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Philosophical Principles Of Natural Religion, fol. 50

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: 0.78.

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

The machine reads it as

  1. C0g. rb
  2. L0G. V.
  3. hnoloptical
  4. and _ f 5 E +
  5. Drineime
  6. che Number ot Terms in che first, is much
  7. Tever chan in che second, For the Bumber
  8. ot Terms as has been Chevon, is 1 Ls
  9. Which in che frst becomes
  10. 208. ∞
  11. 2.38. ∞
  12. neat
  13. 205. 2. and in CHe
  14. Second 1os. 6. boch Which have che Came
  15. Numerators, buc che Denominator ot che
  16. first is much preater, chan chac olche sc
  17. cond, und consequency che Number ol
  18. Terms in che tirst, is much less, chan rhe
  19. Number oF Terms in che second.
  20. le may be objected, chacche Lyperbolick
  21. Area AFDCB (scechesollomins Fioure,
  22. is tound equal 10 1 + 1 +. 1 +, esc. COH.
  23. cinued eill che Number oE Perms be infi.
  24. nice, and (cakins AB = 1 = cocheinleri
  25. bed lquare) ret che Area ot che infinitely
  26. lons Parallelogram AFC Bis no more chan
  27. 1 + 1 + 1, eoc. concinve d in infinitum,
  28. trom irhence ic ould scemco Follom chac
  29. che SpacC AF DCB, Were cqual 10 chc
  30. Paralteloeram AFC B, Which is absid..
  31. e 3
  32. anic
  33. cause
  34. in bc
  35. um
  36. caule
  37. infinit
  38. 1
  39. I
  40. at
  41. b
  42. te
  43. oram
  44. PenBC
  45. aHC
  46. oreate
  47. matie
  48. ch

Cite

Philosophical Principles Of Natural Religion, fol. 50. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0490?run=74