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Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 281v

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: 0.87.

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. 282r); this page is its left half.

The machine reads it as

  1. Ipsa autem aequatio collatitia exterminis ultinis aequationum
  2. nempt. 6. et et 7. vel 20 et T. erit:
  3. no + n = 56 M13 - a (R) et pro n. et mn. substitiuendo
  4. fiet, 12
  5. valores inventos ex aequationibus 23. et 25
  6. + 112 10 p2
  7. iba qu saer. n6 (7)
  8. 9, 6,6
  9. P a (R)
  10. - β3) 10 36a 2
  11. quam per compendium ita enunti abimus
  12. 10 (28)
  13. m. + ea M + eas A ea - 4 fa
  14. et erit mo
  15. =ea + ea - +favrace
  16. 29
  17. Necesse est ergo ut C sit major quam 4fa, senes
  18. vel ii ipsas seu habelitur determinatio
  19. Habemus ergo determinationes duas, unam ex aequatione 16
  20. 2 (30)
  21. quae est: 5P p 18 a 2.
  22. alteram n e Bb) 4fa ex aequatione 29.
  23. sive explicando e. et f. secundum aequationem 27.
  24. C
  25. et
  26. pro 10 110 P - 36 a Q. ponendo (P) ut jam ante
  27. feceramus quoniam scilicet (D) secundus terminus aequationis 6
  28. coincide aequivalet ipsi ... secundo termino aequationis
  29. coincidentis 20. ex determi 31. fiet.
  30. 117 11, (P)
  31. 4, 81, 36, 36
  32. 4, 11
  33. 9, 6, 6,
  34. ’a (R)
  35. +a(2, (32)
  36. +, R
  37. 1
  38. 131, 36,
  39. ubi quidem quantitates T. AT. SI sunt affirmativae
  40. sola quantitas 3 non est signi determinati. Patet
  41. ante quantitatem Ante omnia autem videndum an
  42. quantitas ) sit major quantitate TI. nempe sive an
  43. sit 1 1L Y , hioc 11, 11 p 1, sive 11, 11 B 9.
  44. 6
  45. est ergo T ad 1 ut 11, 11 ad 9. adeoque multo major
  46. quod si ergo cstet B fieri possit quantitas affirmativa
  47. (3q
  48. (vel saltem 976, 6, 9, 18 aR
  49. p3
  50. haud dubie effecta erit determinatio 31. sive 32. Quorum
  51. nentrum si praestari possit, integra determinatio 32. in
  52. calculum vocanda erit) et efficiendum ut 11, 110 - 8 (P5)
  53. a (R) sit - 2, 11 (P3 R)
  54. 1, 6, 6 lt
  55. 9,36,36
  56. Sed quoniam effectis
  57. determinationibus 33, vel 34 habetur determinatio 32. ideo
  58. brevissima
  59. cum sit 33, quo ad calculum facillitua, ab ipsa incipiemus.
  60. sive .h fie
  61. vel (P F

Cite

Leibniz-Handschriften zur Mathematik LH 35, 14, 1, fol. 281v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068201:0562?run=74