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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 211v

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: 0.69.

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The machine reads it as

  1. sit aequalio X + px + etc = O
  2. abs
  3. sit quadratur ex +Ex+ ese
  4. D, et DD= B+ 3) exralubilis quahatiae go=
  5. C.
  6. aequ quiaddatur utrobique fit O + N = quadrato G fiet
  7. =tt
  8. ergo est C productum ex Z+D in F-). itaque res eodem redit, ac siquaerati
  9. ( productum ex duabus aequationibus gradus 3Hi
  10. si culica extractio quaeratur, reducitur res ad productionem ex duibus
  11. aequationibus una gradus quarti, altera idi. Nam sit exx+ Extg
  12. )
  13. + 73.
  14. , sed C + 7 debet esse extrahibilis Cabice
  15. ergo fit C) + 93= F, et O = t 3- ). Ergo C productu extiti +GD+)
  16. C
  17. = D, fiet
  18. in + D ti - D. Ergo perinde est ac si fficiendu sit ut possit
  19. Qoidi per Fr-). quae est aequatio 2di gradus.
  20. si quaeratur ut FC sit divilibilis peraequationem edi gradus aiscendetur
  21. in quaerenda altima tucognita ad aequationem 15 gradus, quia sex
  22. radicum in aeq. bti gradus possunt institui combinationes 15.
  23. sin quae ratur ut sit divisibilis per aequationem estii gradus ascendetu
  24. ad aequationem graduum 20, quia sex radicum sunt 20 terniones.
  25. u.
  26. 1S. biniomes 15
  27. 54. temines 20
  28. Cert dgd sib - gq (soct (i) absib = dkS14t + vo (BBBnoc Certaque BH Stit, H(Ssodb r gesAt D _ I = (odt sevrs) AtiB
  29. 9Ct Certaque no V. cet) Sad dem. (Sor +dd de + lent dus) us b = (eet prcit ba
  30. 3
  31. qa
  32. S(sat nS+ (5D+ AA) p. C
  33. t
  34. dinguosua sovgna une rat
  35. nb sid (O +6d, V +Rsvo= linSt ( =, tb it sibsst (uv sB
  36. Hotonont
  37. ISe = f +d n su: c(su + B12- A
  38. esse eeror 7. sot: su - 4)52 + X1) +t
  39. e
  40. no siv: jyso +Yy) G9D evi +) Vuso- ygn dy so = f yf + HHm = Yet 1 y, t Ysu 41 yfit
  41. q
  42. +sy - 5 = v: C7v = d) +
  43. so Si
  44. 0045tHeuot
  45. t
  46. In hopysu sio 3H + 9) Y) s q. Cos s + ys = P. v) + et = et etqu 5: j5 - 3 = 3d 9 15)
  47. etaque
  48. A
  49. (Be
  50. t0
  51. quo
  52. Ho
  53. usr+
  54. secysent seet
  55. 7: S +3 = v: ) 3 +y qu S: H X7 = v. 33 - gy = g
  56. Vo est rmga ed erctio Bunus
  57. it 3F). (B2Fdq ab = eet D +bq 1 L H3 Cf5 +59 Dp. 502 +).) =H, +h (33tqu) s 2: 682 + d9 =4
  58. (H + 4) p B, _ (34+ 2 = ( mul. Xd. yu tucur prnt 6. et v adt rA iud 18
  59. ’et do
  60. a
  61. 21N
  62. v)ut
  63. 3 -9y = qu qun 4X - B 5 1) qu
  64. yg = 33t qu 4 p, (f + (9 Cnt q) pE. 1 for + 19C ec + dqe c et de + (H+Sq C33 + qu) p2 = de2+ for + a7
  65. p (e+ 4+ (3t5,S. BdC +79) ab = d0 + ser, +si

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 211v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0418?run=74