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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 170r

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

One image of two folio pages side by side, registered by the library under both labels (also fol. 169v); this page is its right half.

The machine reads it as

  1. ibus - y + lb + V 1 ray + a y +g le
  2. 2b -1 y + b y+
  3. 11
  4. -2a + Al
  5. 0y 20g y +207
  6. 1. 1 A Et quadramb
  7. e
  8. 298y
  9. 9 un glga
  10. 1) +4lga..
  11. spsega
  12. (. 01a)
  13. Uende, b 1 8 sasque 1OSar4 t 02 s 2a
  14. loco lg ponatur l + 9. fiet Zn qu 110s asq
  15. Item
  16. Ergo
  17. FN Cap +9 + 10
  18. 2. 0
  19. Egt
  20. ( O saesqu (n
  21. Eg A 4. 0 Sa5qe 0)
  22. Extris calento theoremate
  23. duui possintimem ralilci ) ar a eta
  24. q
  25. es
  26. cloco
  27. Ero fiet. +2O Sa sq +O ap + a
  28. b - y - 2ly - V ( Srayt rah + a y + ra hy + a h +
  29. tende fiet A A B + g + 2B9, vel A = B g (72 bg. et ordinamo:
  30. 9 + a VV iha V + 2ahY)
  31. rat +a hQ FI 29B. et quadrando.
  32. Ii
  33. 39y 10Dy07e 2D
  34. ag 145C
  35. ponatur jam in aequationem cabica soleda data, cubi
  36. dari, tollatur ex sea terminus secundus, atque inde mul
  37. pe incognitam, seu ad quartum gradum attollatur
  38. ut s ed si equatio sit X 4 X a4
  39. attollatur ad quaertumque dabit: X 4
  40. ap d
  41. Sic potius: 8 26 y - 2ly- 1 +h2
  42. unde b - 1 y
  43. 2+ 2b
  44. 21
  45. F 9 - 2a
  46. V
  47. ja
  48. +t rI 29A.
  49. =gu
  50. 0714
  51. Ponatur secundus terminus aequationis cubicae esse repletus,
  52. Et quadrando
  53. +20D 73
  54. exufacto ad quartum attollatur, patet fore Y0.
  55. atque ita valorem ipsius h inveniri per 9, et l. valor
  56. L ipsius b, ex secundo termino, inventur per l. valor
  57. valor ipsius g habetur pure ex quarto bnmino;
  58. denius valor ipsius H habetur ex lommno 3dio. Si vero quartus terminus sit repletus, auferatur secundus
  59. habetur et 3 per, l. ex termino . Itimo seu sto
  60. c F
  61. 100o.
  62. D e On
  63. h
  64. Suag 129 ag +02
  65. 126y
  66. ega
  67. ag.
  68. t, aequal
  69. a crculi illu
  70. y
  71. vag.
  72. p

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 170r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0339?run=74