Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 361

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: 0.85.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. 1C
  2. elUS
  3. DE MONSFR A ETON FBIS.
  4. Cujus utraque pars si diridatur per a - F 2 b,
  5. invenietur x ∞ a = 28. Hloc CA, relolur â aequalicare
  6. in proportionem, erit uEa L 2 b ad b, ica b ad x.
  7. Id quod docet, ad secandam A B in D, qualis requiritur, pro-
  8. ducendam esse AB ad L, ita ut BPSc ae qualis B C; ac deinde ad
  9. AI _ IB vel BC inveniendam esse ztiam proxorcionalem,
  10. hoc est, uE A Y sic ad IB vel BC, licuL B C ad CD.
  11. UIc autem pateac demonstratio, repetantur Analy leos restioido
  12. Si enim per taec ipla regrediamur, incipiendo ab ejus tinc e desi-
  13. nendoubi illa inicium sumplic, invenca limul erie via a dato, seu
  14. concesso perreniendi ad quaesitum. In quem igitur finem binas
  15. seguentes compoliciones, quarum altera Alsebra, altera 6C0-
  16. merrix genuina elt, ob oculos ponere visum tuie, adhibira utrius-
  17. que calculi interpretatione sire ad figuram relatione.
  18. Compositio Alcebraica.
  19. AAD, CDreIADEF
  20. ADB rel DBCFI.
  21. bb = 2 b X F X X.
  22. Addatur verinque XX,
  23. QAC, CD
  24. critque c a X ∞
  25. Compositio Ceometricz.
  26. Finis Composiionis.
  27. e HEA N -L ~ X 3
  28. GC. D vel D
  29. BDB- BCD VeIDR) i. C. d
  30. bb - 2 b N.
  31. DCBK
  32. DCL, CDreL.DCDIFHCD
  33. Auteracur utringere 2b∞,
  34. DAI, CD HIBVeIBC
  35. eriE S ax F 2 b x ∞ bb.
  36. OAD, CDVeIADF. F
  37. ECFE, per 3, 2di, a V = X X ∞
  38. EDBrelDBOFI.
  39. bb - 2 bX L X X. Per 6. 2di
  40. ACDVeIDK
  41. AddatuE vErinquC X X
  42. OACD BCBR
  43. CxiF, Per 16. 611 a x ∞ bb -- 2 b X.
  44. Id est, reducta proportione ad
  45. aequalitatem,
  46. AC CB BE KDreICD
  47. UE a 3d b, 1Fa b - 2 X dd X.
  48. Et, Sumpris consequentium sc- casus
  49. miltibus, vide Claium ad 22. 51i. d et se
  50. AC CI BR. RC
  51. ut a dd 2b, ita b -- 2 X dd 2 X. cper 2 se
  52. Undedividendo erie, per 27quinti. cundi.
  53. AI TC BC ZCD VeICR
  54. UE at 2b ad 2b, it a b ad 2 X.
  55. id sentre
  56. 52
  57. 2 per 3 se-
  58. cundi.
  59. per 650-
  60. cundi.
  61. c Pet se
  62. Cunai.
  63. F per 17

Cite

Ps. 2, fol. 361. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0385?run=74