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Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 55v

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: 0.80.

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. 56r); this page is its left half.

The machine reads it as

  1. ique iso pli. L. residuus dsit x duviso per b, residnuasit F, et r- EF set divistulis per B
  2. + c267
  3. Quaeritur in integiis solutio hujus problematio or . bC
  4. 1e
  5. Oportet vV-cIp dividi posse per l:
  6. Ergo residuns sit vo b4) +(x
  7. Et g 64 + x. Ergo Datur alius numeus minor quam b, qui sit f,
  8. et alius namerus minor quam b, qui sit g, ita ut f divisus per B; relinquat Y
  9. et g divisus per b, riliaquat B +. eritque +n CF = b5. Et
  10. et 1= Kb + F, E Et fo- b
  11. et = hb + Y
  12. a = hb + Y =CKb - et seu eut
  13. ff - cg = hb = CKb - ) b. Ergo f Ergo dantur numen quidam
  14. 1NC
  15. et 4, mirores quam b, ita ut f -cg sit divisibilis per b.
  16. 4
  17. quid cum sit vv- bg.
  18. dabuntur duo numeri m et R, minores quam C, ita ut sit
  19. nm- Dn divisibilis per C. Quod si alterutiam
  20. nor quod si tales numeri F, g. M, n, minoresuvam
  21. laveniri non possunt problema in integras solvi non pote
  22. 4
  23. 4.
  24. 6
  25. 7 8 9 10
  26. 9 16 25 36 49 64 81
  27. e
  28. 26.
  29. 16 81 25b 625 16
  30. 4006 656 10000
  31. 85 208 432 80 1365 2187 3333
  32. 36 65 191. 11 197 257 37
  33. 19 29 34
  34. 43 53
  35. 4 _ 10
  36. 13 0
  37. - 3
  38. 60 67
  39. 10 11 12 13 14 15 16 17 18 19
  40. 20 21 22 23 24 25 26 27
  41. 28 21)
  42. 30 31 32 33 34 35 36 37 38 39
  43. H1 = 10+20
  44. 12= 11421
  45. 40 a1 42 43 44 43 4b 47 48 4
  46. 50 a S152 a 53. 34 55. - a
  47. 2= 20130 31 = 30+40 41 = 40 +50
  48. 1. b1220. 430
  49. 100
  50. 22 58 123 24309(565 8221146
  51. 27
  52. t + 2. HH3I
  53. 13 = 1. H+ 2. 2+ 1.31
  54. 1. 20+2. 30+ 1.
  55. . 20+1.40
  56. C (. 10r 1.20
  57. I. 1d13. 1. 3.30F 1.40
  58. 59
  59. = 1. 10+3. 2013.30+1.40
  60. 14 - 1. 10+ 42076. 3044. 5
  61. 15 = 1. 11+4. 21 +6. 31 +4. 91 + 1. 51
  62. = 1. 1045, 20+ 10.30+ 10.40+5.50.
  63. seu 1. 11 + 4. 21 +6. 31 + 4. 41 + 1. 5)
  64. = 1. 10 + 1.20
  65. 4. 20Y4. 30
  66. 5. 30+ 6. 40
  67. 440+450
  68. 16= 1. 11. + 9. 2 + 10. 31 + n 45. 1+1. B 1. 3
  69. 16 = 1. 10+. 1. 20
  70. 5. 1045.30
  71. 10.30+1040
  72. 1920 + 1060
  73. 11
  74. 16
  75. 0+1.
  76. e
  77. 1296 800
  78. c
  79. 10B 625. 654
  80. 422
  81. F
  82. 11= 110+101110
  83. pf 1.40
  84. 12 = 1. 10 + 2. 20+ 1. 30
  85. (3 = 1. 1043, 20 +3.
  86. 14 = 1. 10+9. 20+ 6. 30 +4+0 + 1. 50
  87. 1G = p. 10 +5. 20 + 10. 30 + 10, 70 +550Fat 1a
  88. 18 = 1. 10 46. 20+ 15. 30+20.40 11550+6a + 1b
  89. 10+ 7. 20 +71. 30+3540 475. 50 +210+ 76+dC
  90. B= 1. 1e+ B 20 +28. 30+56. 4047050150 a + 20+81
  91. tia

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 5, fol. 55v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068207:0110?run=74