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Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 134v

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. 135r); this page is its left half.

The machine reads it as

  1. si debeat esse y, et y+ m _ et y+n quadratus, fet
  2. 1
  3. et 1
  4. ve +M et vv+n quadratus, _ vy = vo + 2VZ +Z2 seu v = m - Z794
  5. et rursus v = n - coco; Co it sit mco - co ZZ = Zn - Zcoco
  6. seu v = 1 - Z = n - c0
  7. 0
  8. quid si sic vvam = co rpi et v +n 1088
  9. V WV + inquadrat, sit B = 10+ nC + cu;: 20H
  10. 10
  11. sit V = 2 +29 et 22C+ 29,:, 30e + 2.31 C + 31
  12. sit
  13. t Ze n. 30 C +4 n 30. 21 + 613031
  14. 64.
  15. +2. 21. 23522
  16. _2I +2.11 22C + Z2l +2.82. 25V + 292
  17. 66-
  18. 64Ct + 69e + 54lC + 67 e + 68
  19. 69
  20. 2
  21. 8
  22. est
  23. 65 = v
  24. 67
  25. 64
  26. 55 et 65. 67 + 8. 64. 68- 4bb. 4 B
  27. et hoc fieri debet bis secundum nm, et secundum un
  28. ex 3
  29. ilaque
  30. et
  31. (4n. 30. 31 + 2. 21. 22 - n. 30 +21
  32. N. 30. 317. +2. 22. 23
  33. n. 31 +23
  34. quidsi 64 et +65 C +66c +67 C = 68
  35. comparetur non ato, sed facto ex quadrato in aliud:
  36. quod utrobique sit ita factr ex votum in rernaculetus.
  37. 10V + 12 aequ. quadrato, ut et 20v + 22. sit V = f50C + stC+52
  38. Sit v = (52 C + 53C + 54 :, 60 e + 64. fie tque
  39. +10526 + 10. 538t 10. 54 aeq. 1Ito Ergo 4, 10. 5t in 10.54 aq. () 10 53
  40. 2.12. 60.6)
  41. +12. 6021 +2. 12. 6061 C +12. 612
  42. 20. 53
  43. 12.66 12. 6,
  44. Et similiter 4, 20. st in 20. 54, aeq. D 22 b0 61
  45. 22. 6 22. 6,
  46. quodsi jam fiat Et fet se = ( 10. 53, + 2, 12. 60. 61 -, 4. 92. 65. 10. 52+ 12. 68,: 44, 10. 52 +M. 68
  47. = ( 20. 53 +2. 22. 60.6) - 4. 24. 6(2- 20. 52 + e2 689:, 4, 20. 52+ 22. 60
  48. 16.53. 20. 52 + 10.53, 22. 68 + 410. 1253. 60. 67. 20. 52 + 4. 1X. 12. 53,. 60. 61. 22. 60 A166.
  49. =4, 10. 12, 52. 612 20. 52 = 4. 1. 12. 52. 617,. 22. 60
  50. 20.53 210.52 +20.55. 12. 68+ 7. 2022. 53. 60. 61. 10. 52 + 4. 26, 22.53. 60. 6. 12. 60
  51. aequ.
  52. ( - 420. 22. 52. 61. 10. 524 - 4. 25. 22. 52. 61. i8. 60
  53. ponamus esse 16c Et fiet: 52 = C 1 (B 1, 10. n. 60532 + 4.10. 12 2 s1 6153
  54. 12 68 410460 0bt.
  55. Et fiet 416 20 5352. +16. 22. 6853 + 4.1012. 20 6061. 53. 52 - 4. 1. 12 20 b2. 57 4a Harto b, 53
  56. =10. 20
  57. =4. 10. 12. 22.6826(52
  58. + 4. 12. 36. 22 60.61..
  59. = 12. 26.60. = 4. 10. 36. 226061 .. +4 10. 75. 22 61.. -411. 2 bo61
  60. si sit 12 = 22 ut in conicae curvae elemento, fiet
  61. evanescent 5) termini 53. 52, et 52, et 53 et 52
  62. et fiet fet 52 = 10420 12. 66 :, 1020. 20-10
  63. seu fiet 52 = 10 + 20. 12. 65: 10. 20
  64. (07+ 280. 81C + 81
  65. 90(2 + 91C + 92

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2a, fol. 134v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068197:0268?run=74