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Philosophical Principles Of Natural Religion, fol. 34

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: 0.75.

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

The machine reads it as

  1. 34
  2. DBBiIOIOVBUAI principICS
  3. orettion, make ic equal eothe suanciez oiren,
  4. cotrich all cheir Sums Monld be equal; jou
  5. ill find ehe untnown Perm ot ete Series
  6. Couche; For Exemple, il ic vere requied
  7. eo find a Series bexinins ac =, and havins
  8. IIS Ratio = 205. rhich Series Bould be equal.
  9. tortie Sum oF cicler ol che ero precedine
  10. Progreltions, Wrhich vere equal t0 2. then
  11. pin
  12. =, (in chis C a (C) -
  13. 5)
  14. 2 (L 30
  15. 3
  16. 9
  17. 275
  18. = 2. aud consequenely s= 2. Wrheretore,
  19. che tirst, Permm oFche Series, and oF che Ratio,
  20. bein3
  21. , and che second Term oF the Ra.
  22. tio chie Series iE SelF 15, L +. 2. 1 25
  23. 8
  24. in infinitum, = 2. For - 3
  25. C
  26. n 94 5
  27. 1083 d C.
  28. 9 - 27 X 3
  29. = 2. C0 chatnoW, eo find
  30. on infinite Number oF such Geomerrical
  31. decoorestions, besinins ac difterene Oudn-
  32. llieies, and soins on in differene Ratios,
  33. rehare no more co do, buc co torm an
  34. improxer traction (25 ics calld) irhose
  35. Plumeracor beine any Numiber such, chac
  36. ies Demomitaror, consstin dP CWOIL exHS,
  37. D
  38. E
  39. Ari
  40. LHEV
  41. Fori
  42. hav.
  43. R
  44. P’ert
  45. 10
  46. Com
  47. the A
  48. hon.
  49. equat
  50. Prece
  51. 1
  52. et
  53. PaC
  54. ed
  55. BC
  56. 155
  57. c

Cite

Philosophical Principles Of Natural Religion, fol. 34. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0474?run=74