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Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 1r

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.

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. 2v); this page is its right half.

The machine reads it as

  1. eopeem litora
  2. Resolutio rationalium fractionum unius indeserminatae
  3. respectuetus rationalium in partes, se maxime simplices respect indeter secundum ipsam
  4. le 1 ay.
  5. b xtdC Xia Xrb
  6. eta, xib Xtb xta a. b
  7. (+) . .., = - L, 1 -.-
  8. Rta, xe
  9. xta, x+b, xtc
  10. Xta, XtC Mb, XtC
  11. seu fiet xta, xtb, xtC
  12. XtC Xta a-c Xtc Xtb b- c ) a - b
  13. XtC a- c. a- b. bc Xtb a-b, b-c xta a- b, ac
  14. ba-at R + 1,
  15. Vel ut omnia enuntiemus homoeoptotos
  16. xtar
  17. a-
  18. xta, xtb, Xtc
  19. Xta, XIb, XIC, XFd
  20. e
  21. Xta, bia, aC
  22. Xta, ac
  23. Xta, a -b, auc, a- d
  24. Mra, aebactsga bud
  25. Xta, Xeb xra, A. b Xeb, b a
  26. Et similiter
  27. X+b, b. d, b-c
  28. Xtb, b-a, bac bad XrC, Ca, C b, C. d XFd, D. ad .b, d. C
  29. a + aa
  30. G22a J. 2a + aa =X xra
  31. 73 - 3aZ + 3a - a = XX + 2aXF aa = a = XX - ax +fau - a
  32. XROR sit X+a = Z fit X = Z- a. et fit XX =
  33. Ac et similiter X = Ei via a
  34. et similiter X = x - a xx taax -a xra
  35. =3ax3aa Z
  36. Et ita porro.
  37. dy=, smX +a posito V esse rationalam ex X
  38. itaque resolutio est absoluta
  39. Sit jam summanda quantitas de axtap
  40. nat Huc enim
  41. Sit jam summanda quantitas dus= Ax. V smxta. sit t Cet
  42. bxtap
  43. sit mxtan L
  44. bxtac da
  45. omnes quadratyrae Conicae revocari possunt.
  46. ) a(ZZ- ar et dx=
  47. aamX + an = bx 2Z + a(7Z. Ergo X=
  48. Ergo dy = V3
  49. aam - b73
  50. C2ab CZ3 d2) + 2CC MZ + 2abc Z3d3- 2a bn Za
  51. (2) - b32+ aam
  52. seu dus vZZ 2v7Z aZ, em -b2
  53. lEt b22+ aam
  54. Reslvatur t
  55. praee
  56. b Faam racsque - ac dn 26
  57. (2- bZZ+ dam
  58. 1S. v= aa. X fint dy-
  59. (7) eb 1X raam L. 2aim
  60. 1: 2a tm
  61. AXC BZ aim, Zibraim IZobtom, Esb =aim
  62. (2)Zib- aim b7- aum
  63. 1:2am
  64. rarm
  65. posterius ilerum resoloi potest s nam v. aam 2b -aim Zibtarm
  66. 1. radm
  67. yb-aam
  68. gobtatm, Zib asm F. gsbratm
  69. Ergo - 1: aaam (- 1: +aamm
  70. 1. gaam
  71. b tata
  72. siri Ro bZZ scribatur coco, et pro maa scribatur hh, fiet. I: () coco- fihi
  73. (elbZ2- aan (217 1b -aim b72- aam).
  74. Pscocontin = aht esconti cocatito corhi
  75. Ergo sit estu. naa = Etebaam BEE. na 2b r ami
  76. e) 1: + mar
  77. sesoren sebreta
  78. cZZ aan, aam. b2
  79. (A) 1aim - 1. a im. Exquibus prioris summatio datur
  80. 14 b7Z aam
  81. (25Zsba num, btaem.
  82. Resolvatur (B2 ma
  83. Jam
  84. denique quia
  85. iml + +naa rmua + 1: dma sa
  86. at
  87. o eir
  88. v tti et coct coth fiet
  89. 1. 8 ma sm
  90. 2
  91. 1. 4a
  92. bz Z- dans
  93. Ad usum quadraturarum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 6, 25, fol. 1r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068070:0001?run=73