Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Ps. 2, fol. 369

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: 0.80.

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

The machine reads it as

  1. ABa
  2. dupla.
  3. MInuS
  4. ACatIY
  5. YatHI
  6. b 16
  7. euli
  8. eIII
  9. re-
  10. BF
  11. CO,
  12. C
  13. C;
  14. Pat
  15. 111
  16. 2M.
  17. (unE
  18. Dre.
  19. ecti
  20. (I(
  21. DE MONS FR ATTONIBUS.
  22. 369
  23. balIsque A F basi P F aequalis. Porro cum b propter parallelas b per 29
  24. AC, CF anguli D AF, FF C incriangulis AFD, FOP. Xqua- primi.
  25. lessinE, uc _ anguli ad verticem AFD e G FF, latusque A F c per 15
  26. lateri FP, uc ostensum est: erunt quoque d reliqua latera A D, Primi.
  27. d per 26
  28. DF reliquis lateribus F. C, C P aequalia. Hlinc cum propter (1. primi.
  29. milicudinem triangulorum BGL, BDC, BO SIC ad CP, id elt, cper Cor. 4.
  30. AD, sicut BD ad DC; necnon BC ad BF, id est AB sicue quinti.
  31. F per 16
  32. BD ad BC: erie quoques permutando BO ad BD, SICUE AD quinsi
  33. ad DC, de AB ad BC. Ouod est primuIm.
  34. Caeterim D C. bis esse ad excessum, quo DC. SuPCrAE AD, SICUE
  35. BD adDF: Ita PATCE.
  36. E.senim, ut BO ad BD, ita A D ad D C
  37. b.- 27-. b
  38. 5
  39. y.
  40. Ideoques DBO, D C D ∞ lOBD, AD.
  41. 2dd. utrinque 272
  42. by - 27Z∞ bc.
  43. colI. utrinque bc
  44. dix. VEringuC PeF 2y.
  45. by ∞ 27Z +b6
  46. by - b6∞27
  47. b9 = bc
  48. FIt
  49. 2y ∞ Z. HIOc elt, erit ut
  50. 2DC DC- AD BD DE
  51. 27 2d y =c, ita b adZ. Ouod est secundum.
  52. Vel eriam, hoc modo:
  53. Etenim CuI (IE
  54. ut BO ad BD, itA AD ad DC
  55. b- 2Z-- b 0
  56. erit invertendo h
  57. uE DC ad AD, ita BD ad BC
  58. 6-
  59. b 1 b - 2
  60. e per convertionem rarionis
  61. UED C ad DC = AD, ita BD ad DC
  62. - 6 b
  63. id est, duplatis ancecedenribus, X
  64. UFZD CadDC == AD, ita 2BD ad DC seu BD ad BF dnt ad 22
  65. y
  66. A 2 a
  67. 8 per 1C
  68. sexti
  69. M per COr. 4.
  70. quinti
  71. i per COr. 19.
  72. quinti
  73. L vide Cla-
  74. quinti.

Cite

Ps. 2, fol. 369. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/175906937X:0393?run=74