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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 333r

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: 0.78.

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The machine reads it as

  1. Nibul sic promo dum magni, tantum nolatae quaedam, vadra furae racnerbires nd faciliores
  2. sit v = Sabrejus et Z= ac - Eju et sit v + Z = X
  3. s
  4. XX= vV +ZZ + 2VZ sed vot Zu ab tac et
  5. 20Z = Y-cc yt + Cegy + cabe. Ergo ex sr sit 4VVZ= abtae x
  6. = cb yu
  7. ergo ex 6 et 7 firt - 4cc 1t +4c e yy (+ aabe) =e
  8. -4cb
  9. totaciliore exemplo sit e = b fint s ut = - 3 bb + 4cb X - aax
  10. seu qy -a 3a bb + 3a bX - X
  11. et CC
  12. 4cc
  13. 4cc
  14. = 2 Sgy ax + L Xyy = F Rdo syxay
  15. yXdys = ys abt E jydus Asa e- e quy dys
  16. ergo datur et syydx = = Y. 3aabb + 3abXX - X
  17. quod si X debunsset esse affirmativa debunsset c esse imaginaria. Et
  18. ila quadratura quaesita sallem per imaginarios obtinebitur.
  19. seneralius v= Sab racus tc yus
  20. hat
  21. Z = a l+ amu . aegu
  22. Sit v+Z= X et XX (= ov + ZZ + 2VZ
  23. h
  24. (5)
  25. et ve+ ZZ=
  26. et 20Z = Labtacy tacyy, alt amus-aeyus
  27. ab Xey = XX = noq.. ab al = aq C+ m = Y
  28. al funus
  29. = eryys ara grgiacgus
  30. aq + ry = xX = 20Z fit - ae 1 a
  31. bess tabus + abl - raquE-m e
  32. posset etiam fieri tam NX = B +Z et fi
  33. quod si c20 et m -0 adeoque r= fial -ae Y -= abery + bl = X 4 - raq XX + aagu
  34. e
  35. Rediuchoemus
  36. q = lab + l + 2bl fit
  37. v = Sab a E 5) q= Lac - 4 93 a= v + Z ef bB + + 2vq u
  38. +Z2 (5)ab + a e= af Ergo ex 4 per 6 fit 4vrZq X- 2afxx + aa H
  39. en
  40. tamper 1 et.
  41. taeeyus
  42. b- (per compend) =
  43. fit eegquse fici t + gaac yy +. D a = ax+ rafxX
  44. a -abe 203 = abb nec sabett a be + d bb + a e - L a be
  45. seu cyy + daa = ad -X + + 2abXX - 2 a bb
  46. -3 aec
  47. =Zaa eb
  48. seu Cyy+ saa = a L. X + 2a f XX - 3 aats b = 51 9; 2 et C- f-9,: 2
  49. b = 5+9, 2
  50. N B
  51. V = Sab + = gy 2 ae- =yy X = v+ Z X = vr e+ 22 + 202
  52. abb L (a vr 22 =)
  53. Fraabe
  54. tanee
  55. NeC gy c 1 seu faciendo b+ e = f et b - e =g. ( Ex Stit
  56. (4 aabe) bcyy
  57. 4cc y + 4 C aggy = - X + 2af XX gg aa adeoque a yy
  58. seu 4 yt + 4C aggy + aagg = - x + 2af XX seu 4c gy +g = X Vras -XX
  59. itaque nihil actum est seit quia a2y = a X ras - xx - ad
  60. Hinc discicuus saltem summari posse yax, uti summari potest X dy.
  61. sit g = 0 prod seu b = e, prodit 2y = a X Y2a5 - xx. sed hoc aliunde
  62. facile sed hoc aliunde facilia, nam faccendo ZZ = ax, fiet
  63. Dy = 2 as (3Z4Z seu ydx = ZZ Y af- S: 47
  64. +c yy dx +ga dx = X + 2af. - xx ax si g = 0 fit
  65. X = Sab + Egy + sab- =gy. Ergo XX - a 12t0
  66. Ergo XX = 2ab +2 faabb - ec yt. quaeritur sxxdus, sed haec pendet ex spyx
  67. sed Xy dx = X = X 12af-XF. Ergo haec pendent ex se invicem
  68. quaritur ergo (x S2X fraG . Xxdx seu 2X ydx XY X traf. x = coco
  69. G1 si X - 7 quaeritur (22a5. 2+ dz. itaque cum B7 esq 3 9a dipendeant ex _furo Circuli
  70. ux
  71. curvasonica Anquod memorabile

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 333r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0661?run=74