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Philosophical Principles Of Natural Religion, fol. 31

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: 0.69.

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

The machine reads it as

  1. e
  2. 3H, equel
  3. insipile
  4. iflerence,
  5. en giveu,
  6. ortere il
  7. 15O
  8. (by che
  9. add LdESA
  10. infiniceli
  11. Or 17
  12. 0
  13. 20
  14. am ot 2II
  15. COpOrcIO.
  16. e infinitelr
  17. Arichme.
  18. DIA
  19. = ∞ B
  20. 1tB
  21. niotic be
  22. lion, We
  23. L∞) 3-
  24. H 2
  25. by
  26. de
  27. Baturai
  28. By che Rules OF Addition)
  29. and the
  30. infinicelu simall equal Pare oE sucti a Sut,
  31. OF ∞ 1
  32. 1
  33. s
  34. ∞
  35. 2 C= c
  36. norio a3ge Lsc
  37. 2
  38. asdet
  39. t
  40. 29, SI XIII. In 2 Geometrical Progrection
  41. concinued, lec che Rrft Term be calld a,
  42. che last V, ehie Racio OF che TerIS r EO S
  43. and cheir Sum y, chen y = r a c 5v
  44. 0. Where
  45. it ehe frst Term be ∞, che lasE o, y bc.
  46. Cornes
  47. r ∞
  48. For Lxample, lec r eos be 252
  49. Eo 1, then a Ceometrical Series continued, Be-
  50. oinnins ac ∞o e, and ending ac 0, and g0.
  51. inis on ae luch arate, vix. che Series ∞ f
  52. p ∞ X 8, _c. in infinitum, usque ad 0.
  53. ∞ 2
  54. = ∞ 2. Or che infinitely CmalL equal
  55. pare oF Such a Progreltion i5 2.
  56. And univerlally, it ic be required eo tind
  57. ehie intinicely lmaIl equal part ot SucHPrO.
  58. BTelONS, lec chac pare be called is che
  59. co
  60. et
  61. 1e
  62. co n
  63. and consequency v L
  64. CY cheRules oE Divisions,
  65. 195 bC25 2 c0 1, chen x
  66. ∞ p ∞ 5
  67. EY
  68. 2. HF
  69. io

Cite

Philosophical Principles Of Natural Religion, fol. 31. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0471?run=74