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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 30v

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.

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The machine reads it as

  1. aequanda oto
  2. X= atbc x- a+ 4ab +6ab n abe
  3. 1X +12 in 20X +2L, aequenda quadrato a Chogus L31913I + Seogy + 4ry + 42
  4. quadrato a Lao y + 41, 509+ 5i 1 Lbo3 +61, 509+51
  5. sit X = b Saoy+ 41, 5oy+ 5I + c f60y +61, 509+5Y
  6. 10X + 12 = 10 b. 40. G0. yy + 10. bb. 40. 5 y + 10. bb. 41. 51
  7. 10. bb. 50. 41
  8. 10 cc60.50 10EC. 60. 5,. + 10. Cc. 61.51
  9. 12, X=n, alm + rabunn
  10. emn 2bcnulm
  11. X aIm 1 eabemn t4 abl
  12. cemu 2betmn
  13. 10. CC. 50. 61
  14. mstu
  15. racmiln
  16. apu racima
  17. Z= d situt esin +f sun
  18. yy = dd lm + 2del smn
  19. Ee te in
  20. +abIm smn
  21. aab en
  22. X=Ba ln +6ab n + Aa mttun
  23. In
  24. ac lmn
  25. enin belmu
  26. e 12
  27. 4aebm snn +4aclnun +ab ClnHn
  28. be mn.
  29. c p aenn..
  30. aBe B
  31. 1abelmnsmn 12 abclun sn 12 a bchun m
  32. item d, ef
  33. ut ergo 10X + 12X + 1 F + 14 aequetur ipsi Z., ponendo l, m, n esse quantitates in quibus y
  34. est gradus simplicis, et a, b c sunt constantes arbitrariae, et d, c, f, sunt in quibus
  35. affurgitum ad yu, habebimus arbitrareas itidem ad y et a, b, c esse
  36. stantes
  37. habemus arbitrarias novem sed minime ad tollendum sufficientes, sin faliamus esse
  38. a = 0. et d =0
  39. debent V esse 2ef- B 4bC + abemn
  40. et 10b Pn +1OCn +6)10b Clum bl +nem + e, 4 ∞ el + fm
  41. et (4) 10. bc In + (4) 10. bemn +) 2bC ∞ rCf
  42. pro priore 3paratione requiruntur arbitrariae 4, pro 2da tres. nob summa soptem
  43. oi
  44. cer
  45. X = b sim + c Snn X= VIm + (2bcm Vin em +(4) bcl sIn
  46. mn
  47. oniu
  48. ebClmn
  49. repex ans.
  50. Ze sim + f smn
  51. Ui ema
  52. Si ergo 10X + 1X + 14 debeat aequari quadrato ZZ, fiet
  53. ben.
  54. (8
  55. 10bV m 110bE lnm + 1 bIm bi C Im et (1) 10bclm + 2HC ∞ref
  56. m
  57. eum
  58. 1obeam
  59. pro priore cotucide sunt autem b, c, constantes, 1= 40y+ 41 m 60y+ 61 m= 5oy+ 51
  60. nn
  61. et et C= 70y+71, et f= 80y+ 81
  62. ex Ex caeq. 7. fet : 10b 40. 50 +16) 10be 40. b0 5 lle = 10. 40 = 80. 6050
  63. 10b 40250. 51, + 10b (2). 40. 41. 50 +6) 10b5, 40. 61. 50 = 70. 40. 51 +6), 70.71.4050
  64. 70. 41. 50 6) 90.8160.50
  65. 80. 60. 51
  66. 10C60.50
  67. 30- 61. 50
  68. 10C 602)50. 51 c (2)- 60. 61. 50 (6) 10. bc. 60. 41. 58
  69. 10c4 65. 51 10c3.61. 50 (6) 10bC. 40. 61 (2). 50.51 + 12b. 40. 50 = 70. 41. 51 + (2). 70. 71. 40. 51 +71. 40.50
  70. 11. 50
  71. 3. 61. 51 + (2). 90. 81 60. 51 + 81. 6050
  72. 61. 5
  73. 10b 10b7 40. 51 + 10b 41. 50 +(6) 10b5 40. 60. 50
  74. (6) 10bc 60. 41 42)5051 12 F2. 60. 50
  75. (6) 10. b5. 41.61. 50
  76. + 2bc. (50y151 140.9141, 60y161
  77. labecmmec
  78. abc lmn sin
  79. 10gosoyeomsoy i
  80. 30. 50. 51
  81. 50y+51
  82. tartto 175.
  83. ∞. st (0.51
  84. F L. X. p. 91.50
  85. 102
  86. 6o. 51.
  87. 1. 41. 50
  88. 2.90. 861. 50 g= 61.50
  89. 70.71. 4
  90. s1
  91. 70. 41.51
  92. A0. (. 51 2. 8881 61. 51 81. b1.5
  93. et nn 2 n s (Z = 70y 171 frograi + g0y +81 160ytb1
  94. Im Sim. Mn
  95. Im sIn

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 30v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0060?run=74