Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 2r

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. 1v); this page is its right half.

The machine reads it as

  1. (1)
  2. fit O=
  3. a el
  4. et fet 2 ((t 2. 30. 52
  5. =2. 30. 509)-
  6. 2.3250y3: (2)50yy+52
  7. ( 403o y +40 230. 329y + 40432. 32
  8. Jau
  9. 30yy +32
  10. 8y 1 509y+52
  11. 41430. 509 = 41a 30. 5299 + 41432. 51
  12. 2.50
  13. grat. 2oytq . 22021 9y + 42R. 21 21: 10 X etc. explicundo cex
  14. mod sec. aeq. 2
  15. +20309y +2032 in 5097+52
  16. +21 4509y +2157)
  17. Nondum possum solutionem obtindere pro eo casu, quo numentor et
  18. (e seu sartere csre
  19. 2aco+. at 0
  20. yu
  21. et dL dx sebs 2. 3050y 23052y
  22. (254
  23. 40X+ aXM LWXXL UX+ 12. sib x
  24. AF 20X + 2
  25. nominator sunt dimensionis aequalis. Nisi forte ascendendo ad 5.
  26. ut si sit (. = ax (40F + 41 su XX A uIX. sit Z = 30gy+ 31y+ 3
  27. et fit ax =
  28. 20X + 21
  29. 230y +31. 50y+51 +50. 30yg +317 +32
  30. e
  31. 50y+51
  32. A 30y+51. 5094et
  33. ......
  34. a. 30y+31. 509451 + 50. 30yy +31y131 44A1 ....
  35. (3750y +51
  36. 20x + 21
  37. Quia ex data coydus datur (yydio, ideo late quid
  38. tenlemus ad progrediendum: Ditur summa sit co- e.
  39. sit co- +Bg +14. datur utique 5 codu, quaeritur jam yy deo
  40. Wdd
  41. seu +209uycdco + 2. 20. 21y C010 = 21, 21C4 Noter
  42. 20y+ 21
  43. 1294+ 13y+14
  44. 202yy +, 20 21y+ 21. 21
  45. fit c yu=
  46. Ergo quaerenda restat
  47. jam yu +
  48. 2. 20. 21coco - 13
  49. - 12 yy - 13 y - 14.
  50. 2. 20. 21 4 coco - ] 13 y - 21. 21 c0c - 14
  51. E.33 - 12
  52. 2. 20. 210e0 -(3 y dy
  53. 2000 = 12
  54. + 4, 20. 21. c = 4. 20. 21. 1718+13. 8 1420. 210 - 4, 20. 21. 13c0 + 1
  55. I) 20=n
  56. 20c0- 12 3
  57. 4. 20c= 820. 12104+4 12
  58. =p28. 2. 2114. 2000
  59. + 13. 21. 21C0 - 12.14
  60. sed ita evanescit co+ nec proinde novi aliquid him discinus Et 20 co 4. 20 12+ 12
  61. potest etiam qu deo aliter quaeri nemper
  62. quia cd = B(2gy + 13y + 14=
  63. 20G +2)
  64. jam d sa = e da: sa et
  65. sed hinc unt luciamur
  66. co-
  67. 1agy + 159+16
  68. 209y +219 +22
  69. Ja fis deo - b dva - db sa
  70. da = 212y + 13 dy et ab = 20 dy
  71. est enim una tantum irationatis
  72. datur scdco du ergo dabitur et coydco
  73. y, 2Ococo yy + ycocdy = 22c0c0
  74. 1c1
  75. = 15.
  76. + 2126 - 21. 15. C L15
  77. seu yy + 21c0c0 - 15 y + (25. =, 20. 221 t 20. 1660
  78. et habetur
  79. 2000-19
  80. = 16
  81. 14. 22 c0∞ -14. 16
  82. (doco p= 920 32. 4 4. 14. 12. - 4. 14 b,
  83. 20 cor- 14
  84. d = saxsoX + 11. sit X - +1, fiot: O st Vydys Si y F 21. H summi datur
  85. O=X dx sit X = Svroyy +ngt fit dx = 2 g 2. 10y 411 eonnestet
  86. relatione
  87. O = (dx suxx + 12 O sit X = hogy + 21y+ 22 fit dx = 2. 20y +21, dy
  88. sec et fit
  89. (10XX + 12
  90. 20Xx + 22
  91. et (dx XX SIOXX+ B2
  92. 20XX + 22
  93. 4. 20. 31. 3+4. 10. 31. 22. 32 + 271
  94. (4. 20. 1. 31 + 4. 20. 22. 31. 31
  95. 10. 20yy +10219 +10.22 S20 Gy +219+22
  96. 20yy + 219 +22
  97. ( = (2. 20y + 21. dy
  98. sit Xx 31y+32 fiet Xdx = 31 dy et dx = L dy 131913
  99. Ergo C = 3( dy. Sio3i9 + 10.32
  100. = 3. Sdy (13194105
  101. YL
  102. 20.319 + 20. 32 in, 31y+32
  103. in31t3222
  104. V +12
  105. 20. 31 yf20. 32
  106. Aa XX + Zab X + bb
  107. et debel esse
  108. 16. L3F9+223
  109. 420. 31220.32 = (3) 2. 20. 31. 32.
  110. Aatv se (4. 20 31. Dt 4. 20 -1. 28. 357 4. 20. 1 Z ( + 21; 32
  111. 52=, Lu: 10
  112. -22.10
  113. 20. 3C9G +l26. 3l. 5CG+205C

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 4, fol. 2r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068049:0003?run=73