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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 141

Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.90.

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The machine reads it as

  1. PRINOIPTA MATHEMATICA.
  2. L a L.
  3. Oscillationis unius, uE arCUS FYY (tempUS quO COrpUS VY pervenICE LIBEK
  4. ad L) ad semiperipheriam Z_ M (teMPUS quO COrPUS YY Per- Pniuo
  5. veniet ad M.) Ec velociras corporis penduli in loco l CAt ad ve-
  6. locitarem ipsius in loco intimo Re, (hoc cHt, relocitas corporis JL in
  7. loco L. ad velocitarem ejus in loco Ci, sCu INCreMENEUM mOMENEa.
  8. neum linexe I L. ad incrementum momentancum lincx fPCF, arcu-
  9. bus I, HPK aequabili Auxu crescentibus) uc ordinacim applicata
  10. L. T ad radium GK, sIVC uE VSRg. = C Kg. adS R. Onde cum,
  11. in olcillarionibus inaequalibus, delcribantur aequalibus cemporibus
  12. arcus cotis olcillationum arcubus proporcionales; habeneur, Cx dd-
  13. eis temporibus, ex relocitates ec arcus delcripei in olcillacionibus
  14. universis. Ouxe eranc primo invenienda.
  15. Oscillentur jam P’unipendula
  16. corpora in Creloidibus diverts
  17. intra C2l0bO5 diverios, quorum
  18. diverlae sunt criam Vires abTolu-
  19. txes deleriptis: _c, A Vis abColu-
  20. ca Olobicujueris QOS dicaturV
  21. Vis acceleratrix qua Penduluuroe.
  22. cur in circumfereneia hujus Globi, M
  23. ubi incipie directe versus centrum
  24. ejus moveris eric uc distantia C Or-
  25. poris penduli a centro illo ex Vis absoluta Globi conjunctim, hoc
  26. CA, UE COXV. Jeaque lineola HYZ, quae sIE ut haec Vis accelera-
  27. erix COX V, describetur dato tempore; _c, si crigatur normalis YZ
  28. circumterentix OcCurrens in Z, areUS nalCenS YYZ denotabit datum
  29. illud cempus. FR autem arcus hic nascens Z in Cubduplicata ra-
  30. tione rectanguli G H Y, adCOque UE VGHZCOXV. Unde Tem-
  31. pus olcillacionis incegrae in Creloide RS (cum sit ut semiperi-
  32. Pheria TR M, quae oscillationem illam incegram denotat, directe,
  33. ucque arcus Z qui datum tempus similicer denocar, inverse) ACF
  34. uc C directe d V G HX CO X V invertes hoc eAt, ob x quales C. I
  35. e SR, UE V SA
  36. C.OXV live (per CorOI. PFOB. L) ut V AR
  37. AC XV
  38. ltagne Oscillationes in Globis et Cycloidibus omnibus, quibus.
  39. cunque cum Viribus absoluris Factae, sune in ratione quae compo.
  40. nitur ex subduplicata ratione lonsitudinis Fili directe, ec subdu-
  41. Plicata ratione distanciae inter punctum suspensionis de centrum
  42. Slobi

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 141. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0175?run=74