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Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 12r

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: 0.88.

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. 11v); this page is its right half.

The machine reads it as

  1. (17) Nemel a est a, seu ta = a vel unitas
  2. nex multiplicat
  3. (18) abc = a c b Nam abc = abc (per 3)
  4. Ergo jan be = cb (per 15) Ergo Cer C Ergo in poste-
  5. riore abc pro bc substituendo aequalem cb (per 15)
  6. substituendo (per 2) fit abc = acb. _ Z. E. d.
  7. idemque est in caeteris transpositionibus, pluribus que
  8. etiam invicem ductis
  9. (19) abe = ab, c. significat enim abc
  10. primum a maltiplicari per b et productum per c
  11. (20) ab, c = a, bc. seu idem fit multi-
  12. plisando a per fuctum ex b in C, quod sit multiplicando
  13. ultiplie pen
  14. ab, C = abc (per 19) = (per 18) bca
  15. = (per 19) bc, a = (per 15) a, bc g.E. d.
  16. idem est decaeteris combinationibus quae fiers
  17. possibilibus pssunt quibus cunque in productis ex quodcunque
  18. (21) etals
  19. Unitas non multiplicat 1a = a, id est semel
  20. (22) a a multipl. per m + n
  21. a est a
  22. a epli designatur a mtn vel a, mtn
  23. vel a (m + n) idem est in pluribus
  24. (23) a (m + 2) am + an, idem est in pluribus
  25. seu si quantitas alicatur in totum ducenda est in
  26. la
  27. (24) Si quantitas plurimembris ducatur in
  28. quamvis partem.
  29. aliam plurimembrem factum erit summa binionum
  30. omnium possibilium, quae fiunt nembrum quantitatis
  31. unius ducendo in membrum alterius
  32. a+b+C, + m+n
  33. aequ.
  34. ab nam an
  35. bl + bm + bn rn
  36. (251. s tres quantitates plurimembres invicem
  37. cl + em F Cn.
  38. ducantur factum erit summa omnium ternionum
  39. possibiliueto, quarum quaevis erit factum ex tribus
  40. plurimenbres invicem dicuntur sactumerit summa
  41. trium quantitatum, membri
  42. quaternionum.
  43. dig
  44. a
  45. sumer
  46. Et ita ponre ex nummis dembrorum
  47. FM
  48. a+b+C _l+mtn,
  49. 23 aequ.
  50. +l
  51. tans pant.
  52. bl5 +blF +bns +b mt Ans
  53. C15 +clE tens remt
  54. ont
  55. ns +ent.
  56. x (26) Isd. positis numerus combinationum factum
  57. in 3 in 2 dat 18.
  58. constituentium semper aequater u ex factis
  59. dem est qui resset si membraeia essent
  60. ue
  61. ett a
  62. 2 sed
  63. In eadem conbinatio rediret tantum repeteretur in producto
  64. i
  65. . Hame
  66. aequalia inter se, tun
  67. toties qu quot in facto, ex tribus Membrorum numeris
  68. sunt unitates. Sic si pro arb poneretur ata+ a
  69. et pro lmta
  70. E+C+ l. et pro s+ t poneretur 5+5,
  71. 2
  72. fieret a+ata, (tUtL, 5+5 = 32, 3l, 25 =
  73. poneretur
  74. 3,3, 8, a (per 18718) 3. 3.2, als = 18als
  75. in quatuor quamitates
  76. mbina
  77. producto ex num ss membiorum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 13, fol. 12r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068010:0023?run=73