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Leibniz-Handschriften zur Mathematik LH 35, 3 B 15, fol. 5r

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: 0.75.

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

The machine reads it as

  1. inveni olim
  2. 2
  3. major quama
  4. rem, et proinde si y sit primitivus (esse 2- 1 exacte divisibilem per y
  5. Ponamus yZ esse numerum proxime minorem ipso 2, ita A 27. ita ut posito
  6. unitate majore futurus sit major. necesse est ut 97 vel aequetur ipsi 27 - 1
  7. vel sit itidem proxime minor. itaque si yz detrahatur a 27 - residuus
  8. vel nihil restabit, si aequales sint, vel erit residuus minor quam y. eantur
  9. dyadics
  10. foret saltem tot habere possienias notas ipsius 7Z, quot sunt notae in ipsoy
  11. Has enim detrahendo ab ultimis notis qua iphus 27 - 1, quae sunt
  12. etc. 11 111. fiet numerus minor quam y. Tan videndum ergo an
  13. arte aliqua saltem ultima notae ipsius yz vel ipsius _Z quantum
  14. 1∞∞NVI
  15. eu
  16. s
  17. autem ultimae notae ipsius 23-, saltemt.
  18. satis, indagari possiat
  19. 2V
  20. 2 - 1 = C0 = yZ et c est minor quam y. Ergo fit
  21. 11
  22. 2- = 4 + co
  23. si posset inveniri co, sufficeret, nam erit co =0, si y e
  24. primitivus; sin minus y et cohabebunt divisorem communer
  25. e=1= D
  26. 2+ 1= 3
  27. L
  28. 21 = 3
  29. 2+1 =5
  30. 3+ M+
  31. divisorem
  32. e
  33. 2+1 = 9
  34. 241 = 9, 2+1 =.
  35. y-
  36. 27=2= 2. = 1 et y habent commune
  37. 2 = 1 = 0 et 1 habent communem diusorem
  38. 1 et 2
  39. habent communem divisorem, ergo si y sit impar
  40. et iam
  41. rPVKLIFIIOO
  42. e-1
  43. =1 et y habent communem divisorem
  44. 2
  45. = 1 = 2 - l = 3 et 3
  46. n1
  47. e-12
  48. dut
  49. 2 i
  50. eut -2
  51. 3+1= 13 et 43
  52. 2
  53. =1 = 63 et 7
  54. 64
  55. 2d -1 =, 255 et 9 habent coen divisore 2e +2 es
  56. se Ib4 1) = 1+ C + e. _tr. + P. CHL et2 = P. P - 1. 8- 1. C-3
  57. 1.209
  58. 3.13 = 2 + 2.3. 4 2.).4 qeu
  59. et
  60. I2 3. 5
  61. 2=1, ie = l + R1+ C- 1. P. 2 +..
  62. 1.2
  63. 1. 23
  64. 28: e = integ. et si e impar fit 2 = 1,: C inteus 2 -1 : 3. 42 =l)
  65. 2
  66. 2.9.4
  67. 1001
  68. 11XI AY

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 15, fol. 5r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068264:0009?run=74