Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 166v

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: 0.87.

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

The machine reads it as

  1. aadu = Xx dx + yy dy sit y = a O: X = a D: 8 dy = a, 7 d0- 0 d E: 98
  2. proestat sic
  3. et dx = a, E d D - Dd4,: 88 et dy: dx = 9dD- ∞d:, pdD - Dde, unde tandem
  4. fiet (3+0- 099d _ aC a 79 auo Cvata
  5. N = 004 dv - 10Dd8 + na DD8dD - aa D DDde
  6. si sit X g= O et _ si esset _ = B 0+96: a et X = D 196: a
  7. fet Ly = dC) 195 + 0 d46): 2196 = 285d0) + d d (28) S.: 2296
  8. et ex similiter ponendo D pro O et dy: dx = 296d0 +0d(46), : 296D+ d (26)
  9. et yy: aa = 0096: a et XX : aa = DD86: a+ sed itaassurgetur ad gradum 6.
  10. Retineamus ergo aqu. in qua assurgitur ad gradum 3tium, si O, d, et e sint
  11. simplices secundum; et V, Erunt tollendi gradus primus ubi aegq 2, 2dus, ubi 4
  12. gradus prums ubi aequs duae, secundus ubi primus abi aequs quatuor, secundus
  13. id est literae 12 et opus est arbitrariis 12. sed nobis
  14. ubi, aequationes sex.
  15. pp significat. 22 + . 2u +. YB, et ila de caeteris
  16. sit formula + aZ + an dv + 7opdZ + 2349 av + 50 redz +2 45e do
  17. tantum adsunt
  18. 310 d Z + 302d
  19. sit alia formula t 410 sdz + a + a~ (3dZ + 4e )dv + 43 Cdd Z + A03
  20. 20cd
  21. quae multiplicetur per t t, et productum comparetur priore,
  22. fiet 31020 et 302=0 et 410t = m et 401 t =n ergo m, et habere debent
  23. et L5d = +3 et tBB =5
  24. habentur, de ideo oportet ipsas, omnes esse divisitulies per t. Sed
  25. rationem constantem, +β = pp et bs
  26. optimum erit formulam exprimere per omnes radices quibus producitur
  27. nihil lucrpbimur opinor hac arte
  28. si O et dy = et fiet Tady = OdG + dC et ay =
  29. ut formullam tertii gradu per C.
  30. sit ay = 03 et ax = 46 it ady = Od3 +Dd0 et adx = t dG + 8dti
  31. et dy. dx fo, aa dy = p yy dx + xxdx siet a0 dD + a DdB = E h ma) de 19 d dia
  32. sed ita assurgitur ad gradum stum

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 166v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0332?run=74