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Philosophical Principles Of Natural Religion, fol. 37

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: 0.80.

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

The machine reads it as

  1. Rario
  2. CnaII
  3. estion.
  4. MMaII
  5. chrecs
  6. And
  7. l Pro-
  8. finice
  9. infinite
  10. Pro.
  11. and
  12. Unicu
  13. parto,
  14. 2=
  15. A
  16. (uct
  17. iple or
  18. ne Ot
  19. n8 aC
  20. et ies
  21. IC Set
  22. vins
  23. -OM
  24. Satural relision
  25. on in che Ratio OE 1 1O 2. VIZ. 1
  26. 8 + 16, ec. in infinitum = ∞ 2. 70u
  27. vould hare a Procrection, Wrhole sum
  28. chould be criple ot chis, rou will find iE
  29. 15
  30. S
  31. 1
  32. 36-7- 216
  33. 25 125. dec. in infinitum = ∞ 6.
  34. IE vou mould trave a Series, Wrhose sum
  35. Chould be equal eo an infinice Number of
  36. Unicies, chen IS 5 = , - 7 = L = ∞ . 10
  37. chac no such Ceometrical Progresion, Con
  38. Ficting ot an intinice Number olfinice
  39. Perms can, possibly be obrain d. 30 si 11
  40. And universally, vou may find aGeome
  41. trical Series beginins ac any giren Onana
  42. riey, lels than the second Term OF che Ratio
  43. and havine che first Perm oF che Ratio e
  44. qual roche first Term ol che Series, a Pay,
  45. vou may chus find luch 2 Series, havins
  46. is sum in any siven proporrion eo any o
  47. cher Geometrical Progression alligned; and
  48. conlequendy ou may tind an intiniey oE
  49. Geometrical Serress, begimine ac differene
  50. tinice Duanciries, and havins differene Ra,
  51. tios all equal co one anorher. L ec p 75
  52. and
  53. a Then SiF
  54. dadadd
  55. andr
  56. CCC:
  57. a
  58. H 1. d. in a 0o ud li it al Progrosron

Cite

Philosophical Principles Of Natural Religion, fol. 37. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0477?run=74