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

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. 11v); this page is its right half.

The machine reads it as

  1. qsi a et b aequalibus sit q21 erit q= 1 + a +b
  2. si a et b incequalibus set g = a, prit g= a(+ ab. Ergo erit
  3. q-1 a + b, 9- a() ab 299- 1+ a +b 19 + afa
  4. fiat + ∞ = et (+) ∞ + ∞-
  5. a
  6. fiat 9= 1 + b abimo 1- b tab
  7. ab
  8. abs
  9. si aa = a oportet esse quantitates afformativas
  10. ab
  11. si aet b aequalibus sit g= a fit g- d + a + b
  12. si a et b in aequalibus sit q= 1 fit 9 = 1 (+) ab.
  13. fit 99 - 1(1) ab 19 +a +a b
  14. s
  15. 42
  16. 9
  17. -a f a +b5C (+) ab (f (+) ab 4(
  18. Ig 9(4) abq
  19. a 4b (1) ab
  20. abta ta
  21. seu q-1a quoed demonstrat a semper esse 1. quod estgem
  22. si a b euntot abba
  23. si a nen cb, t ab =0
  24. nisi, si a et b sit 0, quo casu est d
  25. et a+ b-, seu a = 1-b
  26. si a = erit q b, a
  27. a i ab a 2+ ab, si a -b sit
  28. 1 ob a et b aequales sit qE,a; et d inaequabs sit 1
  29. Vam
  30. ab
  31. =a L a +b (+) ab. - a + a + b() ab
  32. a
  33. si a non - b eut 4
  34. ergo si a sit 1 et b sit 1 eut 4, 1; si a sit 0 et o nib
  35. d = 0 si 1a sit 1 et b sit a erit g = 1 si a sito et b sit
  36. 1. Ergo q est 1, nisi cum a et b esto
  37. seu ab a et b, 8 est 90 et ab a ul b)
  38. cubrq
  39. irgolhaequsu
  40. en aab
  41. si ob a et baequabs sit q = a et ob inaequales sit
  42. +
  43. C
  44. fit ta ergo si a sit 1 et b sit 1 erit 4. 1. si asit aet bsito
  45. ert qua si a sit 1 et b sit 0 erit 9,0 p. si asit 0 rtbsit 1
  46. erit q,0. ergo a erit 0 excepto casu quo b est a et
  47. est 1. ergo res huc gredit, ut ob et a et b p 4 sit 1,
  48. et ob a vel b, 04 9sit 0, seu q= ab
  49. si ob a et b aequalis sit 4,0 et ob in aequales sit qua. sit
  50. Ergo ob a et b, 1 fit q,e: et ob a et b, 0 fit 40. ut ob a B et b, C
  51. fit 4.0 eti ob a, 1+b et b, 0 fit 41 seu qsit 0, nisi a
  52. sit 1. eggu a ab a sib 1 et b sit 0, hinc g- a ab

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 3, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068253:0015?run=74