Newton, Isaac, Philosophia naturalis principia mathematica, 1713

Table of figures

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                  ciſſim (per motus Legem tertiam) æqualem ab eadem reactionem
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                  patiantur, hoc eſt, æqualiter reſiſtantur: manifeſtum eſt etiam
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                  quod in ejuſdem denſitatis Fluidis Elaſticis, ubi velociſſime mo­
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                  ventur, æquales ſint eorum reſiſtentiæ quam proxime; ſive Fluida
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                  illa ex particulis craſſioribus conſtent, ſive ex omnium ſubtiliſſi­
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                  mis conſtituantur. </s>
                  <s>Ex Medii ſubtilitate reſiſtentia projectilium ce­
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                  lerrime motorum non multum diminuitur.
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                  DE MOTU
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                  CORPORUM.</s>
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                  Corol.
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                  6. Hæc omnia ita ſe habent in Fluidis, quorum vis Ela­
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                  ſtica ex particularum viribus centrifugis originem ducit. </s>
                  <s>Quod ſi
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                  vis illa aliunde oriatur, veluti ex particularum expanſione ad inſtar
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                  Lanæ vel ramorum Arborum, aut ex alia quavis cauſa, qua motus
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                  particularum inter ſe redduntur minus liberi: reſiſtentia, ob mi­
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                  norem Medii fluiditatem, erit major quam in ſuperioribus Co­
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                  rollariis.
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                  PROPOSITIO XXXIV. THEOREMA XXVIII.
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                  Si Globus & Cylindrus æqualibus diametris deſcripti, in Medio
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                  raro ex particulis æqualibus & ad æquales ab invicem diſtan­
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                  tias libere diſpoſitis conſtante, ſecundum plagam axis Cylindri,
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                  æquali cum velocitate moveantur: erit reſiſtentia Globi duplo
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                  minor quam reſiſtentia Cylindri.
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                  <s>Nam quoniam actio Medii in corpus eadem eſt (per Legum
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                  Corol, 5.) ſive corpus in Medio quieſcente moveatur, ſive Medii
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                  particulæ eadem cum velocitate impingant in corpus quieſcens:
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                  conſideremus corpus tanquam quieſcens, & videamus quo impetu
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                  urgebitur a Medio movente.
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                  Deſignet igitur
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                  ABKI
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                  cor­
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                  pus Sphæricum centro
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                  C
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                  ſe­
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                  midiametro
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                  CA
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                  deſcriptum,
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                  & incidant particulæ Medii
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                  data cum velocitate in cor­
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                  pus illud Sphæricum, ſecun­
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                  dum rectas ipſi
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                  AC
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                  paralle­
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                  las: Sitque
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                  FB
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                  ejuſmodi
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                  recta. </s>
                  <s>In ea capiatur
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                  LB
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                  ſemidiametro
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                  CB
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                  æqualis,
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                  & ducatur
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                  BD
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                  quæ Sphæram tangat in
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                  B.
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                  In
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                  KC
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                  &
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                  BD
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                  de-</s>
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