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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 273r

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: 0.78.

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. 274v); this page is its right half.

The machine reads it as

  1. De irrationalibus aequationum Radicibus investigandis
  2. -aq X p1 ayf (3) ba
  3. r ibba.. ..
  4. 1fhaβ, bda - ..
  5. (1) r
  6. si jam ponamus fH g
  7. duae aequationes insigni utique
  8. comipendio inter se coincident, et
  9. +3fg a(3bca. ..
  10. +3 964 freda ...
  11. +sfyta () ba .. .
  12. a 44 = 3923) bca
  13. + a q - 6fg1bca
  14. 3f iB bda +5f H5 cda
  15. a47g 10bda
  16. pes..
  17. ec
  18. (3)7 0.
  19. fur ergo Cer. 4qu
  20. ex aeq. 2. h
  21. dis
  22. +Ighabida 1.. rostitibia..
  23. sufficit construi ex ipsis pi
  24. unam.
  25. Methodus nova
  26. + g 1( ca
  27. (Dri
  28. 391cda
  29. 10 cda
  30. At ex aeq. 3. habetitur
  31. rusus h, nam fiet:
  32. Quos duos valores ipsius H
  33. aequando inter se, habebimus:
  34. -9370 bca bda X9 10) cda + aq
  35. secda
  36. =6 g3 bca
  37. Sed jam comparet difficultas, nimirum necesse est omnus tres:
  38. bc. bd. cd. fiari aquoles sumi pro cognitis, unde sit
  39. sit bc e B 1 . bd ⊓ B.
  40. cd p 7.
  41. ent: Cr Z. et n Z. ergo Z e Z F Ergo dp 7.
  42. idem dri . ergo Z p b7. Atque ita b. quae per ultimam
  43. c et perconsequans ipsae c. 0.
  44. aequationem inveniri debebat nale invenitur per hanc Unde postea
  45. . 1. 3. T. g. ope residuarum duarum aequationum quaerenda
  46. sunt, quod sec satis difficile fiorit
  47. si qx e arsb tane, be
  48. Bent HI
  49. a ql . . . . . . . .
  50. pX bpse ca.
  51. 3pbe ( bca ..
  52. (1) 10
  53. ocae e
  54. 9 .. .. ..
  55. tap a.
  56. 43pbc 1 bca..
  57. 2770
  58. _ b cbc bbe bebca
  59. s0 b6c b e bc
  60. ari
  61. Bes
  62. +bbc s0b
  63. 4HC.. ..
  64. Cb22
  65. aqB. (8b22
  66. agc 6..
  67. a9. bc
  68. agias
  69. te fta
  70. (b c7 6bc b
  71. 10 b cbC a
  72. 1bcn 18bcan
  73. ubi aequattones A et 2 coincidunt ere ipis st L bc Et prmndo bC r ya et quaelibet
  74. exipsis divida potest per sC ba. et si ponamus 4 bE r Y. Ret ex aeq. 1. vel 2
  75. sequens. y2 43
  76. ubi malum illud, quod scilicet duae aequationes 1. et 2 non
  77. coiaiint. Item quod in ullima habemo contentum b. erc sed et. B. 12
  78. ipsae
  79. +6 egha l bcd
  80. la2 bsBc
  81. bc3 (622 a( B2
  82. + b+
  83. sit b4+ + b3 =+ b2 + 1
  84. ba
  85. cae
  86. + si da
  87. L aY
  88. (4) A
  89. 2B 1

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 273r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0545?run=74