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Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 17v

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: 0.90.

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. 20r); this page is its left half.

The machine reads it as

  1. per duo data puncta
  2. per tria data puncta
  3. a geometricis, rectam ducere, (circulum
  4. angulum in duas partes secare
  5. describere, circulum tangere resecare
  6. ex puncto dato ducta
  7. tametsi circulum recta tangere vel
  8. circulo, aut secare tangere; tres
  9. anumera
  10. aliaque id genus quae per miras ambages
  11. algebra exprimit. Unum exemplum
  12. dabo, sit problema Data basi AB
  13. altitudine B et angulo, verticis cinvenire
  14. scilicet
  15. triamgutum. (qui aequalis esse debet
  16. angulo dato C) invenire triangulum
  17. ABC. Hoc per algebram ita
  18. quaeremus. Ex puncto C. quod pro
  19. invento quaesito demissa intelligatur
  20. per pendicularis CFxi cujus datur longitudo
  21. occurret autem basi alicubi in F. eru sit BA aqu . Bd aequ. d.
  22. sit BF aequ y BF aequ X FA equ Z
  23. CB aequ. m. C A equo n.
  24. erit F x =Z aequ. b. Ergs + Z + 2xZ equ b2
  25. (4.)
  26. m d aequ. d. R= Z aequ. d2
  27. Ergo per 3 et 4 eril vi + n aequ.
  28. Ergo m- r aequ. X= Z
  29. per 314.
  30. jam Fx FZ in Fx +Z aegu.
  31. seu +bx f b7
  32. C67
  33. aequ. N -
  34. Ergo +x + AZ aqu - n
  35. 8)
  36. sine FX asu. + n n 4 b
  37. et =27 lequ+ n f - b
  38. Habemus ergo X et Z. restat inveniamus
  39. m et n. Quod sut fian ex A in CB
  40. (si opus productam) demittatur perpendicularis
  41. AG AG, erA quam vocabimus v.
  42. erit AG in CB, (seu vm) aegu DB in BA seu bd)
  43. ergo V aequ. bd. potendoque
  44. n
  45. BG sesse 9 et CG esse r.
  46. patet et(+)9 (r aequl m
  47. Patet eodem modo inveniri debere, 9cL Y
  48. ex b. n ed m, quo inventa sunt
  49. 4)Y ex m. b. n. b
  50. quo inventa sunt
  51. X. Z ex b _. n. d
  52. Ergo (=) 29 aequ b. n
  53. vel cF

Cite

Leibniz-Handschriften zur Mathematik LH 35, 1, 11, fol. 17v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 39). https://leibnizlegible.com/page/00067970:0034?run=39