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Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 9r

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: 0.70.

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The machine reads it as

  1. Insigne calculi compendium in diopeanters
  2. a
  3. X - y p b. X + Z et
  4. (
  5. 2
  6. 2
  7. X - y p a b
  8. x- Z d
  9. e
  10. X= ZH cd Y. 27e52
  11. Si ultimae tres aequationes efficiantur, et sint X. y. Z. primi inter se
  12. necessario effectae erunt priores omnes.
  13. jungantur 7 et 9. fiet:
  14. 2C11
  15. X H aT+y Cd +7. Ergo y H Cd + Z - a b, H c5 +Z per 9.
  16. (10)
  17. (12)
  18. Ergo fiet: Cdi a6 + e
  19. 2
  20. (4)
  21. 163) Css est + yt Ergo ZH ( Ca b F (X Cd
  22. VH Xab H
  23. 2
  24. seu cd
  25. (15)
  26. 5+CS ut ante: sit cd p + ab(4) ef + g
  27. (13
  28. fiet cd (ab + cf+ g + +(F) rabes F 2abg (4) 2efg 1 (a6 + e77)
  29. et abp 97+) 2049
  30. =(+) 2ef =
  31. sit ve xAhx a
  32. X ab + (X 2xh+ h
  33. thd
  34. Cdpi.
  35. =1
  36. 2h
  37. 2m
  38. ca
  39. 2
  40. et X cd + m ab+h
  41. et 2m A 2h
  42. Aim, -ne ab +ef2
  43. 2h
  44. fiet: ab 2hef +2hm-imiti xhers +tm
  45. ua
  46. 2m - 2h
  47. I Am. ph
  48. dA
  49. resu ( 3(Bresu(+ rgest r9
  50. (H2etag
  51. rh
  52. XY CZ+ m effiet ex 8. 2+ 2Zm + m, Z+ Ca
  53. L
  54. n
  55. a
  56. retqe
  57. A() ref =29
  58. fier XC aeb +h. et yp, +ab +2)ti ab- t
  59. Ek
  60. et Z1 Scd-m
  61. s
  62. -y
  63. e
  64. sunt hes plure sese formulae quadrato aequandae, factum
  65. ex omnibus in se in vicem aequetur quadrato, quod si
  66. illae omnes ponantur primae interse, necesse est
  67. etiam
  68. bXy + CXY + dX
  69. 6X t cy + d7
  70. 1X
  71. X+y b
  72. (4 bX CG X+y ⊓4
  73. Y+ZB C. y- Z H f2
  74. D
  75. ingulas esse quadratas. idem est de Tubo
  76. uod
  77. si hoc aequatio
  78. av
  79. =X
  80. +X y LXG
  81. X-y
  82. X -9V
  83. X7- Xy = 7Z0 + yZV
  84. 2
  85. + et 7V
  86. Axt -g4
  87. XZy) xyt
  88. V7u
  89. solvatur, in numeris integris
  90. strimis inter se, habebitur habentur tres numeri x. y. quaesit
  91. X
  92. qu +yZ2 abedtu
  93. cy
  94. y-
  95. 2
  96. 1
  97. rutionalite

Cite

Leibniz-Handschriften zur Mathematik LH 35, 3 A 30, fol. 9r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068243:0017?run=74