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Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 25v

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: 0.64.

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

The machine reads it as

  1. in integris b, C, Ed, V
  2. C
  3. =. VD - bcdC C= v + cocorb, v- 0c0 rb
  4. be
  5. si v- ocorb sit minus quam 1
  6. etunc Y + crb, est majas quam C
  7. ec
  8. et ita produceat in intem. S, sed irrationeibus non semper sest piatsa producto
  9. p
  10. quia ma-
  11. = V = coco bBC V = 11 CocdYb nendia ideri
  12. romtsmeacessu
  13. C rV + coco rb. Ergo C+ v = 1 p V + 200c0Y6
  14. vgitcoco sob epCa cocorb
  15. V-V A 1 , e0 (rb = C+ cocorb
  16. Ergo 2cocoYb
  17. cdco b, sit majus quam 1. erit
  18. etiam C majus tam tu utroque producente
  19. e
  20. ea erit C( v 4c0c0db et Cp V. cocYb
  21. 1
  22. +
  23. v
  24. s cocorb p v-1 c0wrb BC-D
  25. seltcor
  26. 2c
  27. e
  28. cu+ v- coco sb = l:m
  29. ubi mHl,
  30. nCF = lb+ cocVb
  31. M -l lnon est minor unituse Ergo n- l= m n+c seu m-ntH
  32. pH Caco 1O cant
  33. v acoco uc
  34. ubi B psas esse 0. Ergo cnrc +C= 1,v+cd ob
  35. e C BY(C4
  36. et
  37. cuci
  38. t+s
  39. v C
  40. e
  41. a
  42. s r
  43. tao
  44. n’est sevel inte
  45. totovb
  46. = C(n+D
  47. eens quant lunet
  48. Si v-cocorb sit minus quam
  49. nuc 1.
  50. fiet p- 10co 1b + e = 1. sed e est minusqum
  51. n
  52. quam l. et V est majus quam acdrb
  53. B DP+ cocorb Eit C+ f = e + co corb
  54. +∞ cocor = 1+CI
  55. s
  56. v idcorb
  57. s V = 1+C+f -e Sed t est majo. quam e
  58. sit
  59. Ergo 20p +1+C, rarjus crvr v= 1- C L cocorb
  60. = c + f-c0corb, fit 1 = e+ cocorb = c + F = tocd S6
  61. 1 2 coco bB c + f +C - 1. seu si f. stC
  62. unde s
  63. S
  64. p
  65. ut fili
  66. ft 2c0cd Sb AC
  67. emonstratur pay. Seq

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 3, fol. 25v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068000:0050?run=73