="italics"/>
                  Corol.
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                  Unde nec motus partium fluidi inter ſe, per preſſionem
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                  fluido ubivis in externa ſuperficie illatam, mutari poſſunt, niſi qua­
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                  tenus aut figura ſuperficiei alicubi mutatur, aut omnes fluidi partes
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                  intenſius vel remiſſius ſeſe premendo difficilius vel facilius labun­
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                  tur inter ſe. </s>
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                  PROPOSITIO XX. THEOREMA XV.
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                  Si Fluidi Sphærici, & in æqualibus a centro diſtantiis homogenei,
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                  fundo Sphærico concentrico incumbentis partes ſingulæ verſus
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                  centrum totius gravitent; ſuſtinet fundum pondus Cylindri, cu­
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                  jus bafis æqualis est ſuperficiei fundi, & altitudo eadem quæ
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                  Fluidi incumbentis.
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                  <s>Sit
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                  DHM
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                  ſuperficies ſundi, &
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                  AEI
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                  ſuperficies ſuperior fluidi. </s>
                  <s>Superficiebus
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                  ſphæricis innumeris
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                  BFK, CGL
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                  diſtin­
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                  guatur fluidum in Orbes concentricos æ­
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                  qualiter craſſos; & concipe vim gravita­
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                  tis agere ſolummodo in ſuperficiem ſupe­
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                  riorem Orbis cujuſque, & æquales eſſe a­
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                  ctiones in æquales partes ſuperficierum om­
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                  nium. </s>
                  <s>Premitur ergo ſuperficies ſuprema
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                    <emph type="italics"/>
                  AE
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                  vi ſimplici gravitatis propriæ, qua &
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                  omnes Orbis ſupremi partes & ſuperficies
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                  ſecunda
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                  BFK
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                  (per Prop. </s>
                  <s>XIX.) pro menſura ſua æqualiter pre­
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                  muntur. </s>
                  <s>Premitur præterea ſuperficies ſecunda
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                  BFK
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                  vi propriæ
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                  gravitatis, quæ addita vi priori facit preſſionem duplam. </s>
                  <s>Hac
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                  preſſione, pro menſura ſua, & inſuper vi propriæ gravitatis, id eſt
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                  preſſione tripla, urgetur ſuperficies tertia
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                  CGL.
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                  Et ſimiliter preſ­
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                  ſione quadrupla urgetur ſuperficies quarta, quintupla quinta, &
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                  ſic deinceps. </s>
                  <s>Preſſio igitur qua ſuperficies unaquæque urgetur,
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                  non eſt ut quantitas ſolida fluidi incumbentis, ſed ut numerus Or­
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                  bium ad uſque ſummitatem fluidi; & æquatur gravitati Orbis infi­
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                  mi multiplicatæ per numerum Orbium: hoc eſt, gravitati ſolidi cu­
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                  jus ultima ratio ad Cylindrum præfinitum, (ſi modo Orbium au­
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                  geatur numerus & minuatur craſſitudo in infinitum, ſic ut actio
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                  gravitatis a ſuperficie infima ad ſupremam continua reddatur) fiet
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                  ratio æqualitatis. </s>
                  <s>Suſtinet ergo ſuperficies infima pondus Cylindri </s>
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