Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 111

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: 0.78.

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

The machine reads it as

  1. e ad collendu
  2. ibere aequai
  3. lacione prop
  4. ad gu
  5. DE, relmine
  6. Cranstorm
  7. Er austorita
  8. eric, tram
  9. Se1.
  10. a dTe
  11. H d
  12. ne t d
  13. quamicalent
  14. 1oque aliqua
  15. et, liradin
  16. licey denon
  17. DInataTUI:
  18. ninacarume
  19. IntMII
  20. IHI.
  21. 15 PeF IBCBB
  22. DnISPTOpOlI
  23. alrimus det
  24. CmIutatiSde
  25. A O u A F L O N U H.
  26. ITY
  27. Scd pro aequationibus quaruor dimentionum commodius et,
  28. supponere quadrarum ulcimi termini dirisum per incognicam
  29. quanciratem R esse xquale radici incognitae, atque ita transtor-
  30. IN2IC aGuatIONCM.
  31. 1
  32. Exemplum CubicarUM. PFOPONAEUE X3Z- L m MX = n3 ∞ 0. FAO
  33. nE
  34. P2 ∞ X, e, transtormatâ aequatione, habebitur
  35. s
  36. mm n3
  37. R2
  38. 13 ∞0. Flinc mulciplicatis omnibus per R, Het n L M Mn
  39. R+ = n3 R ∞0, dd eoque divilis per n3, Het no- L M M R+ -- R ∞0,
  40. hoc est per transpositionem, habebitur R - m m R+ = = no ∞0.
  41. requatio cubica, carens penultimo termino, de in qua cum datur
  42. 3
  43. R. ex Luppolitione habetur x ∞ P.
  44. 213
  45. Aliud EXempluM. PFOPONatUE X3 X = M M X = 13 ∞ O. FAO
  46. n3 mmus
  47. R: ∞ N, GICTQuC p6
  48. R2 13 ∞O, hoc elt, R 5- L m M R 4 X
  49. n∞0. aequatio cubica, in qua penulcimus cerminus def-
  50. ciE, _ in qua cum datur R2, ex supra polica supposirione habe-
  51. EUF X.
  52. Tertium ExempluM. PEOPOnaTUF ~3 X = M M N 1 n ∞ O. F. AO
  53. nd M m n3
  54. e ∞x, erieque, transformat a aequatione, po
  55. R
  56. hoc est, R- MM R+ X. f no ∞ 0. aequatio cubica, carens penul-
  57. timotermino, ee in qua cum datur R. ex suppolitione id habetur
  58. quod requiritur.
  59. Exemplum Ouadrato- quadratarum. PFOPONaEUY X+ X = M M X X
  60. Ln3 X = p ∞ 0. FAO = DX, _, traNSFOrMALa aequatione, PICF
  61. B mmpr, vpP -p ∞ 0. Htoc est, mulciplicaris omnibus
  62. R4
  63. R2
  64. per R+, habebimus pe =mm p+ R2 - - n3 P P R3 -- p+ RY ∞00, dC
  65. proinde dirilis perpu, habebitur R- R3- L MM R= F -- p+ ∞O.
  66. aequatio quatuor dimensionum, carens penultimo termino.
  67. Exemplum secundum. PFOPOMAEUY X + X - f - M H X N. -- n3 X -L p+ ∞O.
  68. Supponendo D transformetur aequatio, Aetque + - - - R3 +
  69. Mm R Y -L p ∞ 0. aequatio in qua penultimus terminus de-
  70. ficit.
  71. ENCM-

Cite

Ps. 2, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0135?run=74