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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 380v

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: 0.75.

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. 379r); this page is its left half.

The machine reads it as

  1. a
  2. ax + a.
  3. Comparatio diversarum ejusdem Hyperbolae parerum num dsse differentia
  4. int
  5. sas
  6. =y. Ergo a =ytax + ay. Ego a = ay = y lax. Et a tay -2a y -y ax
  7. sive a + ay - 2ay = yX seu a + a - 2a = X.
  8. . 2aX -X - s
  9. 2aX -X - a = y -a.
  10. vaxAa
  11. y
  12. x = 2.-
  13. 3
  14. s
  15. 2a - X 2aX -X
  16. a
  17. 2
  18. 1 Ergo Y + 2aX =X 2
  19. ysax +ay.
  20. ve
  21. a
  22. 2aK - X
  23. 2
  24. A-ay= ytax.
  25. V
  26. Ergo = X +a = Sy a a + a 2ay y a X. Ergo ∞ = a +a - ra
  27. a
  28. ~
  29. e
  30. CX = Sy-a, seu X + a = y seu X = Y- a. sed hoc impossibiles N, quia
  31. non potest dici
  32. Ergosint X LaX
  33. a
  34. a
  35. recesse enim
  36. esse ot sognino em radiasn fa t oesrili non corit
  37. esse nihilo minorem, sed non ideo negligendae inc figurae magniaria
  38. = y. Ergo a = y. Ergo a = y Ad divisores per binomon ergo
  39. utendum est
  40. V2
  41. ax
  42. fractionibus Hyperbobeides, non tantum parabolocides darotibus
  43. sax
  44. a
  45. a + b
  46. lle à- 1
  47. A
  48. sax + a
  49. a
  50. a + b
  51. a
  52. ab +b
  53. Item
  54. a
  55. ab +b
  56. v
  57. u
  58. a
  59. ab t - (2
  60. a (a) a
  61. +
  62. abub
  63. ab
  64. ab +b ab lb) ab+b abeb
  65. -
  66. P
  67. v
  68. v
  69. abab
  70. sa
  71. a
  72. 2
  73. F ab +b
  74. a rb)
  75. et. Mirum
  76. a
  77. a3
  78. a
  79. o +
  80. e ax +at ta Xa s ax sax
  81. De
  82. etc
  83. Horum summa mplemento est ipsis summae ipsorum: + a + 2 - x.
  84. sax
  85. Hinc jam oritur memorabilis quaedam comparatio divet sarium Huperbolae
  86. ejusdem partium, eum differentia inter eas videa: 2a et a
  87. videatur quadam summa ejusmodi infinita ex hiberi
  88. KaX=X
  89. y. Ergo Y-
  90. 2aX - X

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 380v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0756?run=74