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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 15v

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: 0.84.

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

The machine reads it as

  1. solvi potest aequatio am dx + an dy + py dx - 1 =0 ut constat, ergo et ejus
  2. diferentuntio, quae est aamax tadndus +y lx dp + an dau = 2 =0 ahaec conferatur alteri
  3. 0=3= bexdx tc dx dy + fy dxdx acgdius
  4. + pdx dy
  5. fiat m- sbdxia n = g p = sfax: a C dx adg + pax. Ham aeglationem videamus an praestare
  6. liceat si esset aequatio (b) K dxdx + (C)K dxdy + (f) Ky dulx: a + a(9) Kddu = 5 = 0
  7. et fiet m = sibIKex: a n = (9) K: a p = s(fK dx: a (C)K dx = ( (9) dX + K a6) + sfK dn: a
  8. sit jam equalio data AAxdx + 12Ad Xdv + 12 v axax + 4 aa d lx =0 sit vB 11. 9y +h. Errgo ex
  9. L (ly)
  10. ∞9. 7. hiit I1a lpdx +1Ca 12a L Xdh. + 12Xl axdy + 12l ydx + igaldius Z 0
  11. 12 a dx dh
  12. Bh dx dx
  13. 2. 1a dldus 13(l. a) Vaxax telita
  14. igaa ddh.) est ompendio (dx
  15. 13ay dil
  16. (b(dxdx L (C) dxdy + (f) 9 dxdx: a tag dy o ut aeq. 5
  17. dalys d (l dy + yd1)
  18. ladus + Ealays 4yda
  19. Ergo per aeq. b fit (VlF2. 1 ad) K dx = 144 ld, dk f 14 ad K + al k d14
  20. fiat h=0
  21. + (112 d l B G(k 2 a)
  22. 13 (la) e il
  23. 13a ddl5

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 15v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0030?run=74