Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 396 · Hermann, fol. 23v

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: 0.75.

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. 24r); this page is its left half.

The machine reads it as

  1. Ballierio ICto tradidi, qui beati nostri Profesiorii manibus parentabit.
  2. Quatuor aut quinque jum sunt sextimanc ex quo Cl. noster Joh. Bornoulli
  3. cum uxore et liberis incolumis huc appulit. Vacans Professio Mathematum a
  4. Tari
  5. Senatu nostro Academico perhonorifice fuit oblata, et ab Ampl. Mayistratu
  6. aucto ipri Salario profehiorali confirmata, qui honor exceptir Buxtorfici nonnulle
  7. ad alias Universitates quoque vocatis, nulli hactenus Profehorum notrorum contigit.
  8. ante aliquot dies me eum invisentem roguoit ut Ampl. Tuue plurimam salute
  9. suo nomine impertirem et in quoque epiitolum à el. Mogoruo Londino ad eum data
  10. mihi perlegendam tradidit, quae multa continebat mathematica; et inter alia
  11. Solutionem suam satis prolixam attulit Problematii a Cl. Joh. Bernoulli alim
  12. in Actii propositi, de invenienda Curva tali, ut portio axis intercepta inton
  13. tangentem aliquam sit ad iniam illam fangentem in data ratione madi.
  14. Subiit chiniumaliam et moyoriana faciliorem quaera solutionem, et puto rem
  15. ex voto mihi succesisse, verum Tuum et Vir Amplissne de ca judicure.
  16. C
  17. EC Sit itaque Cunva AGC ea quae quaritur, cajuraxis AB; ap.
  18. plicata CB, tangens CR; jam pono CB. = X= yya Subtangs.
  19. BB = 2Xy eritque tangens CD = + yy et ex hynotheci
  20. AD = mXX mys abscessa vero AB = m L myu + 2Xy. tales
  21. vero suppositionet ea imprimis consilie instituo, ut calculus
  22. sigras radicaliblet non implicetur, quibus positis, erit
  23. dx 2ydys
  24. G6 0
  25. enie
  26. 2, Xdx + glly + 2,y dx + Xdys
  27. xdrs dn xdx dy ydx + Xds
  28. X-77
  29. Magus
  30. 2x7
  31. y
  32. 5
  33. 2X - 77C
  34. CB. AB
  35. :: X -yy. 2Xy; hincus habebimus
  36. vel transxonendo ydx +xdis
  37. ixy et devidendo per xx+ gy, erit, ydx -xdy
  38. Lax- Lay
  39. x = 2
  40. 2X
  41. ad altera partem, siet
  42. pdr-xay (Xydx -Xyydy + y dx Xdy) m 2dx + ydy vel multiplicando ulique per
  43. axy
  44. n s
  45. Xdx- Lde
  46. X + y ergo
  47. X
  48. 6
  49. egy
  50. idx tay.
  51. 2 y
  52. 24
  53. m, xx+ ydus; verum
  54. X+ yy
  55. L2dy = m, xux + ydus
  56. + Y.
  57. N+ yg
  58. = yy
  59. Unde sequitum
  60. 2dg. L - y = = log. XF y = m, Log; X + gy vel Log. X - y - Lg. XFy = Log. F yy, ergo
  61. +-y
  62. X+7
  63. 100 3 C
  64. yy aut ut l’ex homigeneorum servetur à
  65. ++y
  66. x+gy
  67. e
  68. E.t.
  69. Quantum ad methodum in eam attinet, qua curvam analyticam per quotlibet
  70. data puncea duio, lubet eam hic pauci exponere omisto tam en calculo nimit

Cite

LBr. 396 · Hermann, fol. 23v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 310). https://leibnizlegible.com/page/DE-611-HS-973581:0046?run=310