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Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 121r

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. videndum ad huc nihil ne fieri possi se termini sint
  2. copositi, ut si sit m + b = p. Videamus quomodo talis aequatio
  3. reducatur ad differentiales fiat m= 9 et fit b = p - 4. Ex aequ. 2
  4. fit n (am: m = saq: q seu ndm: m + du sam:m = dg: 9. Et rursus ex aeg. 3f
  5. dY log. b = dp- d9, p. 9. per aeg. 6 et 5 Tollatur q. Habetur valor ipsius
  6. qui iterum habetur ex 3. etia sine assumta q fiet ex
  7. N (amim = ap - db,: p. b. seu n dm:m + du samim = dp - ab. ,. p. b
  8. Et ita licabit, pergere dum res sit reducta ad
  9. a
  10. sit
  11. ordinarias. sit
  12. it
  13. = p fit Y log. b = Sap: p et Gidr = ap. p. ergo
  14. dp = dr. b log. b. seu de d, b. = ar b log. b
  15. dd. b. = ddr b. log. b + de d. b log. b
  16. Ergo dd. b = log. b b dar + V log. b b ar
  17. dad. b = B Chgb l sadr + B log. b b dr ddr + log. b b. 2 dr dar + logb b dr
  18. seu ddd b = log. b. b dddr + 3 tog B b dr dar + log. b b dr
  19. dddd b = log. b b dddur + 5ogb b dr dddr + 3 log. b b dr duldr F 3lgb b lur, 3l69. b b di dar
  20. Y
  21. +3logue b di dar + log 6 dr b
  22. prosequendus hic calculus ad habendam seriem
  23. M = p. fit n sam :m = R. tog. (ap: p
  24. et R dm: m + dn sam: n = dp: m. adeoque fiet
  25. s d, m. = n. m dm + M sanim dn
  26. sit ri = b
  27. sit n sam im = Y log. b et sum: m:
  28. Y log. b: n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2b, fol. 121r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068198:0241?run=74