Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 8v

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: 0.79.

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. 9r); this page is its left half.

The machine reads it as

  1. XtuxI) +X + IX + 12X + 13X +14X +15 = 0
  2. +x3
  3. 145
  4. =X = 21a
  5. - 2∞
  6. = 11. 21 = 11. 2D
  7. +21 +21. 2 F21. 2
  8. + 11. 21
  9. 2. 2
  10. 412
  11. X + 21X + 22 =.
  12. X +
  13. Ergo X=
  14. +ecy +5i
  15. E_
  16. ay- d
  17. at 0b4 ex + dX
  18. s-
  19. seu compendio
  20. 2
  21. e + fx + EX
  22. y
  23. X Mlq X + AX + 1X + 14 X + 13 =0 X + 2IX + 22 = quadrando fit
  24. N + 1 X + 12X + 13X, +14X + 1520
  25. Et ex 3a per 2 fit. +
  26. (seu XX = -21X - 22
  27. X +21X + 22 = 0 fX = 213 2F = 2. 21. 22 + 22. 22
  28. - 213XX = 21. 21 22X) +2.21.2 + 22822 fit X3= - 2IXX = E2X
  29. Ex4 sit X = +2. 4. 2XX + 2222.
  30. 42. 2. 2
  31. f 22.22.
  32. e frI. ux + Y. 2V
  33. guu fel. 2. 22 (42. 1. E. 22.
  34. -re
  35. f22. 22
  36. + II. C + 11. 22CE
  37. 1, 146+ 4 - 2 -8
  38. 2l - 1 - 4 +2 +4
  39. + 2
  40. X 6 XX
  41. +21 X + 2P. 22
  42. Aursus ex 5 per 2 fit - 21. 41 2: - 721. 2222
  43. 422. 22.
  44. Et ex 6per 2 sib X = , 21. 21 X + 21. 22
  45. Ergo ex aeq, 1. per 7, 4, 82. fiet
  46. E 21.21
  47. 12, 1+4 =2
  48. 13, - 1
  49. 614
  50. 5
  51. - 22
  52. 21 X + 21. 22
  53. -321.2 . = 2.71. 22
  54. + 28
  55. - 11. 23.
  56. +, 1I. 21. 22.
  57. +12. 21.
  58. - 12. 22.
  59. - 13. 21.
  60. + 14.
  61. - 11. 21:22
  62. +11. 22
  63. + 12. 21.22
  64. = 13. 22
  65. +15
  66. (10)
  67. 142
  68. (20 = 30X + 31 ypendio
  69. 34X + 35 =0
  70. X+21X + 22 =0
  71. tit _ 14- 21. 4 + 22
  72. e
  73. (1
  74. seu 25.0- 21. 24. 35 + 342920
  75. sit 20ux + ux=
  76. dividatur 1 per 2fit residuus 36 + 21X = 0 et sit 1127 = st. Ed 14 22 operatio 30 + 3IX L LX a33X , qX ss
  77. Dimilendus 10 + uX+ X +13X +1 4X + 15K,
  78. 0
  79. et fit 15.22 =35. 22 1 34. 2 Hinc 31= 11 Ex alibi a me calculatis
  80. VXX+LXN =0 IXLuXtM=0
  81. 14. 22 = 32. 2 +33. 4 + 34. 20 dividatur 1 per 2. erit operatio 30X + 3IX + 32X3+ 33X + 34X+ 35
  82. 14. 27 = 34. 22 +35 435. 20
  83. 13. 22 = 3322434. 21+35. 20
  84. (1. 22 Dl.2C+32. 21 +33 20
  85. et siei residuns 34∞ + 35X 34X + 35 =0 lex,
  86. 32 = 10. 10. 2 - 10.19. 21 + 1.11. 20 - 10. 12. 20, : 102 103. 22 - 10. 1. 2s + 11. 11. 207: 10
  87. 10. 2 30. 22+31. 21 +32. 20
  88. it lex operationis erit:
  89. erit
  90. 10, 20 = 10. 3
  91. 10. 21 = 10. 31 + 11. 3 1, 29
  92. 22 = 10. 32
  93. +I1. 32 +12. 31+
  94. 10, 24 = 10. 39 + 11. 39+ 12. 326
  95. 10. 23 = 10.
  96. 10. 25 = 10. 35 + 11. 34 +12. 33
  97. +0 26 10 361 H 35+ n 4
  98. 30 = 20
  99. 31 = 10. 21 = 11. 20, : 10
  100. 33 = 102.23 - 10. 11. 22 + 10. 152 21 - 113. 20 + 18. 1112. 20 - 10.12. 21 + 10. 11. 12. 20,: 18
  101. seu 5 = 10. 23 = 18. nar +. 10. 1218. 30 = 11. 20, : 103
  102. 34 = 19. 24 - 10.1. 23 + 10. unr2, = 10 lin 12 20 + 1 20 seu 34. 1. 1. 1B 12p 1 . 1,. po - 1 0. 1. t 1. 21 4 11. 20, . 10
  103. 2
  104. = 103. 12. 22 4 16. n. M. 21 = 10, 12. 11. 11. 20
  105. u
  106. (L1. 12.11. 20
  107. 1212 20 r 1. 11. 20
  108. et 35 = 10.25 = 10. 11. 24 +1031. 21. 23 = 18. 11. 1. 1. 22 4 10, 11. 11. 1. 11. 21 = 15. 20.
  109. 1. 12.
  110. 1. 1. 12, 21
  111. 12. 23
  112. 1215. 22
  113. p. 12. 11. 21
  114. 12. 12. 21 12. H1. 11. 21
  115. itaque 2 = 20. 1031 = 10. 21 - 11.20 1832 = 15. 22 - (17. 10n. 21 + 15. 20
  116. 12. 2 210. 1. 12. 2) . 11320 10. 34 = 152. 24 - 1. 172 o. A. 12. 4
  117. 14. + 10. 111. 23 - 10. 18 1. 22 4 10, 11. 11. 11.11. 21 = 1P3. 20 1 1212. 20
  118. (0 12. 21 210. 11. 12. 20
  119. 11. 12. 11. 1.
  120. 12. 11. 11. 11.2
  121. 3.10. 11220
  122. rouni Iimmaus bly 2 dogato pe ast trot e non anierur a cor au ta erero avu e n rmet.
  123. II. 2
  124. 21.21
  125. = - 4+4
  126. 1F +t 2
  127. 11. H1. 11. 12. 20 N apparet. quod prodiant omne

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 10, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068007:0016?run=73