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Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 8v

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 11r); this page is its left half.

The machine reads it as

  1. A ob a ut b aequalas q sit 1 et ob inaequales sit
  2. sit Ergo si a et b sit 15qst c erit q01 si a et b sit 0
  3. a
  4. erit q,I; si a, c et b, o; erit qul. si a, 0 et b, 1 erit qu
  5. qu erit 410. orqu 4 est 1, nisi a sit 0 et b sit 1
  6. 9- 1+ ab a et b existentibus 0, 9 sit 1. fier
  7. d - ab 1 ab4 1 - 4 a+b + 1 = 9
  8. 94- 4q tab fit 2 existente 0, bt b, 1, ft 4 sit 0
  9. -ab.ab
  10. tab
  11. sit a + b - 1 = q
  12. q t ergo utroque conjuncto fit
  13. q- a - b1, 9- a - b + 1. 20
  14. 99 - a - b- 129, + a+b +2a -1 = 0 fil
  15. ∞a-bH
  16. q.aa 9=3a +b = 1,:, 2a +2b-
  17. quod succedit
  18. si a ut b existentibus 1 9nsit 0 sob a, 1 et b, 0 c9n sit q eut
  19. a= 2-a - b vera est sed non recipioa, nam nn ideo
  20. ocostente 2- a - b = 1, erit vel aeb, 10 la 1 et b0
  21. nam etiam potest esse b1 et a, 0, si a, 1 et b,0
  22. id eoque 4,1 erit q= a -b quae est salis facil utrique
  23. itaque si a et b existantibus L, q sit 0, et a
  24. et existentibus a, 1 et b, 0 sit q1 fiat q a - b
  25. se proterea si obra et b existentibus 0, 4 sit 1, et
  26. exgslente a d et b, 1 sit 4,0fiet g= 1- b + a
  27. li
  28. ergo in casuhoc completo an erit 1 4++b-1
  29. 9- a +b, q 11 9- a + b - 1. =0
  30. tar ba
  31. fil 99 = aq +2a =0 seu 9=2a -2ab , b- a
  32. +b. +2ab1
  33. Ob a et b, 1 erit a - b=
  34. 4.acb
  35. ea
  36. ob a, et b,0 2ab
  37. erit a +b = 1 ~0. ueent b20
  38. porro, si aet ob a,et b 1 sit q=0 eripotes erit q2 a- b
  39. et si ob a 11 et b,0 sit 9= 1 perit 9 = a vel q- a ba
  40. ergo, erit jungendo ambos easus valor q in casu uno, multipl–
  41. cetur per valgr o in casu altem et habebitur valarq
  42. summaent valorq in casu alioque seu unde hic
  43. fiel q= ab - b + a - ab = a - b, quod succedit
  44. 14.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068253:0016?run=74