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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 124r

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: 0.82.

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

The machine reads it as

  1. mo minim
  2. dideamque an maximum seu optimum
  3. praestantea figurae alia Methodo invenori possint
  4. ext. g. figura latenae propiro pondere gravatae,
  5. seu ut dara longrondo maxime descend ut pal
  6. e
  7. patet seu si suspensa sit catena ex punctis C et CC
  8. debet figura C A (C) esse tatis, ut AG, posito centro gravitalis,
  9. sit AG minima adeoque et ese eo posito arcu nd
  10. erit Cyan n in minima, adebque et D (ydu erit
  11. Undel sequitur sed au licebit dicere
  12. etiam ycta esse minimam non puto nisi addatur
  13. minima quia re.
  14. dato arcu. itaque fiet ydu= minim posito areo
  15. sed is hoc loco est ipsa du. Unde apparet rem ex duob
  16. an iore constantem seu fieret u minim quod seu
  17. non licet. Itaque hoec via non
  18. neque expriuitur curva, uno puncto
  19. dy 0 quod
  20. itaque assumenda puncta duo
  21. et ex his inveniendum ztium ope minimi nempe
  22. procedit,
  23. solum assumta
  24. A
  25. Y - dy 1X 1Y = y,
  26. Sit 1X 2X = B d β = . Vd et 2X 3X = dx - d(3 = eY 2d
  27. d9 +X 3X - di
  28. et idet = d
  29. e
  30. D3V = dy
  31. 1X1 Y = y
  32. 152Y = d3 ( 285G 283Y - dy - d)
  33. X3X =dx
  34. 1X2X = dβ 2(3
  35. 1Y2Y = s(a BdB + dY 47) et
  36. dobet esse
  37. A( y isa 3d ( + d) d) + (y + d) Nax ex + dydy + dB a β + d7, dy - 2dxdB-2lydi
  38. 2Y3Y = S(dx dx + dBd53 = 2 dxd β( F dy ly + a71YL2aydV
  39. +ubi differentiando fret
  40. eu ddB + 2y V ad)
  41. A(a Bd β+ 4)
  42. 1
  43. A F~ + PK
  44. t ML et LR sunt quaesita
  45. dantur Mp et NZ
  46. vaYF R + FL
  47. L ubi L]
  48. 2) + ABddß + Nd) dd)
  49. 0c
  50. CAxex + dBdo = 2AFdB)
  51. cd) laydus ayay -2dgd)
  52. +
  53. ((ABd (B + d β d B3
  54. yas dds3- Bx dd (37
  55. agavadV - dy +dY y
  56. AxdX + dpdB = ELx + B
  57. agnus a)) -2471)
  58. dy = 2d) + dd ax = 262 + dap, hoc substitu
  59. L) adB, day et y
  60. Ay. dx L LV dC,
  61. gu Bd 3 + (9) d (3 d a β (= 24 (3 d (3
  62. endo habetur relatio intera
  63. Ex dx + d βd (3 = 2dX d (3
  64. 2 d β ad ()

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 124r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0247?run=74