Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 115

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. u aqui
  2. u, Bonpol
  3. pi
  4. racim
  5. sit a.
  6. quio
  7. reperitu
  8. 3- - bX
  9. ovserant.
  10. LlXr
  11. 10, uo
  12. CioruI
  13. ICetUEI
  14. PX +
  15. aeia
  16. =1
  17. 1III. Set
  18. ilia,
  19. 113d C0
  20. lhicP
  21. N alia
  22. 1D
  23. aparation
  24. do duletta
  25. Fret
  26. si
  27. A O U A F I O N I N.
  28. Exempli gratia, si dentur hae aequationes X x b x - CC∞0
  29. X X = b X - d d - b b ∞ 0, habebimus X X = b X ∞6C, 8
  30. X e b x ∞ bb = d, er90cc∞ bb = d ebo
  31. Venio jam ad alrmmetrias seu irrationales quantitates, pro
  32. quibuscollendis, oportec tantum supponere literas aequales lin-
  33. fulis terminis alpminetris aquationis propolita. Oua quidem ra-
  34. tione non tantum obtinebimus aequationem propolicam, in qua
  35. omnestra licera lune substituta; led etiam tor alias, quotliterx
  36. Fuerunt suppolita. Unde collaris ordine omnibus hisce equatio-
  37. nibus, derenietur ad aequationem, ubi nulla licerarum invenitur
  38. ac per conlequens nullum signum radicale.
  39. Exemplioratia, proponatur xquatioc- L VC. bbx = V dX ∞O.
  40. Ad collendas isitur ejus alzmmetrias, PonamuS R ∞ V C. b b
  41. _ Z ∞ V dx. Quibus in aequatione proposica substicuris, hobe-
  42. BimuS c. LR- 2 ∞O; aeque ex reliquis supposicionibus erie
  43. R3 ∞bbx, d ZZ ∞ dx. Primo, ad collendum R, habebimus
  44. R∞ Z 63 IdeOGuC R3 ∞ Z3 36R Z - L 36CZ i c3. REqui eAt
  45. quoque R3 ∞ bb x. OUare CrIt Z3 --- 36ZZ 3CCZ =- 63
  46. b b x ∞ O, de per consequens 23 ∞ - 3 CZ Z = 3CCZ -
  47. 63bbx. Sed li mulciplicetur superius propolica aquatio 2 L
  48. ∞ d x per Z3 habebitur etiam 23 ∞ d X Z. Ergo erie
  49. 3622 = 3662 c3 ∞0, de substicuto d x loco Z Z, habebi-
  50. =dx bbx
  51. MuS 36 d X 3662- c3 ∞0, hoc CA, 366Z ∞ 36d X - bbx,
  52. eu = ∞
  53. LL X
  54. n dX bbx
  55. Cdx = bbX - L C3
  56. 3C6 + d X
  57. 36C- dX
  58. dX
  59. Oux si mulciplicetur per Z, Aet
  60. XZ F bb X Z = C32
  61. .Sed est quoque Z Z ∞ d N. I9i-
  62. Tux habebiius 3 cdXZ L b b X Z - C3Z ∞ 3CC e X - p. 1b ct X X.
  63. det ab
  64. 3CCd X - L c d X X
  65. BC d X + bb X F c3
  66. 3Cd X = b b x L c3
  67. 366= A X
  68. D 2. Invenca dutem est
  69. Duare habebimus tandem

Cite

Ps. 2, fol. 115. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0139?run=74