Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 149r

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. 150v); this page is its right half.

The machine reads it as

  1. 1e
  2. 10X + uX + 1 X + B X + 14X + 15
  3. 20 X + 2X + 22X + 23X + 24X +25X Haec dispositio, ut scilicet prioris formulae
  4. 10NX HIBNX + 10BXLIOBKL=VEX quivis terminus d, ut 10, ducatur
  5. +11.20~ + 11.2] u + 11. 23. +1123 +11.1.
  6. +12.20. + 12. 2. +1. 22. M2Y.
  7. per tarminos singulos formulae
  8. +13. 2 2131 132. Sequentis 20 x, ete. Ideo non
  9. 1142. 14u. placet, quia sic non potest
  10. +20 continuari commode, cum
  11. pergendum est aduu multiplicationem producti per
  12. formulam novam, sic ergo potius:
  13. 10X + 1 X + 12 X + 13 X + 14X + 15 X
  14. 20X +21 X + 22 X + 23 X + 24X + 25X
  15. 10. 20X + 11. 20X. + 12. 20X + 1320X3 + 14. 20 X + 15. 20 X
  16. + 10. 21. + 11. 21 +12. 4. + 13. 21.. + 14. 21.
  17. + 10.22. + 11. 22. +12. 22. + 13. 22.
  18. +10. 28. + 1. 2. +12. 23..
  19. mult iplicetur
  20. rursus per
  21. +10. 24. +11. 24.
  22. +10. 25.
  23. 30 X +31 X. + 32 X + 33X + 34X +35X
  24. fiet
  25. 10. 2030 X + 11. 20. 50X + 15. 20.30X + 13. 20.30X + 19. 20.30X + 15 20.30X
  26. 10. 21. 30.. 11. 21. 30.
  27. 12. 21.30..
  28. 110. 22. 30 1P. 22. 20.
  29. 10. 23. 30.
  30. 13. 21. 30
  31. 12, 2230.
  32. I. 13301
  33. 14230
  34. 1. 2230.
  35. 12. 23.30.
  36. 11. 29.30.
  37. +13. 20.5. + 11. 20.31.
  38. 10. 21. 3]
  39. +l2.20. I
  40. 11. 21.
  41. 10. 22. 31.
  42. 10. 2430.
  43. 10. 20. 3 2. + 1. 20 52.
  44. 10. 21. 32
  45. +)020.33.
  46. duabus vel tribus
  47. Productum ex tribus for-
  48. 12. 21. 31.
  49. 11. 22. 31.
  50. 1. 20.32
  51. H. 21. 3
  52. 10. El. 32.
  53. 10.25.30.
  54. (. 20.31..
  55. 13, 21.31..
  56. 12. 22.31.
  57. 11. 23.35.
  58. 10. 24. 31.
  59. 13.20.32
  60. 12.21. 32.
  61. 11. 22. 32
  62. 1023.32
  63. M22a33.
  64. 11. 21. 33.
  65. 113. 20. 31
  66. 18.23,31..
  67. F19. 20.33
  68. 10.21. 33.
  69. mulis ad eandem capi-
  70. talem est habet terminos
  71. quorum uniuscujusgri
  72. membra sunt comb tern
  73. 10. 12. 33.
  74. = 1D. 20.34, 411. 20.34.
  75. 10, 21. 34-
  76. 410. 20. 35.
  77. omnesbiniones vel terniones, ete
  78. doefficientium cujus ex
  79. formulis productricibus
  80. sre ita ut quaetibet res
  81. combinanda sit ex formula
  82. quavis productrice, et
  83. combinem in unum mem
  84. brum combinentur coeffi
  85. cientes terminorum
  86. quorum efficientes si
  87. exponentes simul sumti
  88. aquentum exponenti
  89. potetatis Ter potestato
  90. potestatis termini
  91. ad quam habet
  92. terminus formulae
  93. productae
  94. pergatur jam ad formulas binarum literarum
  95. quae per alias formulas binarum literarum
  96. quaerendum et quae aequationes prodeant, si formulas datas
  97. velimus compatare cum productis, iquod nihi aliud est, quam dividere
  98. Ab solutis divisionibus, veniendum ad replicatas divisiones, seu
  99. ad inventionem communis divisoris

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 149r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0297?run=74