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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 10r

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.

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. 9v); this page is its right half.

The machine reads it as

  1. e
  2. quae quidem aequatio omnium Quadatiiarum ducctum in cognitatum maxime
  3. completa est
  4. +(Gh..
  5. adhibeatur alia ei similis atidem factit ia per Bmullisa
  6. calu
  7. (h yX + aC X (b t y DC X ab _( y = e+ B
  8. ab
  9. + a Xβ.. + A hB..
  10. ul
  11. LBe
  12. Na duae aequationes intelligantur junctae, constituentque aequationem
  13. in duas reselubilem, omnium compositissimam; conferendam
  14. datae Numericae propositae Quadraticae completae.
  15. per f9 + aC3 multiplicatae nempe
  16. F9 X f m Xy 1 sn 1s8 pX 15Y qu +s
  17. ra(
  18. 1aβ
  19. 13
  20. . . . + aβ
  21. as
  22. Conferanus, fiet 7l + f9Y , f9m + a m
  23. Term. Sec. YX, YI + f9Y + Bhl + Cab fm + aβl.
  24. Ten. 3lius y
  25. Term. Atus X
  26. Term. Sty y
  27. 9c7 + Bbh fan + aBn
  28. +aβ..
  29. cYl 15dY + DBl a_ B SF + a βP
  30. geY +dY + bDβ + AhB, fgb + a β4
  31. brn Hongenes itmch. edV + B A β - + fVY + aBY
  32. Ex VX, fiet C⊓ sm + aBY- f9Y = B til - Bab
  33. hp
  34. SVn + a Pn = gc7 e pucta vafier
  35. m
  36. hej SVIn a Bn1 - 9VGm -9aB L49. 7) i)Bab
  37. N1βb - 9YB1
  38. e H fY P + aB p - fdY - Oβ1 - a)β
  39. Ah B
  40. dA - gV p)- gVaBp + g35d 9) oel eg )alB- bep ) l a f dltaeus
  41. cg c9l + fV 9l
  42. Nam explimi h neque
  43. tinetur d, neque per consequens e.
  44. ExHtomogene qui restat potes collatitia aequatio, haberi potest pur valor simple
  45. f cujus libet literae incognitae, quae reperitur in ipso neque reperitur in denominalore
  46. ipsius h, vel ipsius e, vel ipsius d. qualis est . vel A. vel a.
  47. Una ergo ex illis eligatur v.g. B. Reliquae jam indeterminatae
  48. Atque ita absolvimus omnia meris aequationibus simplicibus, qua sin numeris exequi licet
  49. Reliquas incognnitas, a. b. f. BR. V. 9 assumere licet pro arbitrio unde eas partim nihilo.
  50. pertam punero dato, partum altei inegruto aequaes facentus puoant postilabit seateuli
  51. X
  52. Non explicui h, quia in eo non con–
  53. (x

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 10r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0019?run=73