Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  DE MOTU
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                  CORPORUM</s>
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                  SECTIO V.
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                  De Denſitate & Compreſſione Fluidorum, deque
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                  Hydroſtatica.
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                  Definitio Fluidi.
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                  Fluidum eſt corpus omne cujus partes cedunt vi cuicunQ.E.I.latæ,
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                  & cedendo facile moventur inter ſe.
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                  PROPOSITIO XIX. THEOREMA XIV.
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                  Fluidi homogenei & immoti quod in vaſe quocunQ.E.I.moto clau­
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                  ditur & undique comprimitur, partes omnes (ſepoſita conden­
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                  ſationis, gravitatis & virium omnium centripetarum conſide­
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                  ratione) æqualiter premuntur undique, & abſque omni motu a
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                  preſſione illa orto permanent in locis ſuis.
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                  Caſ.
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                  1. In vaſe ſphærico
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                  ABC
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                  claudatur & uniformiter com­
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                  primatur fluidum undique: dico quod ejuſdem pars nulla ex illa
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                  preſſione movebitur. </s>
                  <s>Nam ſi pars aliqua
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                  D
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                  moveatur, neceſſe eſt ut omnes hujuſmodi
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                  partes, ad eandem a centro diſtantiam un­
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                  dique conſiſtentes, ſimili motu ſimul move­
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                  antur; atque hoc adeo quia ſimilis & æ­
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                  qualis eſt omnium preſſio, & motus omnis
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                  excluſus ſupponitur, niſi qui a preſſione il­
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                  la oriatur. </s>
                  <s>Atqui non poſſunt omnes ad
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                  centrum propius accedere, niſi fluidum ad
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                  centrum condenſetur; contra Hypotheſin. </s>
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                  Non poſſunt longius ab eo recedere, niſi
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                  fluidum ad circumferentiam condenſetur;
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                  etiam contra Hypotheſin. </s>
                  <s>Non poſſunt ſervata ſua a centro di­
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                  ſtantia moveri in plagam quamcunque, quia pari ratione movebun­
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                  tur in plagam contrariam; in plagas autem contrarias non poteſt </s>
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