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Philosophical Principles Of Natural Religion, fol. 10

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: 0.85.

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

The machine reads it as

  1. haotorhical Drincirles
  2. plies no Concradiction, ic Chould bo. Aill
  3. soins on in Mulciplyins; che Produce o
  4. all vrhich Mulciplications, and che sum ot
  5. all irhich Products, ould make a Number
  6. Preater chen any sinite onc, hor great soe
  7. ver, 1. e. 2n infinite Dumber. Litevile iES
  8. cercam thac berreen any riro given Terms
  9. an infinite Number, Ot Geometricat mean
  10. Proporrionals, can imply no Concradierion,
  11. tince e can alsion cheir sum; chus be.
  12. erixe = andoche sum of an intinice Num
  13. ber ot mean Proportionals, at the race OF 2
  14. to1 is equal ro Ulnicy; and since the Sum
  15. is altienable, the Parts cop imply no C on
  16. eradiction; and universally becrixe =ando,
  17. there and an intinire Number oF mean
  18. Proporcionals, in che ratio ot a co1, wtiole
  19. Sum is-
  20. lo
  21. = and che meon Proporcionals
  22. chemselres, are C. Behides, che
  23. Wrhole abstract Geometry, depends uxon ehe
  24. Dollibilier oE infinicely greac, and smail
  25. Ouancicies, and che Truchs dilcorer d by
  26. Merhods, whichi depend uxon chele Sup.
  27. 0 375
  28. 20 de
  29. a posirions,
  30. Poli
  31. Wvhich 1
  32. arc100
  33. Ilelirarie
  34. quaincec
  35. necolels.
  36. chese chis
  37. A0IS VI
  38. Contrac
  39. 15 evider
  40. boch FX
  41. dels, anc
  42. ble; 10
  43. Univerle
  44. hence, c
  45. De AilI F
  46. IS Thc cer
  47. lame rie
  48. ocher bac
  49. and vhe
  50. ehe Limit.
  51. vet a dice
  52. USs there
  53. mits, tor

Cite

Philosophical Principles Of Natural Religion, fol. 10. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/797370323:0450?run=74