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Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 35v

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: 0.82.

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. 34r); this page is its left half.

The machine reads it as

  1. aso
  2. Quoniam in hac dividendi mithode residuus post quo-
  3. tiantem jum inventum separatim inveniendu est;
  4. cum tamen in vulgari quotiens et residuus simul
  5. inveniantur hinc praeclurque erit hujus regulae usus
  6. ubicunque negligitur residuus. quod fit injimis in
  7. 00bdF144 omnibus decimalibus, seu divisionibus post multarum
  8. (7
  9. 1000001
  10. 020000
  11. cephrarum adjectionum continuatis, v. g.
  12. t quaerdum in decimalibus, scribamus:
  13. 05000. quaerumus in decimalibus,
  14. fieri debet: 0206000, ut scilicet divisori
  15. 14) c. 47 424+ 41
  16. 1t 1,21,6.
  17. =aX = 4aX
  18. X +4
  19. =oX ∞04
  20. 2 a
  21. 0200yc a142
  22. +eA
  23. A
  24. 0 2000d
  25. e necurgcae
  26. 2 2 2
  27. Quod non succedit quaerenda
  28. tatio: Ratio autem est quia resodum
  29. neglegimus 4a4-04x (6) (ut patet
  30. in divisione literali adjuncti hanc reps
  31. sentante) id et 4a4 seu 32
  32. s
  33. pro termino secundo quotientis tantum
  34. X2. loco +0- 8, unde postea istud 2
  35. +0- +a x X + 11
  36. opu
  37. rursus subtracti 2X 0.
  38. divisiones in numeris necesarum
  39. e non ut subtrnctiones etiant de
  40. sibi assignatas quantilates
  41. ss
  42. nor
  43. quisque terminus
  44. vcineat
  45. 17Jo200100. eit sic procedemus
  46. quasi esset aX + bX + CX etc. per 1X+ p. fiet: a aequ. 2. relique
  47. aequ. 0. et p. aequ. 4 et X aequ. 1b. sciibemus.
  48. 3 +12 -8 Nondum patet exitus.
  49. sequitur scria 4
  50. dunt iterm 12) quaelonge patet subesse errorem Ratio erroris.
  51. semota a +a4. unde
  52. ulergo ad huigmodi
  53. termino in termirum, sed
  54. itaque pro divisione
  55. L
  56. Ratio sulido, quod 4+ seu Aa, seu B subtra
  57. ximus, ab aX seu 20 ita mapet
  58. multaplicanto per 4, fit 8. quaepla
  59. 5
  60. +0. 4 +44+
  61. raax 44a4
  62. 14) 0 ∞ 42 42 42 4 4
  63. 22 2 4A M
  64. aX + oX HoI + aX
  65. X +
  66. A
  67. primus tarminus sit E. jam divisio ita institue
  68. tur
  69. eroerOBC
  70. 60
  71. Qua
  72. a
  73. 14

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 28, fol. 35v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068241:0070?run=74