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Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 9v

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. 10r); this page is its left half.

The machine reads it as

  1. Huic malo remedium quaeremque non ineligans ut aprior
  2. esto aequatio:
  3. X + 2b X + 2by = y p0 fiet t X+ b p y - b
  4. Essto alia aequato: X + dX + 2ab = ay f0
  5. Ita tot quot ante qu habentur literae
  6. sive y B X +2b
  7. fiet y p X + dX F 2ab
  8. s at + X ade Xp a- d
  9. ap Ergo Xei sas d +2
  10. b. d. a. c et ut jam sequetur (. V. nec tamen ulla ex illis ascendet
  11. ad quadratum, collatio ergo haud dubie procedet
  12. Aequationes Multiplicatae: BX + 2 BbX + 2βby = By 1.
  13. Xx :+ VDX + 2lab - lay 10
  14. Aequatio composita s+ β X + yt p + 2pblX p+ 2 Cb V + 2alY
  15. +V
  16. 217d. quilibu B
  17. P
  18. Va.
  19. Ponanu Pri X A pa. et d y da. fiet
  20. ec
  21. Aequatio composita correcta a) illu y B2 Mb X pa 2x b a + 2bl
  22. n
  23. 15. h- Nr..
  24. Ol( Ma)
  25. sed quia res eodem videtur cum tantum pro a successernit D, aliumque in
  26. composisam
  27. locum sit translata ideo Aequationem . qualis oblata ent con
  28. feramus datae: m X + y + nX e Pγ + gl ⊓o
  29. erit incipiendo ab ultimo, rabl, q et _ B, 2abV
  30. peull 2Pb- la p p1 sive 2at. - aq , P. Ergo V bl
  31. =29b
  32. 4b= 9l
  33. anterenult. 23b +Yd n. Ergo 2ab -plit5 l + Yd 191
  34. N
  35. cab
  36. -c 2 ab7
  37. Ex his salis colligo sic quidem exitum non haberi
  38. An ergo sic: X + 2b+ multiplicetur per DX + f fiet:
  39. X + 2b8x + rx + f Xt + 2bf+ f
  40. la
  41. et y H X + 2b +r, fiet
  42. X 3X , fy al.
  43. s
  44. S c. (Dd
  45. ABh 8. A. B
  46. Aequationum ergo una: X + 2bX + 27X + fX + 2b f + fr - yao
  47. et X + 2bX + 2by = y + Y _+ 2Yy ∞ Y unde + 2rb po
  48. Uende X + b Y y - b - r, sive y p, X + 2b + Y.
  49. Multiplicetur prior per (3, pt posterior per V., et fier aequatio compos
  50. Aequatio composita
  51. sed antequam eam explicemus videndum est an duas
  52. adhibere liccat aequaliones, in quarum qualibet utraque incognitarum assurgat ad
  53. quadratum: posterior esse intelligatur factum ex X + d dpr CY + ex +f X
  54. fiet.
  55. , et yX + F. X + cy + X 14) + ed Ho
  56. +Ad
  57. 1
  58. it
  59. risi

Cite

Leibniz-Handschriften zur Mathematik LH 35, 4, 1, fol. 9v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 73). https://leibnizlegible.com/page/00067996:0018?run=73