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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 169v

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: 0.72.

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The machine reads it as

  1. hAC _ ∞ + 11G =10 2a 217 =20 y+ Z= v. fietque +10: 1 +20: 21 = v
  2. seu - 0t 4 H 20 c 10. 21 + H. 20, : N. 21 = V
  3. 10_t 2b: 21 C+ 30,31 =c. 11: 10 + 21: 29 = 10, 2.1 + 20111s, 10. 20
  4. 1I: 10 + 21: 20+ 31:30 = 10. 20. 31 + 10. 30. 21 +20. 30. 11, :, 10, 20. 30.
  5. 10+y C93 = gy 200 4d -y
  6. +10 + HY -21Z c (79- qZ∞) vy vZ
  7. 20
  8. e
  9. py +y+12 =0 _ fit y = 14 11. 11 -12 - 2 11
  10. y+Z= V
  11. V = 14 H. 11 - 12 = =11 + V1 21. 21 - 22 - L21
  12. = V421. 21 - 22 -121 ytz = v
  13. _ coc = 4 11 - 12 + L 21 - 22 + 2 V... . . .
  14. Sit V + 11 + = 21 = C0. fit
  15. Ergo C0 + 11 - 2 1. 12 + 12 _ + = 21 - V = 21. 22 + 22 =11 + 2. 12 - 121 + 22
  16. 1a
  17. 4
  18. = 4
  19. 9+ Z=B tollende sunt y et Z
  20. vZ = vv- vy
  21. gy - Zu ( = (. 1 y - 12 + 21Z+22 = ( per 3) vy - ∞Z. Ergo per 4ec 3 fit - 11y - 12 +2. v - 219 + 22 - vy- vH
  22. (0
  23. gy + 1y +12=0 ZZ+217+22 20
  24. 4y +2Z - y = 12 - 21Z 22 = v0 - 29Z 4 per rec3 sit - ny n 21V + 219 2E - v. 2yv- ryy
  25. rC (periet 27)
  26. Ex 5 fit 1∞ BV B, et V du 20 y = vV + 21V - 123: L 2V. + 11 + 21
  27. +22
  28. Eogo Z= WV +11V - 223: 2v + 11 +21 Et ex C 3 per b et 7. fit 2W0 + 11B = 2VV+ 1B
  29. pam jurs similitudinis
  30. 22
  31. .
  32. +21
  33. sed iilem
  34. ator E Nempe valores ex duo, ex duabus aeq. 3 et 4 educti, non possunt
  35. +
  36. 12
  37. quae est identica nec servit nisi ad
  38. 6
  39. tolcere citeras duas per has solas. iteque enouum quod assumeme itaque
  40. tertia aequatio adjungenda est. Quam si placet fubricabimus. No
  41. ut y et Z non assurgant ad quadrelum. yy+ Z3 (~ -11 y - 12 - 2FZ - 22 = vv - 2y2
  42. 22
  43. sa
  44. +12
  45. 2. 2. 22V
  46. (21V (2. 11. 214 2. 1102V =NAE (82. 2IV c2. 1121VY
  47. IC. = ZD + i1 1 BV+ 2IV- 12 42V+11 21 vDF 1IV - 22 = vv = 12(2) 2v + 11 - 29 vvid v- 12
  48. itque valores B et 7 substituantur in aeq. g. et fiet
  49. 2
  50. 2. 1122.
  51. IH
  52. FII. I1. VV 4 H. 11. 2IV (+ 11. 11. CL)
  53. __. LI. 2. -411. I1.22
  54. 1.12. 21)
  55. (= A I1. 21.22
  56. in 122
  57. fovinot2
  58. 42. R 2V (F ,1.2122)
  59. 4 (11., 2 DV 4 112. 21D(1112. 2P
  60. 12. 21. 2
  61. q
  62. B rB t2A V
  63. d.1
  64. D + I1
  65. 21
  66. 3 (E. 11.21
  67. 16113. + 4. II. I2. 1X. 1 14. I2V
  68. 44.M.
  69. a.
  70. 2. 22. 11. 12.2) 22
  71. 1222.
  72. 1221.
  73. 2.2= 0
  74. 12
  75. IP. 22
  76. ec.1t.
  77. . n2.
  78. 4. 12.2
  79. 4. 21. 22
  80. t
  81. e
  82. 4
  83. 21
  84. 421. 21 II. (F21, 21. 22
  85. us
  86. 2.21 17
  87. 2. 12 VV,
  88. IV. LIC.L
  89. 122
  90. Q. HI V7 C2. II.d
  91. 2. 12 DV) - 2. IL=D +12
  92. 2. 22
  93. +2. H1. _). 22. 12. 2E
  94. tri
  95. IB + AOt
  96. 12: = 1510E. 12 92+
  97. DE1. 02. 92 +
  98. Be
  99. DE. 12:5
  100. 150. R. 02:V+ 8E.12, 02, 9. 2+
  101. IE. R. G + 1E. DEdr: J. 2 + ob. 12: 14
  102. ed
  103. EPF. 1E. ch. . t + 1E. E. _9+ 1E DE B. b + BE
  104. t
  105. D
  106. AE
  107. 1Fn1E+hVACV. 9+ AICar. V b+ h o2V
  108. ye. bo
  109. veahineritioe. ta deoiar. sise 1 i

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 169v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0338?run=74