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Philosophical Principles Of Natural Religion, fol. 51

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: 0.83.

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

The machine reads it as

  1. LeHECHAC
  2. is mucta
  3. sumber
  4. at
  5. nd in tHe
  6. he Came
  7. t che se
  8. chan che
  9. perbolict
  10. Figure)
  11. be intr-
  12. reInleri
  13. infinitelu
  14. 1D ChC
  15. psurd.
  16. b
  17. Po eltus ic is anlvered, thac tho cact oF
  18. Thele, be equal co an infinite Number ot
  19. Unicies, vec che Spaces are noc equal, be-
  20. cause chac infinice Number, is noc che lame
  21. in boch, and che realon wty chac infinite
  22. Number, is noc che lame in boch, is be-
  23. cause (cho Boch F C and FC MeCE aE dm
  24. infinice Dictance, wich AB, VCF) FC ICCES
  25. looner Wich AB, chan FC wich AB, i. c.
  26. luppolins che Distance berwcen A and B
  27. (the Concurle oF F D and AB) = ∞ a
  28. and ehie Distance bermeen A and B (che
  29. Concurse oF F C wich AB, it I may bc al-
  30. ToW deo speak(0) = ∞ b, then b will
  31. Be preater chan a. And conlequentty We
  32. Mall hare AFDCB = 1 F 1 F 1 F 1 F 1.
  33. esc. = ∞c X 1, and AF C B = 1 F e
  34. F1 = 1, CsC. = ∞ d X 1, Where d, 15
  35. oreater than c and cheretore AFGD
  36. AFDCB. NNOL omly (O, BUE a P aralleto-
  37. oram, Wrhose Breadch is e, and Whose
  38. Venech is e a, (or che Distance betureen
  39. A and tHe Concurse OF F C Wich AB) i5
  40. GreAEEF, Than etie Fyperbolick Area.
  41. 20
  42. make chis yet more plain, let Ak = OL
  43. D d d 2
  44. (CEE

Cite

Philosophical Principles Of Natural Religion, fol. 51. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0491?run=74