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[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 417

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: 0.82.

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The machine reads it as

  1. PRINOIPTA MATHEMATICA.
  2. 1
  3. TTXPCX AZ ad AT cub, erit angulus C P_ (seu Inclinationis LIven
  4. horaria Variacio) ad angulum 33. 10. 333 ut IZZAZ XF C FCRT1VS.
  5. f ad AT cub. Q. F. I.
  6. FIxC ita se habene ex FIypochesi quod Luna in Orbe Circulari
  7. uniformiter grratur. Ouod s Orbis ille F llipricus (iE, motus me
  8. dioeris Nlodorum minuetur in racione axis minoris ad axem majo
  9. rem; uti supra expolicum est. Ec in eadem ratione minuetur
  10. etiam Inclinationis Variacio.
  11. Corol. T. Si ad Nn crigatur perpendiculum P F, Citque p M
  12. motus horarius Lunae in plano Rclipricae; ee perpendicula pR, MK
  13. in QT demissa ec uerinque producta OcCurrAnE YF in FY et B:
  14. erit IF ad AT ut HK ad Mp, ec TC ad FTp uE TZ ad AT:
  15. idcoque YYX TC equale kX FIpX FZ
  16. I
  17. N
  18. FIp NB ductae in rationem =: ec propterea Inclinationis Varia-
  19. A
  20. eio noraria ad 33, 10. 33 ut SIp MB ducta in AZX = = Z =
  21. 2d ATCub.
  22. A
  23. PC
  24. Corol. 2. Ideoque s Ferra ex Nodi singulis horis completis re-
  25. traherentur a locis luis novis, e in loca priora in instanci semper
  26. reducerentur, ut litus corum, per mensem inceorum periodicum,
  27. datus maneret; tora Inclinarionis Variatio tempore mensis illius
  28. FOret ad 33. 101. 337 ut 2goregatum omnium arcarum TIp MB,
  29. in revoluione puncti p genitarum, ec sub signis propriis + ee
  30. P
  31. conjunctarum, ductum in AZ, XFZX ∞ ad MPX AFcub. id
  32. ad MP X
  33. AZ cub. hoc eAt, ut circumterentia Aga duda in A Z X F Z.t
  34. ad 2MIpX AT quad.
  35. Corol. 3. Proinde in dato Nodorum licu, Variatio medioeris
  36. horaria, ex qua per mensem uniformiter continuata Variario illa
  37. menstrua generari poset, cAt ad 33. 10. 33 ut AZXFL
  38. L
  39. C ad 2AZ4 Eve v PDX 22KY
  40. TIh
  41. ad PGX4 AY, id

Cite

[Philosophiae Naturalis Principia Mathematica] Philosophiæ Naturalis Principia Mathematica, fol. 417. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1041163592:0451?run=74