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Philosophical Principles Of Natural Religion, fol. 30

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: 0.72.

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The machine reads it as

  1. 30
  2. hintorhical einciples
  3. Mulciplication,) Or che insinitelu, (nZH, equa
  4. pare oC such 2 Sum, 1sequal r0 an infipile
  5. Number ot halves.
  6. IF instead ot che common Difference,
  7. the Number oF Terms =t, had been siven,
  8. chen had y, been equal 10
  9. 1 a. 12
  10. 2
  11. 11C3d
  12. a be pur equal co a tinice Zuaneiey, 2 = c
  13. and F = ∞ 1. cheny =
  14. ∞ a ∞
  15. ∞ a
  16. (by che
  17. 2 etde ABVadd LDEBB
  18. Rules ot Addition). and che infinitelr
  19. mall equal pare ot such a dum, Or c 1)
  20. 3 C = 2; Tor Fxample, il a = 10, 2=
  21. 0
  22. 1= ∞ 1, then v = ∞ 5. Or chesum oF. 2II
  23. che polsible drithmetical mean Proportio.
  24. als, becreen 12 ando, is equal eo an infi.
  25. nite Number ofFireS, Or Fire is che infinitely
  26. tinall equal pare ot suct a Sum ot Arichme-
  27. tical mean ProportionalS. leritis Bns
  28. O Suppole a = ∞ n, v = ∞ My i
  29. ∞ = Pn = ∞? Pm
  30. 12
  31. chus il infinites miohc be
  32. Suxposd, in an drichmetical Progrestion, e
  33. phould have cheir sum; tor Lxemple, il
  34. d et.
  35. n = 2, M == 3, P = 1, Theny:
  36. 3t
  37. 3 3134d
  38. 8e2. +6) 3-
  39. 23 _ Eb
  40. by
  41. IMAIA
  42. 3
  43. ROVIO
  44. i975)
  45. COncInI
  46. che lal
  47. and che
  48. il ehe
  49. CoreS
  50. CO1, Et
  51. ginnin
  52. in8 on
  53. 2
  54. Dart O
  55. An
  56. the inti
  57. BFEISBE
  58. ∞ x
  59. 2
  60. 195 b0

Cite

Philosophical Principles Of Natural Religion, fol. 30. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0470?run=74