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Philosophical Principles Of Natural Religion, fol. 32

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: 0.79.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. motorhiea
  2. principiez
  3. rro5 be a5 = c0 1, rhen x =3. and (o in
  4. Otier Cales.
  5. It che Arst Perm ot the Series, and otchie
  6. Ratio OE che Terms be che Pame, viz. it
  7. r = a, chen y=
  8. p2 C 5 V
  9. re, and consequent
  10. ly ilche trst befinice, and che last nochin8.
  11. D= r-3 25 allo it the first benoching, and
  12. chelast tinice y=
  13. 5 0
  14. IEche Airst be finice, and che las nochine
  15. and ic be required, to find che infinitely
  16. EmaIL equal pare ot ehe sum ot such 2 PrO-
  17. grettion, chen ∞ x= r- and conlequent.
  18. Wy X = (by che Rules oF Division ∞r -∞
  19. For Lxemple, il che Erst Perm oF che Se.
  20. dies, ond oF che Rario oF ehe PerS, DCI,
  21. and r 1O5, a5 1 10 =, chen x =
  22. 31 r
  23. ∞ H ∞
  24. ∞. 1. C. an infinite Number, oE tucti (mall
  25. equal paris is equiralene 10 2.
  26. IP ic be required, co find che Ratio oF cho
  27. Perms OE a Geometrical Progression, concinu
  28. allys descendins, Wrhose tust Term beins, a
  29. irem duancies, may have is, Cu ae, late
  30. di
  31. equal
  32. equa
  33. bc
  34. I
  35. ande
  36. cheFI
  37. Ratio
  38. Cale
  39. qual,
  40. lup
  41. auid et
  42. CBHCI
  43. LC. MM
  44. becaul
  45. C0 2
  46. ac dist
  47. dirterer
  48. Jact ali
  49. lels etia
  50. Series
  51. puethe
  52. aHd eHe
  53. aIcterer

Cite

Philosophical Principles Of Natural Religion, fol. 32. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0472?run=74