Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 3 A 24, fol. 2v

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. 1r); this page is its left half.

The machine reads it as

  1. distructius
  2. 1000
  3. 211
  4. 1000
  5. aqu.
  6. aequ. 1
  7. aequ.
  8. aequ 4 + (
  9. +
  10. + +
  11. 4 +
  12. 156
  13. 211
  14. 1000
  15. aequ.
  16. 4 +
  17. ec
  18. 56
  19. aequ.
  20. o
  21. 6156 eu
  22. vel clarius.
  23. aequ.
  24. 1
  25. 1000
  26. ol aeju.
  27. 1000
  28. 1000
  29. Et ita continuari potest in infinitum, semper in ipsius
  30. valore relictae substituendo primum ejus valorem nem
  31. sed ut valores aa comprehensionibus purgemus, filt:
  32. 156
  33. 4
  34. 156
  35. 1 1562
  36. aequ. 4 + 2, 56 4 4 15t2
  37. 1000 1000 1000 211 10062 1000 1000 1000 1000 10
  38. aequ. 4 + in 1000 aequ. + +2
  39. 1000
  40. et ila continuando in infinitum erit tandem
  41. L aequ.
  42. C
  43. 1
  44. 15b 12
  45. l +
  46. 156
  47. .4
  48. 1000
  49. 13562
  50. 211 1000
  51. 131 + 14
  52. 2 g + 1 L 156
  53. 1000 posito Z esse infinitom
  54. quod inventum haud dubie inter maxima Arithinesicae arcana censeri
  55. 211
  56. 1000
  57. 1000
  58. 1000
  59. debet. Hinc enim credo via patebit investigandi numerorum divisores
  60. Numeru autem 4 et 156, aliive in aliis numeris ita statim inveniuntur. Nume
  61. Denominator fractionis (mmneratorem habentis unitatem) dividat Denariiae potentiam
  62. f.10. 100. 1000. 1000 ) proxime se majorem, quotiens dat a numerum qualis 4.
  63. cb comerum A q esiduque numerum qualis 156. Nempe sit fractio
  64. 2
  65. Tolentia denarii dproxime major, ipso _ dividatur per n,
  66. cuja nominatur n en
  67. sit g. residuum sit V. Caio fore
  68. aq
  69. n
  70. 1 + Y + Y +
  71. HHinc jam et summae fractionum facilii invenientur ut s sit tractio
  72. quotiens
  73. r aqu. 150
  74. L aequ erit n aequ 2. daequ. 10. 9 aequ 5. raequ. O vel n aequ. 2. daequ. 10. 9aequ. 1. r aequ8
  75. a
  76. 10
  77. 10
  78. d
  79. 2
  80. A
  81. 10
  82. 21 100s
  83. 1a1562
  84. ut ea lon
  85. squ
  86. 211
  87. iaqu 2.11
  88. d aegu. 1000
  89. qaequi a
  90. Nimirum faciendo 4 Temper 1. seu sumendo residuum licapi differentiam nominatoris a poten
  91. in denalii, tunc positis
  92. pogresponis drithmencae, seu fractionibus progressio
  93. nonicaeormur argressionis arithmitilae
  94. pro

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 24, fol. 2v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068237:0004?run=74