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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 8v

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: 0.85.

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The machine reads it as

  1. data, _ Z yylXx +2a 9dy, ss rax: an summari potest, fiat r: a = M: M
  2. Ergo in jydx +2am ydy, bsmaxian in etiam summari potest, et alterutra harum n vel
  3. est arbitraria. sit jam proposita summanda formula C quatio
  4. Vsax+ 2aa Bdes + ap Bx t acquds + aatdx =0. Multiplicetur
  5. p fiat Y = p: a = m:n et multiplicetur tota aequatio per n
  6. fiat v = Cy: a et du= edus + ydejia, et fiet
  7. + Y eeyyax + 2aa ee ydys + 2aa y yde + ap eyax + auqe dys + aatdx
  8. a a
  9. raceyy de
  10. aa
  11. adqy de.
  12. ita
  13. d
  14. Lyyax pVYdx + aq idy + ar ydx + aatdus + aa vdy + aatax =0
  15. da
  16. multiplicetur per Li b sispaxitia, et protuctum dento subtacto aatax, fi b sndxiaa
  17. I. Sndxiaa
  18. aequetur ipsi N (9yy + ahius dx + a a d (ggy +ahius) C
  19. se et fiet pyydx + agydy + ar y dx + aa a dy, f, bsnaxiaa o
  20. Fahnydx
  21. sndx: aa
  22. aayydus raaghydus +aaaydh + ahdy, b
  23. ngyy dx
  24. per ydy fit af q = aag seu f = 2 a9: 9 per dy fit aaf sv = ah seu f = atr: . Ergo
  25. liet g: h = g: 25 F. pdx = n 9dx + aadus seu 2 agp: 9) = n gdx + aadgue
  26. seu aa dg: g = (2 a (p: 4) = n x dx seu n = aa dg l: g) + 2 a sp: 9) dx 3: dx
  27. restat aequatio frdx = hnax F aa dh = _ alisr: a) dx seu n = a : p5) Ax - ccact h(. ti), : dx
  28. Ergo aa log (g: h) = s px (2 a p : 4) = alr. 1)) = aa log (9: 20)
  29. rclatio
  30. quae aequallo ars
  31. ea
  32. in merdx + aande dx + apvdx + aaqdv dto prae si al v = egia
  33. possit, videndum est
  34. alius modus determinandi
  35. atax
  36. Y vedx + 2 aa vd
  37. itfiet meeyg ex + aneegny taapegax + aeqe du + atdx
  38. une yyde
  39. fiat mee dx + anede
  40. +aqy de
  41. aapedx + aequle seu Cadx adde=
  42. aeqe
  43. laciemus ergo ex altera tera determinatione
  44. an ee
  45. seu omelxt agnde = npedx +nqde
  46. sed ita destructo agnde utinque eram scit e
  47. ne aa tognerede
  48. 24m x +aande - noedat nade = aullynaa ede - aloy q C ad de
  49. anqe
  50. sed ita iterum evanescente utrinque de, evanestit et e
  51. Haec igotur via non procedit
  52. my + andy + apdk = 0, sit (m ydx + andys) (smarian + ( p Ls mex an AX)
  53. fit mydx +an dy + apdx, L l. mdx: an
  54. (mgax + sindx) dy + an dy) - ) mdx +
  55. ay bsmax: an + (a p bsmaxian dx) = 0
  56. si an = snax sret = c; res pro cederet
  57. smaxdy
  58. Ptan idys
  59. sincX).
  60. non loret sciliert PCf a dn = M ax
  61. sed odet edq = pedx + gde qui
  62. = M ydx + ady, bs max: auF
  63. n P, mydx +an dy. L Smx: an) = ay b sindx: an
  64. myax + dCy bsmax: aui
  65. sit aequatio pVG + a9y dy M a (mylx + an dy) Q bsindx: an fapy ax tagdu + pyysx t, aquay) a (. s pl: aq
  66. itaque abs si jam sit data itaque
  67. sit a Haec utique est summabilis. videamus an inde confici possit data per arbitrariam p
  68. multiplicata a a selydx + afrdus + ryyax + gr ydy fiet maa bsmex an paa j spa: aq L : e
  69. et a = ap spax: aq sed cum ita tantum adsius quantitates p. 4 et min
  70. u
  71. G
  72. non lires salis facere = aa sedxiaq. sed quia non nisi duae suntae quantitates
  73. aa (b. smdx: an + b ApaX : ag)
  74. artutiariae min et d p. q, non possunt salis facere tribus lequationibus

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 8v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0016?run=74