Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  DE MOTU
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                  CORPORUM</s>
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                  PROPOSITIO XLVIII. THEOREMA XXXVIII.
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                  Pulſuum in Fluido Elaſtico propagatorum velocitates, ſunt in ra­
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                  tione compoſita ex ſubduplicata ratione vis Elaſticæ directe &
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                  ſubduplicata ratione denſitatis inverſe; ſi modo Fluidi vis
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                  Elaſtica ejuſdem condenſationi proportionalis eſſe ſupponatur.
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                  Caſ.
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                  1. Si Media ſint homogenea, & pulſuum diſtantiæ in his
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                  Mediis æquentur inter ſe, ſed motus in uno Medio intenſior ſit:
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                  contractiones & dilatationes partium analogarum erunt ut iidem
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                  motus. </s>
                  <s>Accurata quidem non eſt hæc proportio. </s>
                  <s>Verum tamen
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                  niſi contractiones & dilatationes ſint valde intenſæ, non errabit
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                  ſenſibiliter, ideoque pro Phyſice accurata haberi poteſt. </s>
                  <s>Sunt
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                  autem vires Elaſticæ motrices ut contractiones & dilatationes; &
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                  velocitates partium æqualium ſimul genitæ ſunt ut vires. </s>
                  <s>Ideoque
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                  æquales & correſpondentes pulſuum correſpondentium partes,
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                  itus & reditus ſuos per ſpatia contractionibus & dilatationibus
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                  proportionalia, cum velocitatibus quæ ſunt ut ſpatia, ſimul pera­
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                  gent: & propterea pulſus, qui tempore itus & reditus unius lati­
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                  tudinem ſuam progrediendo conficiunt, & in loca pulſuum pro­
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                  xime præcedentium ſemper ſuccedunt, ob æqualitatem diſtantia­
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                  rum, æquali cum velocitate in Medio utroque progredientur. </s>
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                  Caſ.
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                  2. Sin pulſuum diſtantiæ ſeu longitudines ſint majores in
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                  uno Medio quam in altero; ponamus quod partes correſponden­
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                  tes ſpatia latitudinibus pulſuum proportionalia ſingulis vicibus
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                  eundo & redeundo deſcribant: & æquales erunt earum contra­
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                  ctiones & dilatationes. </s>
                  <s>Ideoque ſi Media ſint homogenea, æqua­
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                  les erunt etiam vires illæ Elaſticæ motrices quibus reciproco motu
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                  agitantur. </s>
                  <s>Materia autem his viribus movenda, eſt ut pulſuum
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                  latitudo; & in eadem ratione eſt ſpatium per quod ſingulis vici­
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                  bus eundo & redeundo moveri debent. </s>
                  <s>Eſtque tempus itus &
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                  reditus unius in ratione compoſita ex ratione ſubduplicata mate­
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                  riæ & ratione ſubduplicata ſpatii, atque adeo ut ſpatium. </s>
                  <s>Pulſus
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                  autem temporibus itus & reditus unius eundo latitudines ſuas
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                  conficiunt, hoc eſt, ſpatia temporibus proportionalia percurrunt;
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                  & propterea ſunt æquiveloces. </s>
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                  Caſ
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                  3 In Mediis igitur denſitate & vi Elaſtica paribus, pulſus
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                  omnes ſunt æquiveloces. </s>
                  <s>Quod ſi Medii vel denſitas vel vis Ela­
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                  ſtica intendatur, quoniam vis motrix in ratione vis Elaſticæ, &
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                  materia movenda in ratione denſitatis augetur; tempus quo mo-</s>
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