Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 282v

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: 0.80.

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

The machine reads it as

  1. caeterum quod de aequalime adlineam rectam, id de aliis omnibus tiliter observari potest in
  2. aliam formam redigi per multiplicationes
  3. Colerum si aequalio duas habetradices aequales facle ope lineee rectae id est tangentis tantum
  4. ducta de solvitur problema: videndum ergo an problem aliquod per Tianeformationes
  5. ouipere possit duas radices aequales: Esto aequatio: duarum radicum aequalium.
  6. V + 2ey + e. Multiplicata per FY +g. dabit, s y +refy
  7. Esto jam aequatio cubica data:3+ 1+ Ma3 + anv.
  8. c6
  9. Unde pro Z porendr 2y + _, coit Z2 f
  10. dhoidendo aq. 3. per ta, fiet:
  11. et dividendo aeq. 6. 6. per
  12. 1Za P
  13. ma
  14. + a
  15. 23
  16. sunt autem collatitiae tres indeter
  17. minatae Quatuor, b. c. f. g8 uria
  18. Vy + 26c y + 3b5 y + c
  19. + 2ed
  20. 2, fier. (8)
  21. + e V
  22. + a.. C + 2age- + age
  23. 37 + 1ac7 + 3ac y + (et
  24. + la . il a c. te
  25. ergo videtur supernumeraria esse, quod videamus,
  26. fingendo interm c. Sed tam bideo non esse nisi
  27. e quiaq semper sunt simul, et proinde
  28. aita..
  29. unam repraesentant. Ex prima collatiia. ag 3 ac + la e
  30. ex secunda: rosacet ilae - (90 p 3ae + Elar dm (-)
  31. et extutia. C hac + la 5 - 20 a
  32. per ac
  33. 13
  34. b.
  35. 17 b3
  36. bne
  37. enc
  38. Sr, Aer. (1)a e , lacc- e ac a 0 + 21ac + anc
  39. 3b
  40. b
  41. 62
  42. 363
  43. (x C3, in aeq. 11. substituendo ejus vatorem ex aeq. 12. fiet:
  44. Bace + la c -2e L a3 a 10
  45. od
  46. 36
  47. 1a5 e + 2laeec - e’ac = r la - aem C
  48. B binc F
  49. b
  50. 3b
  51. elidique poterit ipsa _ c. Restabunt denique inncognitae duae, C, et b. quarum nentra
  52. amplius elidi potest, eoque casu videndum restat, an possibile sit ita explicare unam ex ipsis,
  53. ut altua plane vel saltem pure habeatur.
  54. + 1.
  55. 158y
  56. +g.. +2ge
  57. +2lec. + 1c
  58. bn.. + bme

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 282v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0564?run=74