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Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 78r

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: 0.81.

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The machine reads it as

  1. generaliter invenimus esse
  2. sit mn = rea (et
  3. bse eydx + aady) = a seex
  4. s
  5. investigetur data sit jam formula
  6. ap ydx tagdu Argydx + sydy, ea
  7. sd
  8. multiplicetur per fb poductum debet aequari
  9. ipsi (9yy + hy) dx +(dg Hy + 2gydythlys + ydh)
  10. multiplicato per b sixi Y
  11. et res co tantum redit, ut faciamus dala
  12. esse compositam ex dua esse Odx t hdB, posito
  13. D =9gy+ hys
  14. ggydx + 2gl ydy + Ihdys +hydx ~
  15. Ilgy d9s
  16. aaly dh
  17. frygdx ta fydu +aafadus + apsydx.
  18. 5= 2agl: fa = Ih: 9 fit h: 9 = : q seu
  19. h = 20g:9 ob ultimum terminum fit
  20. X 9, + 1 ~ dg + 194 = f 2p Lgex seu
  21. si l= (p 9E~ dg - 9d
  22. ba
  23. (= 259 x: EgA 289dX - dg - 9 dae
  24. ac
  25. aa
  26. seul hatetur per notas dg: 9 Rursus ob terminum ss
  27. fit agdx tadi (pot) 4,
  28. aglx + (a dgs - 29) (V1) x
  29. c
  30. unde habetu
  31. tandem dg
  32. :9
  33. 2PIX - 2 9- d 2 Inasut
  34. aa
  35. laxias
  36. per ly + am, et fiet:
  37. gy1 glgu + aflydy + ans mdlus + am
  38. angyux+ aaemdu bsan
  39. quod equandam iato multiplicato pes h, bs in
  40. datae oh gydx tah aydys +. hapys dxt haa quy, b
  41. fit h = glia et Ngl = af, seu g - afrro, et
  42. apq et 5vgl = afl seu 9 - af: V
  43. et a glp = amgs, fit l= am: p
  44. et h= aa fm: aPV = afm: pN.
  45. ande tandem _ h9= fm, seu _ m: pV = fmr
  46. s ita evanescit sa, sed habetur f- Po: q
  47. ita h= a pa m. 49 Et fit aq = prs in
  48. Haec ejus via limitaam est, sed prior successit
  49. qu maximi momenti foret, si calculus foret
  50. saccuratus, ita etum absolatae essent diffe-
  51. ationale shonales simplices u quabus
  52. ffectio sipsius incognitae alteratrius non assegnt
  53. ultra rectangulum seu intra ydy vel do gy ix
  54. si dydus concyrreret differentia non foret rationatus
  55. Rresumnum calculum sit aequatio differenturis ntiualis
  56. prim gratus rationans, non ultra dectangulum affectiom sascendens
  57. agyax + quy dy + apyax + aaqdus nax, multiplicetur per
  58. hbacs a produchio aequetur ipsi quax rutau bso
  59. t aer 3t an sas af) aaia d.
  60. ine ahagl sum hc alia Al. hos = gla. a ti = a5. a .
  61. suet= Api a, fit l = am. P

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 2c, fol. 78r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068199:0155?run=74