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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 160r

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: 0.77.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. .
  2. x+I = A+ ID Xt m - fD+ nD Xt n ∞ n
  3. C11)+ l ln C Cmp
  4. 107 + na, 20Z+2a 10Z+1a, 30Z+ 3la
  5. 50F1)
  6. lfS+ mD
  7. b = 4027+ 4142+ 42aa. D = h02Z + siaZ + 52aa
  8. 2ozt2a, 30z+3 a
  9. 2 10. 30a
  10. -00. 50m
  11. F, 20.30a
  12. -00. 50n
  13. - 10.30 a
  14. 11. 20
  15. IL 1. 20
  16. = 10. 31 a = 00. 51m
  17. H1. 30
  18. = 20.31a = 005In
  19. 21. 30
  20. (F102n
  21. 170.304 11. 20 a
  22. 20.30a dtp
  23. 1.300
  24. H. 3 S
  25. 18ga
  26. pro3la
  27. l2. 30
  28. M - 00. St. 1 m) m-n
  29. em
  30. 410. 30 (l-m)
  31. 20 = 4.
  32. A. K
  33. 10_ (m -x)
  34. 2) CLm)
  35. (10. 11. 31 (L n) (10(m- 1) +30 (1- m)
  36. . nAI. 10.30 ((- 1) (1 (m nD 131 (1 1))
  37. in hac aequatione
  38. substitui deb et
  39. valor ipsorum
  40. 20 et 21 inventus
  41. Unde fiet
  42. f0+nD
  43. = 11. 31 a -00. 52m
  44. = 21. 31a - 00. 52N
  45. lam
  46. H1. da
  47. 2. 31a
  48. M - n
  49. 1 - m)
  50. 11. 31_ (m. n)
  51. +10 _ (m -n
  52. 1314Cl - m)
  53. (eo pi ltaz. tua x Bo nostua
  54. (31 10. 30 (l- n) (1(m - n) + 31 (L m))
  55. = M. l 30. 11. 31 (L- 1) (10 Cm. n) + 30 (l m)
  56. An), C (10. 2 +11.30) (10 m- 1) 130(L. n2) (1 (m - n) + s. (2 m. 3)
  57. ( 1) ( (10. 31 + 11.30) (10 (m n) 430 (1 - m) (a lm. u) 31
  58. fiet 10 (m -n) +30(l -m), 11. 31, 1om - 1on + 30 L - 3om = 10. 3l, 18(m- n) u(m - n)
  59. Totu aequatio dividi potest per 1- n
  60. II (m - n) + 31 (L- m), 10. 30, 1m = Un +31 L - 3m. 1130 30(l - m 31 (L- m
  61. Seu 10(m -n) = CL- m) , 1. 31=
  62. Cm- n) +31 (r m), 10. 30
  63. (5) (23a
  64. 4o taz. Mfan 1 sE corpuics u
  65. 40fZZ +41 faz + 42 faa 10. 7973 + 10. 21 aaZ + 11. 21 son Vt simjisi ma
  66. (1)
  67. 50lZ2 + 51laz. + 52 laa
  68. -00. 50l
  69. +10, 20a
  70. Bl - m
  71. c
  72. 1031, 10 (m - n) + 30 ((-m), 11 (m- n) + 31 ((- m)
  73. 11. 30
  74. Si fierit 11. 31 = 10. 30 et 10. 31 +11. 30 =
  75. 10.30 = 11. 31
  76. Nongs
  77. IIY + 131 a =
  78. (sed ita nimium supponitur
  79. feret 10 Cm - n) + 3ol lam m) = +, uCm - n) + 31 C l - m
  80. sifieret 10. 31 +21. 30 = 2 f1B. 11. 3031) 16.31 + 11. 30 (2.10. 31. 3031 = (4)0. 11. 30. 31)
  81. fiet 10. 31 = 11.30. quod non lic fiat 10. 31 = 11.30 quod non . est
  82. si sot 31 = 0 fiet 11 (m- n+ 10. 30 = 11. 30 (10 (m - 1) + 30(l - m) 11 (m - n) sd ha lice
  83. p- m
  84. . l- m = A
  85. compendii H(m - n) + 3C (L- m) vocetur 131 a, et 13a = 31X= ur
  86. fiet, r = 1oY + 30s, 11. 31 + 131 a 10. 30 = (10. 31 + 11. 30) (- 10Y + 30A) B1 a
  87. seu (. 10.10. 11. 31YY, -2. 1, 90. 11. 31 rA + ((0. 30. B31 a 10. 31. 131ar 10.30. 11. 13I ar
  88. 1050
  89. +38. 11. 131a) + 16, 30 31. 31 ad
  90. 10. 3H t 31 (ar +131a) = 2 10 34 11. 31 rR - 30HIAY. finz, 10 31 +u. 30 - x10 30. n7
  91. 30. 30. I1. 31 AA
  92. 31X
  93. se W. 31 = 11. 30
  94. baque non surcedit inquisitio
  95. Xap. S0+ p
  96. FH. 2a
  97. 11. 3 a
  98. 11. 31 -10.30
  99. 00. 30=

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 160r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0317?run=74