Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 337r

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: 0.81.

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. 336v); this page is its right half.

The machine reads it as

  1. Ex aeq. 66 exhahendo radicem, fit 60 +40 = 40 60. 10 ni 1So : Y. 1
  2. Rursus ex aeq. 35 , ubi valorem ipsius bd hactenus dilatum inveniramus erut 602-40 4. ab tad: 10. 31 - 11.3C
  3. adderdo aeq. 6B ad ag. 67 fiit 260 40. s Y 4. F H. 31 abu ad: sF 1 91 Qsu
  4. a s inicem detrahendo aegu aeq. 68 ab aeg. 67. fiet 2. A 60 2: 40 40. 60. 513 - 4 f- 11. 31. ab ade si. 1.
  5. et fit 2. 40. 51. f- 11. 31 F a ab -ad. 4 f - 11. 31, : 40. 51= 60 (per 68) 4 ab - ad + 40. 51,: 31
  6. jam et tractanda aequatio est
  7. compendii causa 10. 31+ 11.36271 fiet 15n B 40 51. 71 + 40. 5I. 4. 10, 11. 30. 3) + 4. ab - ad. 9. 10130. 31
  8. = ab. 4. 10. 38. 51 + ac. 4. 10. 36. 5 0
  9. pourmnu autem 31 -0 hoc enim in pe ct
  10. pte est, fiet et ex cq. 73. fieet 40 = 2fab ad 2 et fiet _st H. 30 et 71 = + I1. 3
  11. et ex aeq. 73 fiit 40 ad ab: s1 A og.74 fiet qu . Gato a
  12. 40= 2 Yab -ac . H1 Ergo ab per 75 et 76 fiit ad ab ab ac sex
  13. +d, ubi b et d non tactatur eodem modo, quia
  14. sic facunus 606 videamus anam hoc possibile sint tria Z+L, Etm
  15. cel ex 4g. 71
  16. videamus am an aeq. 79 sit i pte: sit Zl, Zum, Ze et fiat Z- xt Y
  17. prodibit S+t YEmet Htner IEr = b, mA =C nt Y
  18. Ergo ob
  19. a set lr= mn Erg ut lacramur nec habernus sotutionem
  20. B
  21. X+B, X+B, A+d = X + b X + bC X + bcd et proses ponendo e+9: E
  22. fiet X + ZeB X + erdi 4acd X + Cd c quo egunti poteri eslat pdra
  23. gitandum euu nobis est dej evolatione aequationum 7 3. sed puto eriorem
  24. qualis fi cuis radio proinde poterit, summari.
  25. an
  26. C
  27. Porro ex aer. 74 fit 40. 51 ab - ac. 415. 30. 55 = gub ad 16. 1. 1. X. 31 . ab - ad; 1 210
  28. sit AOas ( porro F
  29. (4 . 10
  30. Ergo ex aeq.73 fiet Pab. Pac B. 18. 4B. sI (C 32. 10. 11. 30. 21 ab - ad f - 11 3 D + 4a b - ad. L. 1 3 1. 11 (F) a ubm ad L. 1 31
  31. (~I1. 3I
  32. 40. 7C +4, p. 11. 30. 31 V, 4 ab - ad. 71 (+ 4 ab- ad. 4. 10. 3130. 3)) + 4. ab. ac. 18. 30 31 ( 16, 10. 1 30 31. ab.
  33. seu 40 =, a n. s 4. ab- ad (7, - 4. 1. p1. 202, . 3est) e si
  34. L71 + 4.10. 113031 (4ab 4 ab ad 71 + 4 avaac.
  35. (78
  36. sed per 25 est 40 =
  37. 2 V ab -ac, 10. 38. 51 = 16. 10. 1. 30. 31 ab ad
  38. V712 +4. 10. 11.30. 31
  39. su Ergo Eh
  40. Ergo fit
  41. 2st autem 10.30 = 1.
  42. (-n.si. Si a 12 ab = ad - dac = 2 t ab - ac si = (16) 1. pab - ad, Sgab. autdiraune
  43. iuplicat, quod sublato quantilate 40, b, et a, se non habent eodem modo
  44. (- 410. 30. a
  45. per 31 41 = 40, 70: 2.10.30 et per 1713 02 - (10 ∞ 468. 1L21 - ab 340. 11 46s. 10. 130. 5
  46. 10.3C
  47. aba
  48. 10.3+ 4. 30=21
  49. poo EX 22 et 3I est 6 60. 71:, 2 10.30. Ergo per 16, 02 = b. 1 + 4. 10. 11. 31. fon 02= 60. 31. + 4. 90. 14 130 2 ( . 1.
  50. 18. 8 . 11. 30. - 1p. 31 150 pergpand 51: 1. 1131
  51. 1 10. . 1. 30
  52. suprestae quatre orta ex essumta 64 quia posumus 02 + ac =0 fiet sit
  53. tandem est aqu60 et agitur de invemenda 40
  54. 2ab = ac ad seu Z1
  55. nisi casu specialis
  56. C
  57. nandum
  58. E
  59. Ergo ex71, 72. fil 2. 48. 51 f. 11. 31 + ab- ad 4 f- 11. 31 = 40 V 4 ab- ad + 48. si ubi sublata
  60. 3
  61. P. 3
  62. 4. 10. 30
  63. sit sit. 31 130C St
  64. Ergo 60 - 40 = ad- ab, 4. 18. 30, :, 7 1 + 4 10. 11. 30.3)
  65. idem autam
  66. + 8 ab - ac si

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 337r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0669?run=74