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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 164r

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: 0.80.

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The machine reads it as

  1. Hac calculum pulchre comfirent, nova tamen, non docent
  2. 1) b = y s rK ponatur (2do) logb = 0. Ergo ex, 1 per 2 fiet
  3. b 1 g
  4. 6t0
  5. (3tio) X = log y. indeu dx = dy.y seu ydx= dy. Ergo per f1. fit dy send. b. = b dx
  6. sen (et to)
  7. Ergo (6t0) Ergo Sb d = b. jam quaeramus (bidZu posito dani relationem inter Z et X
  8. 7mo ) d (b2∞) = (moer 5) bX de + v. V= dx. Ergo vicevera: (. b (vdx +d0) (8V0) l V
  9. per
  10. =y fit Xloge = log y. sente dx dx log c: = dy. y seu d C. = logc. C dx
  11. si jm ergo quaeratur sb dque, tantum fiat (gno) ∞ (b (dx + du), seu fiat
  12. quaeratur V, ut siti nos vdx + du = dZue posito qe dari ex dx. sed haec aequatio
  13. (1mo)
  14. ex 10 fiet v dx + do = Fdx seu _ du: dx = + - v fiat log io = - x, et fiet
  15. imae
  16. le
  17. (16) 1
  18. S = W (dz: W. Ergo fit S. B dzu = b qV saz: W posito logu= -
  19. Eaqu ergo SBdZ= P. b b= aZ quod est denticum
  20. seu
  21. idem en
  22. nec prodest;
  23. (450) v = W sdx t: W
  24. Unde etsauli porro quaeramus k SZ (Zdque a sit (1) q = v. et extatendo utrobus
  25. seu W = B I: B= =
  26. radicem secundum exponentem, log.y, fet edo)q co. ltog. = sulogu seist d ti logis = b.
  27. posto lg (4to) log. b =1. Nam (sto) log. (y:ogy) = log. y: log y = 1. Ergo ex 2
  28. per 3 fiet (660 co: logg
  29. autem sudque, vid ad aeq. 1.. Habebitur ergo si habeatur (Zdy, seu s blogy: c dy. Et
  30. per 16 calculi praecedentis fiet (idus seu ( Jlog.y rco, (800) log.s. cd v. (ay: W posito logto= - logys. c0
  31. dy
  32. jam (10no) (B syaque - i y7- szdu. ut constat generaliter
  33. vuc
  34. seu (gnopem W = y- J:c0
  35. nisi quod aliquando signa sant mutanda) et faero
  36. e
  37. 9o
  38. coto
  39. Ceu(to sm W0 = log et C1: 2. Ergo sit sydque = yZ-
  40. .(14 4o)
  41. C 2)
  42. Ergo ex aeg. 8
  43. 1
  44. drBtius
  45. o = b quod jam
  46. fiet per 2 et 13 fiet s2dy = ( d2 . 2) 5Zdy seu 2
  47. constat, verissimus ergo est calculus, sed ultimum quaesitum obtinere.
  48. non licet, et vi video sane id fore nimium e republica analytica petere.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 164r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0325?run=74