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Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 37r

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.

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. 32v); this page is its right half.

The machine reads it as

  1. SILLET A ROOT 17I4.
  2. 32G
  3. Tiis praemissis, ex relatione inter XES 2 ad arbi-
  4. erium assumpea, quaero y isto; quem sequentem vi-
  5. des, modo.
  6. Pro lubita sumatur 2 X = = 2, sive = X = = 2L.
  7. Tum X + O (A B) prO X, C5 2 + O Y (A EB)
  8. pro 2 subctituris, prodibit = in X3 + 3X0 + 320
  9. ut O
  10. Cex natura Curvae) 2 + 22OV t
  11. OV. Ft sublatis (3X3 (522) equalibus, re-
  12. liquisque per O divisis, restat = in 3X = 3 XO
  13. 1 O2 = = 22. V e Ov. Si jam suppones BB in
  14. infinitum diminui (s, evanescere, sive 0 esse ni-
  15. hil, erunt V Cs Y aequales, (s termini per omul-
  16. riplicati evanescent; quare restabit= X 3 X X =
  17. y
  18. CZY, Sive Z
  19. Duare e contra si X. = = 5
  20. 2LV, sive = ZX (:
  21. DEMONSTRATIO.
  22. Vel generaliter, Si
  23. ve ponendo
  24. 12
  25. M
  26. mLn
  27. B L BX aZ n. = - 2; si-
  28. M + p C, C M + n = = P
  29. c
  30. Si
  31. CX a = = 2, SivC CNXP = = 2 0. Tum X O pro
  32. X, C92. = OV (sive, quod perinde est, 2 + Oy
  33. pron substitatis, prodit C= in XP nt POZP = 2 eC.
  34. 2+ nOy2_C. reliquis nempe terminis,
  35. qui tandem evanescerent, omissis. Jam sublatis
  36. n Xe e 2 aequalibus, reliquisque per Odivisis, re-
  37. Atac

Cite

Leibniz-Handschriften zur Mathematik LH 35, 15, 2, fol. 37r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068204:0077?run=74