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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 283r

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: 0.81.

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. 282v); this page is its right half.

The machine reads it as

  1. Reassumamus ergo
  2. o= dzue y + Zdy
  3. U data sit equatio coy + ady + 12ddus = 100, assumatur
  4. L
  5. 100
  6. d dy + vddy S (2
  7. 02) 10Wy = 11 lodys + 13 loddy = 100)
  8. 10 = 43. 10 6) eb Zr du, : 11 Z v: 12
  9. fint 10V 12 dZ et 1Z + ndvZ uV Has duas
  10. aequationes, ut solvamus assumo q c0 + B8 v= 10 + =g
  11. Ex B fiet, 12dao + 128 dr + 12 rdg = 10c0 + 10+ 9 et ex 9 fit 12co t 1XG + 1ndeo + 12td9, 2 d 110 4 1t
  12. 10+8 - 12adeo (15)
  13. ido urq- iadco Ergo ut tollamus _, sit
  14. = (per 13) + 1l0 = 1 at
  15. 1010H - 12 tar = -12rr. 12rd L. ur1
  16. sit t = Pr: a. fiet: 1a Ber - 12 a βrdr = ncarr - 12 aBrer 2 β + 11 a B YY uhisi F r fit (1o HY=
  17. 14C
  18. pondum solutam
  19. =12dr
  20. Et patet
  21. ite idem prodibit, si pro t: r substituatur B, quod est in potestate. Itaque exitus hac via
  22. = 12a rr dB
  23. sed video nihil agi et evanescere r, et d quari per ae quationem
  24. An sic procedemus 10y + 1 dy +12 ddy = 100
  25. non habetur
  26. tantum Ergo opus est ut faciamus 10y + adue summabile
  27. su
  28. fial y = 8V et fiat 10DB + 119do
  29. 11 dgV +c do - c d
  30. Sit - 108 + n d = 10g. + u dy - 13dus
  31. + 13 49
  32. 1)dy = Vdy + dy dy + yddys
  33. 10y + dy
  34. 10 By + 1 β dy + 12 β ddus = 100
  35. posita c constante
  36. 10y + 11dy + 12 ady
  37. sit v- - 12
  38. 10 39 + 1 βdy = - 12 βddy - dys (d (1β) + 100
  39. du ly = v(Z dys: G3 = var + ldv
  40. ep = + 12dp Ce + Mpleo + 12rd9
  41. 10t - 12 d4
  42. 4) = - der
  43. β - 11 + d12
  44. - d ( B) dy erit d(. () 10B = d (n β) = dd (11(3)
  45. sit si esset 10 = d 11
  46. y = B _ Z. fat +0Z + 5 b
  47. vy 2 u dy
  48. 10g c0
  49. + 12p co. + 129deo + 12t de
  50. +12dgc0
  51. c - (2dC = 12V
  52. 12 p + 1rdq - 19, 10t - 12 dr - 12 dp- 109, 12F - 12 dt = 121
  53. deo (12p (12r r12dt - ut) + 10. 129l- 12. 129 dY) des (ert (10t - 12dr) + 12r (nr + 12s= 1. t)
  54. F 12r+idt +uL - 1 2p. + 12d9 - 19
  55. 10t - 12 dr
  56. t12d 124u toque
  57. 1219r + indC et r 1012 ql. n 2 gur
  58. 10 a2 tF - 12. 12 t dr + n. 2er + 12. 12rdt + 11. 12 1F
  59. a
  60. co
  61. unpur ta= p pr ut g 1alus
  62. du = dv b
  63. ddo = dudv b. b sv
  64. dav = audo + ddo
  65. dduo fit v = B N
  66. toa D
  67. a + 12 X
  68. Bco
  69. 12 Agco
  70. 12 d p + c2pdv + tadg =0

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 283r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0561?run=74