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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 82r

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: 0.79.

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

The machine reads it as

  1. De translatione coordinatarum. Normalium
  2. ad unum axem, in coordinatas normales
  3. ad alium axes
  4. ii ie
  5. e nna
  6. AB, X BL, y
  7. itr
  8. AMZ ML, Pr:
  9. LM: MK seu
  10. YFGILF-
  11. tun
  12. ot G.16 et 1G.FG it
  13. ABx. B x= W GF
  14. Utseu X = R GF K LG: h. LG = _AMsenZ, - 5d
  15. GD = Ad seu ML, s Vp Ergo X = - i1
  16. J: SI+Y
  17. Eodem modo s LB sin y LNDEr et L
  18. = Z+ ad a xd= Nd OAd ih Ergo
  19. Lase
  20. Zearem
  21. si ntstria autuli Rectidtatera aa Hbb = cc
  22. pbn
  23. aa +bbec
  24. ut aa a+ pst
  25. saat bb
  26. aabb quosis data
  27. fiet FL FG. LF-: b. a tam r. et siet
  28. aa + bb, seu aa + bb = ee auq H a a rbb + 2 ab.
  29. bs
  30. seu _ 1r ceat 1 rec Y + een seu rra e, Y +1
  31. seu r et (N et ec-
  32. LB: LN:: VI dLL. F + DG _ FG: GL.
  33. jam GL = FG + FL. Ergo LB. LN:: FG: SFG2+ FF
  34. seu LB: LX :: F1: f1 + 1: rY. seu LN=
  35. si Et y (seu LB) = LN: Si+ 1: rr. jam
  36. LN = AM seu Z + DN. et DN: AD seu v:: LF: FG. 1: Y
  37. Ergo DN = T:r V. Ergo denique fiet:
  38. _ y (seu LB) = Z + T: r V: E YI + I. rY
  39. sit jam aequatio ad circulum Xxagu = aa, fiet
  40. Z2 - 2 2Y ZV + Y N + Z + 2F. r ZV + l. r VV = aa
  41. +rr
  42. 1. = 1: rr
  43. ubi debet evanescere ZV, quod an verum, experiamur, fit scilicet:
  44. -2r = 2Y + 2Y F 2Y3. nempe _Y = L 1.Y
  45. Itrr
  46. 1 + J:
  47. seu TArr ad 1+ J: rY. ut Y ad 1:
  48. iaque non potest obtineri aequatio ad circulum coordinatarum rectam
  49. gularium, in qua extet rectangulum indetemmuntarum
  50. seu coordinatarum;
  51. haus formioebus cum
  52. in ca
  53. linililis minime pro cognosisnd pro invemendo modo desidetatam ut
  54. ectignem
  55. Conicam obtinendi nihil ad rem facit angmentum aut dimiantio
  56. radicis, utqueni tasuam quadratis invellitum tum quaquam tat
  57. as sol B, 82

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 82r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0163?run=74