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Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 36r

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: 0.73.

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. 35v); this page is its right half.

The machine reads it as

  1. Rem ergo ab initio ex hibebimus sed implicite
  2. siG rabt ta
  3. Lrabch a
  4. exabtrocant
  5. p (btab 20d.)
  6. (-25.14 1
  7. chabe lecbe
  8. eat
  9. =Eabet
  10. +hC;
  11. eht
  12. (2
  13. ral
  14. -2abl
  15. challu
  16. loralat u raon
  17. tabh- 2abch
  18. M t Gb+ an - rabh.
  19. 592
  20. e obla
  21. 13
  22. 87
  23. Ah e
  24. 86
  25. 18
  26. (et hithatt lo rabt
  27. Sed haec meditanti compendium incidit insigne, ut nulla sit
  28. nova opus regula pro subtractionibus. Nam et in decimalibus est observa
  29. tum pro subtractione ad numeroe dat, adhiberi posse supplementum
  30. oc Numeri Numer dati
  31. priontnumerum supplementatem complemantatem, otfet
  32. id est qui superest si datus subtrahatur a 99499 erc. totidem notarum. Ita
  33. dat
  34. 87 = 135 - 48 = 6. 999 - (199- 135) + 48)
  35. 18 = 135 -7117, 864 + 117 = 981 999 - 981 = 18. idem locum habet in
  36. la lefial
  37. idem locum habet in diadicis. Itaque
  38. sit ipsius a complementilis a, ipsius b complementalis B, et ipsius
  39. c complementalis); et ipsius i conslementalis est 0. ubi
  40. et Bl= 1 - b et V = 1 - c,
  41. cemple compendii causa exprimi unaiera, itaque perinde
  42. V B sta
  43. notandum se X = 1- a
  44. esse ac si frat oportent facere.
  45. +ha β
  46. ap
  47. hae
  48. =it est
  49. Ergo fiet
  50. nem sbi ee
  51. 999 - 135 = 864 364 +48 = 912. 997 92
  52. + 1 +C
  53. ha
  54. +hia
  55. 1a
  56. trtu
  57. ihal
  58. (X7 2(+C
  59. hi
  60. id
  61. a β-
  62. 12 et
  63. etia
  64. tta
  65. +h
  66. 1n
  67. L I
  68. + 1
  69. si fui
  70. sset,
  71. set
  72. figura
  73. adjecta
  74. patet
  75. ce
  76. -b prodiisset ha
  77. estndo complem entorum idem
  78. intum
  79. proderet hac
  80. quod an
  81. ut in
  82. ia
  83. Aa
  84. aeita
  85. +ho
  86. +ha
  87. 2h
  88. habe
  89. jesth a
  90. +hrha
  91. har
  92. trhab
  93. Hac ergo methodus datur regula subtractionis in infinitus
  94. ex sola regula additionis.
  95. hab Fssa
  96. it

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 B 5, fol. 36r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068255:0071?run=74