Newton, Isaac, Philosophia naturalis principia mathematica, 1713

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                  ſtentiam fili, quæ certe permagna erat, ac de pendulorum inventa
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                  reſiſtentia ſubduci debet. </s>
                  <s>Hanc accurate definire non potui, ſed
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                  majorem tamen inveni quam partem tertiam reſiſtentiæ totius mi­
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                  noris penduli; & inde didici quod reſiſtentiæ Globorum, dempta
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                  fili reſiſtentia, ſunt quam proxime in duplicata ratione diametro­
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                  rum. </s>
                  <s>Nam ratio 7 1/3-1/3 ad 1-1/3, ſeu 10 1/2 ad 1, non longe abeſt a
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                  diametrorum ratione duplicata (11 11/16) ad 1.
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                  DE MOTU
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                  CORPORUM</s>
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                  <s>Cum reſiſtentia fili in Globis majoribus minoris ſit momenti,
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                  tentavi etiam experimentum in Globo cujus diameter erat 18 1/4 di­
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                  gitorum. </s>
                  <s>Longitudo penduli inter punctum ſuſpenſionis & cen­
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                  trum oſcillationis erat digitorum 122 1/2, inter punctum ſuſpenſionis
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                  & nodum in filo 109 1/2 dig. Arcus primo penduli deſcenſu a no­
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                  do deſcriptus, 32 dig. Arcus aſcenſu ultimo poſt oſcillationes
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                  quinque ab eodem nodo deſcriptus, 28 dig. Summa arcuum ſeu
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                  arcus totus oſcillatione mediocri deſcriptus, 60 dig. Differentia
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                  arcuum 4 dig. Ejus pars decima ſeu differentia inter deſcenſum &
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                  aſcenſum in oſcillatione mediocri 2/5 dig. Ut radius 109 1/2 ad radi­
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                  um 122 1/2, ita arcus totus 60 dig. oſcillatione mediocri a nodo de­
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                  ſcriptus, ad arcum totum 67 1/8 dig. oſcillatione mediocri a centro
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                  Globi deſcriptum: & ita differentia 2/5 ad differentiam novam 0,4475.
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                  Si longitudo penduli, manente longitudine arcus deſcripti, augere­
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                  tur in ratione 126 ad 122 1/2; tempus oſcillationis augeretur & velo­
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                  citas penduli diminueretur in ratione illa ſubduplicata, maneret
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                  vero arcuum deſcenſu & ſubſequente aſcenſu deſcriptorum diffe­
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                  rentia 0,4475. Deinde ſi arcus deſcriptus augeretur in ratione
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                  (124 1/31) ad 67 1/8, differentia iſta 0,4475 augeretur in duplicata illa ra­
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                  tione, adeoque evaderet 1,5295. Hæc ita ſe haberent, ex hy­
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                  potheſi quod reſiſtentia Penduli eſſet in duplicata ratione velo­
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                  citatis. </s>
                  <s>Ergo ſi pendulum deſcriberet arcum totum (124 1/31) di­
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                  gitorum, & longitudo ejus inter punctum ſuſpenſionis & cen­
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                  trum oſcillationis eſſet 126 digitorum, differentia arcuum de­
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                  ſcenſu & ſubſequente aſcenſu deſcriptorum foret 1,5295 digito­
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                  rum. </s>
                  <s>Et hæc differentia ducta in pondus Globi penduli, quod erat
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                  unciarum 208, producit 318,136. Rurſus ubi pendulum ſuperius
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                  ex Globo ligneo conſtructum, centro oſcillationis, quod a puncto
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                  ſuſpenſionis digitos 126 diſtabat, deſcribebat arcum totum (124 1/31)
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                  digitorum, differentia arcuum deſcenſu & aſcenſu deſcriptum fuit
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                  (126/121) in (8/9 2/3), quæ ducta in pondus Globi, quod erat unciarum (57 1/22),
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                  producit 49,396. Duxi autem differentias haſce in pondera Glo­
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                  borum ut invenirem eorum reſiſtentias. </s>
                  <s>Nam differentiæ ori-</s>
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