Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  tione qualibet, & exponatur ratio illa per longitudinem quamvis
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                    <arrow.to.target n="note195"/>
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                  SM.
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                  Deinde per computationem, ex longitudine illa aſſumpta
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                  DP,
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                  inveniantur longitudines
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                  DF, Df,
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                  ac de ratione (
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                  Ef/DF
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                  ) per
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                  calculum inventa, auferatur ratio eadem
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                  per experimentum inventa, & exponatur
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                  differentia per perpendiculum
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                  MN.
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                  Idem
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                  fac iterum ac tertio, aſſumendo ſemper
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                  novam reſiſtentiæ ad gravitatem rationem
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                    <emph type="italics"/>
                  SM,
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                  & colligendo novam differentiam
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                    <emph type="italics"/>
                  MN.
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                  Ducantur autem differentiæ affirmativæ ad unam partem
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                  rectæ
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                  SM,
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                  & negativæ ad alteram; & per puncta
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                  N, N, N
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                  agatur
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                  ourva regularis
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                  NNN
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                  ſecans rectam
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                  SMMM
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                  in
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                  X,
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                  & erit
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                  SX
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                  vera ratio reſiſtentiæ ad gravitatem, quam invenire oportuit. </s>
                  <s>Ex
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                  hac ratione colligenda eſt longitudo
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                  DF
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                  per calculum; & longi­
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                  tudo quæ ſit ad aſſumptam longitudinem
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                  DP,
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                  at longitudo
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                  DF
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                  per experimentum cognita ad longitudinem
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                  DF
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                  modo inventam,
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                  erit vera longitudo
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                  DP.
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                  Qua inventa, habetur tum Curva linea
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                    <emph type="italics"/>
                  DraF
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                  quam corpus deſcribit, tum corporis velocitas & reſiſten­
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                  tia in locis ſingulis. </s>
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                  LIBER
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                  SECUNDUS.</s>
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                  Scholium.
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                    <emph.end type="center"/>
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                  <s>Cæterum, reſiſtentiam corporum eſſe in ratione velocitatis, Hy­
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                  potheſis eſt magis Mathematica quam Naturalis. </s>
                  <s>Obtinet hæc ra­
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                  tio quamproxime ubi corpora in Mediis rigore aliquo præditis tar­
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                  diſſime moventur. </s>
                  <s>In Mediis antem quæ rigore omni vacant re­
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                  ſiſtentiæ corporum ſunt in duplicata ratione velocitatum. </s>
                  <s>Etenim
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                  actione corporis velocioris communicatur eidem Medii quantitati,
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                  tempore minore, motus major in ratione majoris velocitatis; ad­
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                  eoque tempore æquali (ob majorem Medii quantitatem perturba­
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                  tam) communicatur motus in duplicata ratione major; eſt que re­
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                  ſiſtentia (per motus Legem II & III) ut motus communicatus. </s>
                  <s>
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                  Videamus igitur quades oriantur motus ex hac lege Reſiſtentiæ. </s>
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