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Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 288v

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: 0.76.

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. 287r); this page is its left half.

The machine reads it as

  1. Nimirum ob do Tuangula siniim DGY, et YX P, paleo esse
  2. jam PY + DZ r
  3. PFa
  4. 17 Sd p seu 3-y
  5. LLny.
  6. . Jam PYV
  7. A XY~ + X1
  8. et X P a + a x vel rectius DYro Gxtisir jam
  9. D
  10. et Se S. + 25X +X A F adaF
  11. +t
  12. FPnfexta fax
  13. item d-7 _
  14. Eex supriori analogia: Sy e alisi autem hubuimus duy vel duy
  15. S+2
  16. 5+x ra + x
  17. fex 1t Sextatax
  18. t multiplicando utrobique per crucem, fiet
  19. +x M a +X
  20. illic: (de (+ Xd) + ad + a xd - yf - yX = ay + a yx (= d5 = dX) 1
  21. dovniam ergo nulla apparet ratio tollendi s, ita ut circlu duo loca statum oriantur
  22. alter ad civalum alter ad sectionem conicamdatam; ideoque ab aequatione in venta auferamus
  23. signum radicale, fietque 8d ax Y A 4d a XV d + rax + aX + f + 2fX + X - s B
  24. et pro + f = 5 ponendo P ta hobebimus quadratum + 2aX + a X + afX + ta,
  25. quaeremdamo, est, e et varsus contrahamus, pro +2a + 2f, ponemus 2 pb. et pro
  26. a + 1, ponemus fi et quarendum quadratum hujus quantitatis:
  27. 2. Lx + V X +ta +bX + ta, et quadrando X YbX + 2γLX
  28. qc
  29. 2ba perpenult
  30. aba
  31. sive sta - b + ) - rec +ha ergo hoc B ec - 2ha
  32. dl. o 2Ve
  33. acr
  34. ex renie
  35. 2ba
  36. ha .
  37. et proc sulstituerdo ejus valoren; ad difficles ilerumqvationes assurgemus; rectus ergo o pinor
  38. sic termino X, utrobique subscribemus. o poterinus caetera velut similia etiamnum comporam
  39. nam si similia tractentur similiter maneur similia: atque ita etia in ex imcognotis aliquam
  40. ..
  41. u e
  42. exteminis
  43. ab habebium super numerariamii cta conferendo ponerdoque n, ex serminis atis
  44. +c- 2YC p b sive c52
  45. e+2Yb
  46. et C 2bta + 2Cha
  47. la
  48. ergo e + aV b ps ltotra 2ba lsta adta fiet,
  49. Exterminis 3tii 5
  50. ae + 2Vbe 2b stra + atia item aecha +b V e -rec + tra
  51. a et proti, subsituendo, fiet equatio pior e LC +2A6S +AS
  52. et postrior: AVed ip e rect
  53. et utrobius tolle ado: signa poperais aeq
  54. Erquex poperini abd ad ei naet = VEd b, pu 1 Dev + C. Elgo b ess
  55. eErgo C n -bra
  56. iyt
  57. ponatur dacta BX + CX r ha, fiet: aequatio factitia ) X - 1VCX 2+ Y S X + C X e) Aequatio factitia. V + 26DD + 26YV
  58. c- 2V e 1 . Y b. per Terr. 2. et +1 e tha patem. alt. + c .n - rec .. -ueta.
  59. s
  60. a

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 1, fol. 288v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068194:0576?run=74