Leibniz Legible

Machine transcription of the Leibniz Nachlass

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LBr. 695 · Oldenburg, fol. 44v

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: 0.79.

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. 45r); this page is its left half.

The machine reads it as

  1. YO C+ CtX -∞5 - - 3 + et a + C 4 2CB X + 4C +C18 4 _c. Prior
  2. SXT.
  3. 25 ∞8
  4. modus eligendus est si x valde parvum sit, posterior si valde maonum
  5. Exempl: 3. Est
  6. +-7 a.
  7. e
  8. N
  9. YyL hoc est M X y. - aays =) = HX yt e
  10. . m = - 1. n-3. A (= P = y 3X 5) = y = 1
  11. ) = ad uc.
  12. 3y3
  13. 7
  14. Exempl. 4. Radix cubica ex quadrato quadrato ipsius dC
  15. (hoc est d +13F) est d 4 + 4cd5 + 2eC
  16. A(=~ 3) = d ec.
  17. c3
  18. 9d3 9d3 = _c. nam Q - d. G = m- q. n. 3
  19. Eodem moda simplicet etiam potestates eliciuntur. Ut si quadrato cubus
  20. ipsius d + 2 (hoc est d r13, seu d d? desideretur: erit Tuota Regulam
  21. P- d E. m - 5 et n. 1; adeoque A( D =) - d, 8 (= AG) -. 53t C
  22. et sic C = 10 d cc, D = 10dd c E = 5 d2t, F = E 5 et G(= m - 5n F G) = 0. Hoc ett
  23. d. ds - d5 + 53+ c + 10d3 ee + 10dd5 + 5d et + c in
  24. Guinetiam Divisio, Sive simplex sit, sive repetita, per eandem
  25. 2
  26. Regulam perficitur. Ut si H. (hoc est d + C). sive d e ) in sercem
  27. simplicium terminorum resaluendum sit: erit suxta regulami P-d
  28. G- F. . m - -1. n - 1. et A(= 9 in = d. 1) = d-1
  29. Seu g. 8= AG
  30. = - 1. X t X 3. = = , et sic C = EC 7 - - 23 NC. Hoc est L
  31. d7. + c
  32. d5
  33. d7
  34. d+ 5 = 3-
  35. 3d 95
  36. Sic et d + 1) (hoc est vnitas ler divita per dc vel semel per cubum
  37. ejus) euadit L- - 3E + 633 = 105Z + ac.
  38. X
  39. 03
  40. d7
  41. d
  42. 2
  43. 6
  44. tissim
  45. compendiam pro mea circuli dimensione B,
  46. transformati
  47. formatio
  48. nis facta. Et pro aliis trans
  49. quadrato-
  50. Et gX. d+E3= (hoc est, N diuisum per radium quatata cubicam
  51. Ex cubo ipsius d+C, Sive. V0 3 + 3ddC + 3d eC + E3) Euadit NXD2 -3
  52. 12 EE
  53. 25313 = 52 c3
  54. 1259 18. _c.
  55. 50 e
  56. Per eandem Regulamt Geneses potestatum per D’otestales aut pes
  57. quantitates radicales, extractones raduum altiorum in numeris etiam
  58. commode institurentur.
  59. Extractiones Radicum assectarum in speciebus imitantur
  60. earum excractiones in numeris, sed methodus Victae et ougluede
  61. noseri huic negotio minus odonea est, euapropter aliam excogitare
  62. ad actus sum cujus specimen exchibent sequentia Dcagrummata voc
  63. Dextra columna prodit subttituendo in media Alumna valores
  64. iptoruur p, q, r, rc; in sinistre columina expressos. Prius
  65. Diagramma exhidet resolutionem hyus numeralis aequationis
  66. 9d - 2y -5 -0 et hic in supremis numeres pars ne gatiua Radicis
  67. subducta de parte assirmatiua relinguit absolutam Radicemsi
  68. 209455 148: et posterius Diagramma cahibet resolutionem husus
  69. leteraria aquationes y3 + axy + aay - 3 - 2 a3 = a

Cite

LBr. 695 · Oldenburg, fol. 44v. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/DE-611-HS-860722:0088?run=74