Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  PROPOSITIO XXXVIII. THEOREMA XXX.
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                  DE MOTU
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                  CORPORUM</s>
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                  Globi, in Fluido compreſſo infinito & non elaſtico uniformiter progre­
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                  dientis, reſiſtentia eſt ad vim qua totus ejus motus, quo tempore
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                  octo tertias partes diametri ſuæ deſcribit, vel tolli poſſit vel
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                  generari, ut denſitas Fluidi ad denſitatem Globi quamproxime.
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                  <s>Nam Globus eſt ad Cylindrum circumſcriptum ut duo ad tria;
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                  & propterea Vis illa, quæ tollere poſſit motum omnem Cylindri
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                  interea dum Cylindrus deſcribat longitudinem quatuor diametro­
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                  rum, Globi motum omnem tollet interea dum Globus deſcribat
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                  duas tertias partes hujus longitudinis, id eſt, octo tertias partes
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                  diametri propriæ. Reſiſtentia autem Cylindri eſt ad hanc Vim
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                  quamproxime ut denſitas Fluidi ad denſitatem Cylindri vel Globi,
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                  per Prop.XXXVII; & Reſiſtentia Globi æqualis eſt Reſiſtentiæ Cy­
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                  lindri, per Lem. V, VI, VII.
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                  Q.E.D.
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                  Corol.
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                  1. Globorum, in Mediis compreſſis infinitis, reſiſtentiæ ſunt
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                  in ratione quæ componitur ex duplicata ratione velocitatis, & du­
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                  plicata ratione diametri, & duplicata ratione denſitatis Mediorum.
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                  Corol.
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                  2 Velocitas maxima quacum Globus, vi ponderis ſui com­
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                  parativi, in fluido reſiſtente poteſt deſcendere, ea eſt quam acqui­
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                  rere poteſt Globus idem, eodem pondere, abſque reſiſtentia caden­
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                  do & caſu ſuo deſcribendo ſpatium quod ſit ad quatuor tertias
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                  partes diametri ſuæ ut denſitas Globi ad denſitatem Fluidi. </s>
                  <s>Nam
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                  Globus tempore caſus ſui, cum velocitate cadendo acquiſita, de­
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                  ſcribet ſpatium quod erit ad octo tertias diametri ſuæ, ut denſitas
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                  Globi ad denſitatem Fluidi; & vis ponderis motum hunc generans,
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                  erit ad vim quæ motum eundem generare poſſit quo tempore Glo­
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                  bus octo tertias diametri ſuæ eadem velocitate deſcribit, ut denſitas
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                  Fluidi ad denſitatem Globi: ideoque per hanc Propoſitionem, vis
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                  ponderis æqualis erit vi Reſiſtentiæ, & propterea Globum accele­
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                  rare non poteſt.
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                  Corol.
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                  3. Data & denſitate Globi & velocitate ejus ſub initio
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                  motus, ut & denſitate fluidi compreſſi quieſcentis in qua Globus
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                  movetur; datur ad omne tempus & velocitas Globi & ejus reſi­
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                  ftentia & ſpatium ab eo deſcriptum, per Corol. 7. Prop. XXXV. </s>
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