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Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 167v

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. 168r); this page is its left half.

The machine reads it as

  1. sx
  2. raX a as
  3. DaX au
  4. sepria Liby - v - Ely - l +H 1 Sray + ay + g. eti
  5. lur A B applicata circuli quaesitis A, appurcata unt sectionis Conicae
  6. datae. g. excessus ipsius A, super B.
  7. Notandam autem si B est applicata circuli, b+ h, aequari ejus radio.
  8. quod ita demonstro: ponatur V +l Z et fiet B,, 2bZ - y0 s
  9. poncndo B r X, habebimus ab7 - Za + h F XY vel 2b3-3 b ∞ X -h b2
  10. Et ponendo Ct + b +Z et I Y, fier v B x 1 be vel
  11. vel 6 Z= 2tZ F b + h X Vel +b +Z5
  12. Ergo b+ h B a.
  13. jam resumta aequatione Be A + g, quadrataque habebimus BF) A + g + 2Ag
  14. vel B A= g r 2A9, et ordinando expereandoque
  15. -.
  16. 2b V + 2bl
  17. Fit
  18. q S ra p)a a Y
  19. 82 +9 man ca)
  20. 1
  21. +9, eran 2a ca, liX et
  22. 2a
  23. 1 N 2A9 vel O5 Dy
  24. +
  25. en
  26. - gu
  27. Et quadrando
  28. ory 2077 -38 7
  29. D
  30. +49aga
  31. san esto data aquatio cubica
  32. in
  33. ap ar a, termines
  34. omres habens completos:, abtollatur ad quadraticam, multiplicando
  35. per incognitam, fietque
  36. qua ut patet terminus ultimus deest. eritus Q5 o. et omnia per Y multiplicata.
  37. deoque per _ 4 tum terminum habebitur g p =aY valor purus ipsius g
  38. b erit si P + l + a per terminum secundum
  39. Sed inde vemueiuu
  40. d a Tocder, quia ut termino tertio valor pujus ipsius d substitiatu
  41. habebitur valor ipsius g bis, quod esse non debet.
  42. Y ul pro
  43. substituamus 9, 4+ l caeteris omnibus retentis.
  44. Sed nec res procedet si ponatur e vatere aliquid quua habet et D nihl b habebitur
  45. exia bis valor absolutus ipsius
  46. Eix frd 1 9r d bBi) = (2y) b e) ragnt rah fas trahys +a sv
  47. y aty. 2a y-
  48. +rat.. 1a 4 0y4 10D4 204y 207y+
  49. r2C.
  50. 318 C
  51. sabugetmr idu lim D.
  52. +62
  53. (496
  54. +49 -+9 G, + 4g
  55. er ninitur er l, ope termnri seaudi
  56. se temmunus aedimus desit er semndus si pro Termino secundo sub sti tuatur
  57. 8 ejus valer n. fit ap0- n - ag
  58. aer 0+gt
  59. 4 ap O - n. 8 - 49 in loun L sit pusito cat c4 - 38. Ergo Laca C n B g2- a9. X 5) ar O andaliola
  60. si abtet baninus altimus valebit Y et 29l e SI. s apD n. B = X AG et nCa B - a 16 - g
  61. aeim
  62. destincto ahobus. g habebitur aeglb + B9I 4Y 3b + 8+o
  63. no
  64. 4b

Cite

Leibniz-Handschriften zur Mathematik LH 35, 12, 2, fol. 167v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068195:0334?run=74