Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 298r

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: 0.75.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

One image of two folio pages side by side, registered by the library under both labels (also fol. 299v); this page is its right half.

The machine reads it as

  1. pag. 4
  2. XX + Cx + dd aequ Bto, fuctores suit X - B et ∞ B X - (3) sit X = 9s My + nn, :, ytp
  3. fiet seu si redices X = K OD: 98. subistituendo periliteras siurficando 2e per notas signifieando
  4. radices formularum, et fiat - = KOD= B P8,: 84 et X - (5) = k OD - (2) 88,: Et
  5. 1e
  6. 28
  7. 4
  8. im +mm
  9. In +nn
  10. es
  11. 8
  12. ta per
  13. aegg. 1, 2, 3,
  14. +
  15. habebun
  16. C, +
  17. KOD- (Y) 8 = 22 fiet 8 = (2) 84 =24 - 8G, fiet
  18. G () 2 -Y, 3- (∞) 22 + 8
  19. p et 8. 8 (7
  20. 2 +Z. Ergo
  21. (0D - +7 8G fi XO= 46 91. 8 3 8 218Z. uno 4t8 st in
  22. 1157 2mtn p. fiet pP +E1
  23. sn p = pp + 3
  24. En
  25. + 33.4 =
  26. +Arum
  27. Aun
  28. imin
  29. + nn
  30. EE: 4
  31. m
  32. =0 se
  33. Ergo p = 1453. B3ntu + 2mu - 22 + mAn
  34. =40
  35. ergo duo divisores ipsius yy ite + ry mrn + mm sunt y + 4 55- 5 men + 2ma- 13 + mt uF
  36. An sub issis duobus valoribus
  37. generalibus continentur et
  38. et t XO t L, 1FG _ B - l 9Z- E mon + emu (F G0nan trnrn. 3
  39. duo alteri n- G - 9F. 1, N et D = =, 4+ 1
  40. m +n
  41. quod si sint duae radices aequales, oportet evanestere Arationalem
  42. nec sufficit ut sit extrahibilis
  43. 5- (8) 2Q = 21 4 - 78 tunc simili
  44. Ita puto contingere debere, quia rem generaliter quae sivimus
  45. si pro 10D = 4+ + 8 8 adhibuissemus
  46. instiluta investigatione debuisset irrationalis in radicibus evanescere, ut fieri
  47. possent duae radiles quatres aequales negligendo determinata per quo multiplicantur
  48. Notandum quicunque divisor assumatur, rem eodem redire, seu seu
  49. non differre unam assumtionem ab alia, nisi multiplicatione
  50. per de terminatas.
  51. Ad rcum reddenda faciliora, pt sumper explicando. Tolli ultinus formula Arminus, et ita
  52. pro x AX + Cx + dd potest fieri XX + Cx = quadrato Hinc si X = yy fiet
  53. vy gytc aequ quadrato. Ergo sed melius si fiat X = yy+ Eyp + pp + C = quadrato
  54. as huc melius si l X- hry + eyp. 1 p, 1, y9+ 2y9+49. et fint Fhuyarhyp+hpp -4t
  55. + egy + 3Cg9 + eqq Khy axyru
  56. et fit h y+ p = K gF r = _ c y+ 9 et firt hyrp = _, serk + ytqse
  57. et
  58. 9+p = a, ytr sk - 949sC sit h h = VK + e ve et 1 = k in sC
  59. ergo h = _ K - c et = hr, H + te = et ( = sk = sc
  60. et hip = nesk + (q sC et per = er LK = qse ut hpp = YrK = 99C LC
  61. 1n

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 298r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0595?run=74