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Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 188v

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: 0.83.

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. 189r); this page is its left half.

The machine reads it as

  1. Aliter pro curva Conica
  2. Zaequ
  3. dato
  4. s
  5. r4b, seu Y
  6. + b yy
  7. 1+mgy stramg +bmy Y. 0..
  8. et f
  9. ltmus C Y. .
  10. ee
  11. +bl..
  12. 5G et gy nam exhis por
  13. datur
  14. C
  15. nam ex duobus posterioribus certo modo in unum additis fit poris
  16. datur autem ex Conicis. Superest ergo
  17. Ntamusus
  18. aeqo d0.
  19. 10
  20. nitio
  21. dideanu an formulam datam y + by + cy4 et +f possimus efficere mnchilhice
  22. (+ mgus
  23. quadinti y +El y + H, habenus tres arbihurias, et quatuor terminos ergo res procedet
  24. y + my + n
  25. si modo pro Y vatae a quationiis ad hibeamus
  26. y X+ K. sed in formulis smulli plicandis simplicter
  27. Atque ita pulcherrime deprimetnus ad inferiorem. nam extrahendo mulliplice
  28. sro y scrbemus X.
  29. llan restabit solum XX eu, et quando sola ex est sub vinculo facile
  30. denique nova explicatione habebitur extrahibilitas. Ego Et hoc est via
  31. compendiosissima promittitus aciquid etiam pro altionbus
  32. y X
  33. Nam sit quaelibet ulia
  34. 2 a + by + cyy + dy + e y +fet. y
  35. multiplicetur gy +Ely +l per v + my et. adeoque habebuntur arbitrariae
  36. novem sed cm ojus sit arbitrariis decem, tantum explicetur y per XtR
  37. et habentur proderem comparationibus derem arbitrariae, (F depressimus
  38. usque ad. X. Sed cum X eodem modo procedendo deprimemus ad
  39. et ita porro sed hoc miti suspectissimum. Sicpe enim orietur aequalix
  40. non imaginarna sed absolute impossibilis licet arbitariae sunt
  41. Sy t sufficientes
  42. y FElyal
  43. B
  44. G + b
  45. pArsu XH gaego X + e. Grburego X +4CX +60x 4ex +E
  46. getuus n
  47. x + 2 IX +B
  48. X + m X + n
  49. +nXX + daX Ln
  50. +mX3 uulmx + ln X
  51. LX + 2l∞ + I X
  52. X +4ex +6C XX +
  53. 4
  54. maequ 4C-2l.
  55. naego 2 l4e + 4l - ll +602
  56. aego et b
  57. 12
  58. fiet : - 8(e + 3 (4 , 60Y au e + b
  59. 14 parsus denize.
  60. 2,C +b + 4e l - 2(3 aequ4 P
  61. seu 2e +2b(4 Cl2
  62. 8e tset
  63. 4)
  64. aequ4e3l. et divisis omnibus per
  65. fiet 4le+ l’+6e laequ 4e
  66. fiat e aego vl. et erit: 4(v +1+6u aequ 4VB
  67. et habebitur valor ipsius V. et eo pro e substituto in aequ. procedente
  68. quod puto fieri posse
  69. restabit solum quaerenda l.

Cite

Leibniz-Handschriften zur Mathematik LH 35, 13, 1, fol. 188v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068196:0372?run=74