Search the Nachlass

Philosophical Principles Of Natural Religion, fol. 49

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: 0.74.

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

The machine reads it as

  1. e2
  2. heometri.
  3. thesum
  4. ehe last
  5. There.
  6. chelalt,
  7. 00 1 -)
  8. From 1
  9. 1 +. 2
  10. ile every
  11. recedine
  12. 15 ∞ 1,
  13. IS CXCEDE
  14. by che
  15. is obser-
  16. 1. 8 esc.
  17. et
  18. -= 27
  19. AatUTat
  20. esc. Consinued c0 ∞0 B, BC
  21. cause there are more Perms in ehe
  22. Frt, chan in che second; che second dis
  23. veroins Falter, and at a grearer Hace chan
  24. he Erst, arrires aC C 1 lOOner, 1. c. atTeF
  25. a Perver Number oF Terms chan. che
  26. Fust. 30 likcevile, it che Series bC. 1 F 4
  27. F 16 7 64, ec. Concinued 10 ∞0 n. chen
  28. every Term = is criple oF aII ehe SMI
  29. ofchie precedine Terms, and con sequendy
  30. ehe sum oF aII = ∞ 4; and univer(aII
  31. che Geometrical Propression besinins a1
  32. end goins on continually c0co r. in che
  33. Ratio, Ot B EOM, VIZ. 1 + 1 = n 1. n
  34. 1t
  35. Oc. Erecy Term = 1 ISn=L CimeS, ChC
  36. Sum oF all che precedins, and becaule
  37. che la is ∞ 1 cheretore ehe Sum et
  38. all ehe precedine, is
  39. e
  40. ∞T
  41. B 1
  42. nieum
  43. 1. 2nd
  44. consequencty ehe sum ot the lalt, atct
  45. oF alI che precedins, 15 ∞ x +
  46. 21
  47. 0o
  48. e
  49. =Cby che Rules oF Addition) ca
  50. LaBY, es FOr elle EWO Seriess
  51. F2
  52. +
  53. F8, esc. cominued W
  54. I dd
  55. and

Cite

Philosophical Principles Of Natural Religion, fol. 49. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0489?run=74