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Leibniz-Handschriften zur Mathematik LH 35, 5, 4, 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: 0.74.

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. 31r); this page is its left half.

The machine reads it as

  1. fiet. Za
  2. +
  3. + 8
  4. V
  5. + Fpga
  6. fiet: ponendo Y() Z+ d, et
  7. et V Z + ed Z + da
  8. (+ fe . comparanda y + β7
  9. + 2)ga. L + 2fgad. cum for.
  10. + fBd
  11. + gr a
  12. + fβga
  13. X
  14. ( f
  15. 4165 d8
  16. H + 16d f + 8 4fC + f V
  17. F 0, sivi (+164~ (- 9f dB
  18. Uende patet explicationem y per Z1d.
  19. nihil contulisse
  20. +16 d ( ((+ 165 3d)
  21. 32 d fy
  22. 2
  23. 8a15B
  24. 4 51
  25. +8df quod est impossibile
  26. =16526d hac ergo methodo solvi
  27. problema non poteste.
  28. si Z Explicassemus per 8 + h, et Z per y + 2hy + ti2, feret.
  29. 3
  30. confecendacum y
  31. Uende 9 r 2 4 (+
  32. + dhy + t
  33. Y
  34. β..
  35. (+ 2f94) +gra
  36. +
  37. (+ sega
  38. fB - f2 -. (t B
  39. 2 f a
  40. con
  41. 4hf - fB
  42. + a
  43. et g 16h f~ - 8. h f B + f2 . Unde Et his suloribus in
  44. 16 av
  45. ultima aequatione collatitia insertis,
  46. fitr:
  47. h + = eh f (16h f- 8hf B + f.3 +f Bah - fC
  48. ~)
  49. seu (+d Bhf2)
  50. + 8hf B)
  51. 6 +g
  52. mula: Ergo ed f + 2fga rs P N = β.
  53. sive 4df 143a + C (, (FB
  54. Ergo g⊓ -4d f s P.
  55. quot valores inserendo in posseeriore collatitia, fit fiet: 6 a
  56. 16d f g
  57. (2
  58. 6
  59. Y fB - +f B 0 quod est absurium
  60. Scilicet ifga a f, et g a + fBgai
  61. scilicet generaliter: gisi Y ,2fga y s+ g a aequentur y lV + ma
  62. 16534
  63. et sumondo l. er in, quasi coqutos, fier:
  64. 81 fel - f β. e g F
  65. ea
  66. es. +f
  67. +
  68. 210- 2frlβ + fr
  69. 4a1
  70. quo valore
  71. in postenori collatitia inserto fier: (FI (+ 2f C A f ma
  72. et deletis caeteris arbitrariis, fit aequatio: (-B ma. Unde fit ut quando
  73. e
  74. cunque ma abest, fiat Y l β id est fiat progressio driangularis.
  75. posita autem ma adesse, series haberi potent, modo sit ma l- β, et
  76. senec hujus summa haberi poterit.
  77. V + ly + l samtis l. et B.
  78. -
  79. pro arbitrio sed constantibus et B differentia abscissarum.
  80. Y
  81. itaque seriei hujusmodi.
  82. quodsi l et B, aequales oitur series Triangularis, si inae-
  83. 11 4+C quales, fiet v.g. ponend. l r72. er Br1. fiet:
  84. 112+ 4- 1
  85. 6
  86. 4 +4 + 4-1 9+6+4 -1 16+8+4 -1 25+10 +4 -1
  87. 18
  88. in
  89. ad +x1
  90. 2
  91. 25264
  92. ad 2
  93. c
  94. (+ 2fga V
  95. + se.
  96. 2df2
  97. t5
  98. 3 .

Cite

Leibniz-Handschriften zur Mathematik LH 35, 5, 4, fol. 30v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00068022:0060?run=73