Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 103

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

The machine reads it as

  1. 2, 4, .
  2. le
  3. LMuICI
  4. in cum iaI I
  5. eacundem ra.
  6. de quonum
  7. peulis renie
  8. 2FallaIIrul
  9. um summa
  10. in produci
  11. aequari lum
  12. eItuIEAC CUI
  13. mucalto siep
  14. X + b
  15. vela
  16. Onetatu
  17. mucacto
  18. -bX- F- b62
  19. 0
  20. rum radica
  21. ione crium
  22. S TeTIINOI
  23. 1 Mabe
  24. unduim 1e
  25. A O U A F L O N U M.
  26. 20
  27. nuI -L b -L C - f esse summam verarum radicum -f. b, -L C, _ Fa)-
  28. lx -f: e celcu terminum b0 = bf - cf esse Cummam erium
  29. Prodelr 106, = bf, & =cf, prour lingula binx radices
  30. in Ce inricem ducuneur; ac quartum terminum bcf esse pro
  31. ductum mulciplicationis erium radicum = b, + 6, _ = f. PateF
  32. quoque, deticience secundo termino, Fallam faequari lummae
  33. duarum verarum Fb X Fc; ec, deficiente certio termino, pro-
  34. ducta mulciplicationis =bfe = cf, ligno - aftecta, ae quari pro-
  35. ducto. f b0, ligno- L aAecto.
  36. Ouartum Exemplum. Forimemus aequationem ex continua inul-
  37. ciplicatione trium x -- b ∞ 0, ∞ -- 6∞00, _ X - d ∞ 0, quae sIE
  38. ∞3 = bkx + bCX - bCd ∞ 0. Femutatis signislocorum parium,
  39. d
  40. L db
  41. + d6
  42. recentis signis reliquorum, habebimus x3 F b X X F A CX L bc d.
  43. +c + b d
  44. + d + bc
  45. Unde perspicimus, secundum terminum L b + 0 p e esse Cum-
  46. manradicum + b, +c, 8 + d; ee certium terminum p dc- db
  47. Lbc esse summam productorum ex lingulis binis radicibus in le
  48. invicem ductis; ac quartum terminum + b de esse productum
  49. mulciplicationis omnium erium radicum.
  50. Ouintum Exemplum. Fiac ex mulciplicatione quatUOF X- b ∞ 0,
  51. - 6∞0, X-d ∞ 0, e x f f∞ 0 sequens aequatio
  52. dt b0X = bcd x = bcdf∞ 0. Unde mutatis signis
  53. L bd
  54. Lbcs
  55. Lcd 1 ba)
  56. bf
  57. If
  58. terminorum, locis paribus consticutorum, retentis sienis reli-
  59. 6
  60. quorum, habebimusxt L b ∞3 f bc x x bc d. X - bc d f 20.
  61. L bd
  62. bib
  63. obs
  64. oos
  65. Acque apparet, + b f. c. L d -f ese summam quatuor radicum
  66. ascu

Cite

Ps. 2, fol. 103. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0127?run=74