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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 25r

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: 0.73.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. eo + 20Y) (+ V) sive rax + ax, co +20Y) a
  2. prox sumatur 4 X pro 2ax 4 aX fei +2 a4 4 2a7,, + aqu 4 ay + a y
  3. X1 Y+ C. per 2ag +rac 4 45 + 2ayc + cv. sit fayr + a c seu c+ 4 4
  4. sii aq 4 a 2ax + a x r
  5. sen XH
  6. vide 29 jun 1676.
  7. a
  8. aa
  9. guira a
  10. fiet:
  11. qy iag +ayt
  12. aequ. v+ 20N
  13. 2ax +axx
  14. rarv + AaviV
  15. a
  16. 14 et dco aequ vix Xd
  17. seu a + d0 (a)+ aq( a a - a yy + a 9y
  18. ag- a yy
  19. ut ergo numerator fiut quadratus ponalii y aequ. b + Ev + dxx I
  20. a
  21. sit compondid.- 2a + a aequ. Y era
  22. e+ 2e + pV
  23. fiet
  24. D
  25. 12
  26. s
  27. do
  28. +b
  29. 322aX + 7 ag2 = pe2aX + m ax aequa
  30. 7y. se àqt 2ayyt ay yy a u
  31. aequq aqu
  32. 2
  33. (2) aq- = yy
  34. fiet: C aequa49 S.
  35. D aequ. b + 2bC+ 2b d vv +cv + 20dv +
  36. a
  37. u
  38. Cla etagosic procedemm.
  39. a Fav0 2aDYY et pro psubstilatndo valere
  40. tempro dx
  41. cbi Epio Cudua sonic series
  42. rationalis quaeritu
  43. aq agy a
  44. et b
  45. es
  46. 62 3
  47. 363
  48. 9+
  49. 3
  50. D aequ. b12 + 4 bCv + 4bd vD + 2b V + 4bC dv + 2b54 p+ + 4bE V + 3b Cd v + 4bcv + 8b d v 4b
  51. 4
  52. d V + 4bdcEv + Cv + AbC d v + 2CF dp + 4bdv F2
  53. 112
  54. E aequ. C + 4 ev + 6Cv + 4C P + v. et 9’ aequ. C + 8e v +29
  55. +12
  56. 2
  57. arsto
  58. v4 56eV +70 eVbev +
  59. 8CV + V. quibus substitutis debet C comparari cum hac fermula quad rata
  60. se quadrato ipsius: f+gV + hvD+ K v + lvE, seu cum f + 2f9+ 2fh vv+ 2fK v + 2Flp4
  61. sed hinc apparet terminos comparandos esse novem, cor
  62. 4 g4 VD +2ghiv3 + ZaKB 4 E9lV
  63. ue atm comedtiiti nis davitiuum adv. en feciende, sed +hn v+ 2k xV + 2tlp
  64. 40
  65. 25
  66. = KKV + EKIV =
  67. e
  68. a
  69. rar
  70. v

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 25r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0049?run=74