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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 175v

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.

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The machine reads it as

  1. quotres xX: aa, vel x3: a, etc. rationaliter sine p haberi
  2. potest, emper poni Notest = vab is vator multi plicatus per dx
  3. vel dy si placet, aequalis constanti, et torluntur simul X et a
  4. sed si reperire oporteat, proveniat XX. X - (dg , 1) an
  5. aa
  6. tunc quoque licebit id multiplicare per dx, et ponere =0 constantiz
  7. nec video quid sohibeat. Si tamen liceret, possemus praeparare
  8. et
  9. valorem. Exgr dy = dx Saa + bx + xx
  10. .possumus saltem
  11. invenire valor teminum in que absit xeta, seu qui
  12. sit
  13. occ + ex + Xx
  14. x; 1) quem ponemus aequalem constanti, et procedemus
  15. ut aute.
  16. aydy: apdx dy. X = aa + BXX, : , aa + CXX. Addatur utrobique - b.c etfiet
  17. dydy dxdx (b.C) ) aa(t bxX = aabic (= b xX)
  18. aa +CXX
  19. aa ,1 - b: c sit = ae et b: c= β
  20. et fiet dxdx
  21. (4) a + CXX
  22. dydus-dxl esica e aae
  23. dudx ( (dy -Bd) a + (ay- BdX) CxX sit ja m clynoy y Bax) cxX deo
  24. aa
  25. aac
  26. enstana
  27. axax
  28. dy+dx conc et fret differentianto aequationem S, fiet
  29. (dy + BdX) Etx Ax B. dx Ax ddus _ dxdx ddx = (daq . - (3 ddx ) qu (dy + dx B), a: e
  30. 2 dy axddX + 2 (3 AxAXdax = dx Ixady = dydy (a: C) ddy +d X dx (: C) ddy + 2d Xdys 2. C) ddy
  31. seu omnia explicate scribendo
  32. edxaxdax - ayuy (3 daxa: C - ( d xdoq ddx - 2 dx duy BBa: C) ddx
  33. gdxdx ddx + 2F dydx ddx + gdus (Ba: C) dydys dux = f. d fx ddy + fa: C) dy a (iai e) dx dy ddy M a:. ) lyay illy
  34. sit r PBa: C = f. a2β- 1 + 3 = g. a, et fiet
  35. seu ddy: dex odxdx + 2f dydx + (3a: C) dydys,: fdxdx + 2 B1a: C) dxdy + (a. C) dys dy
  36. a
  37. sit ipsi slu, dax, dx, dus proportionales sumamus dv, dz, Z V,
  38. fiet du: dz ~ 927 + 2f42v + (B a : C) vV, :, f2Z + 2B: C) v + (a. C) vV, seu
  39. (14 dt C
  40. ad-
  41. jam
  42. dv: dy 9 tise + Ba vo R,:, f + 2B a + aa v2.
  43. (_(v.Z): do - _. sit ~ = , fiet
  44. et per 11 et 13, firt du: dz 9 + 2ft + B H,:, f + 2Bt + Ergo erit
  45. a2
  46. a de - t = ag + 2ftB + BH: e fD = 2βH _ - 1: e: + 2B+ : eC
  47. ae2
  48. e
  49. 12
  50. ea
  51. =B
  52. = (per 3) a + ac
  53. quod per compendium vocetur R: aet fiet ex aequ. 14. fiet
  54. Nac
  55. a
  56. ac
  57. 243, e
  58. ee
  59. 1Z.Z - Sat, f+ 2st. a + H. e,., ag + ft +At. a - t e
  60. e

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 175v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0350?run=74