Leibniz Legible

Machine transcription of the Leibniz Nachlass

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Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 332

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: 0.77.

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

The machine reads it as

  1. Elementi quinti Euclidis declaratio.
  2. CAP: 3S
  3. 34 Si sint quorcunque quantitates, A, B, C, XC. aliaeque ipsis nume-
  4. r0 aequales, a, B, y, _C; (orq. majorrario primae priorum ad primam pon
  5. steriorum, quam secundae ad secundam, e haec major quam terriae ad ter-
  6. B
  7. iam, es sic deinceps: _ = B = _C. Flabebunt omnes priores
  8. simul, ad omnes posteriores simul, majorem rationem quam omnes priores
  9. relicta prima, ad omnes posteriores relicta prima: Minorem autem quam
  10. prima priorum ad primam posteriorum; Najorem denique etiam, quam
  11. ultima priorum ad ultimam posteriorum.
  12. et
  13. Suncoprimum ucrinque dux, A, B, _ a, B. Ononiam igitur
  14. A +B
  15. e
  16. A + B
  17. adeoque permutando pd e componendo
  18. a +6
  19. E Pric, permutando, _ Per DrOP. 33,
  20. a +C C= B)
  21. a Dux erane probanda. Et similiter
  22. BLC
  23. probandum erie B L 7
  24. C+ D
  25. 2 F st
  26. P
  27. st
  28. C
  29. 3 = Y
  30. L
  31. C.
  32. y
  33. 2 2
  34. B
  35. L
  36. La
  37. Icem
  38. Fchcabiriss
  39. R
  40. Secundo, Ponantur utrinque tres, a
  41. permembrum primum à lr B
  42. B
  43. B
  44. C
  45. Ouoniam
  46. BFC
  47. B+ 33 exit permu-
  48. AFB +C, a+et7
  49. tando BFC CF7 e componendo B +C
  50. t
  51. +y
  52. icerum que permucando, e per membrum primum, et Per PF. 33.
  53. Erit
  54. A. FB + CC
  55. B F C
  56. a + B+ 3 6 + 3
  57. C
  58. ).
  59. A
  60. a quae eranc de-
  61. B+C + D C.
  62. monaranda. E.c similiter probabicur 6 + n + s
  63. C+D
  64. +s
  65. 3
  66. a
  67. Fodem

Cite

Qua Continentur, Oratio Inauguralis. Mathesis Universalis; sive, Arithmeticum opus Integrum, tum Numerosam Arithmeticam tum Speciosam complectens. Adversus Meibomii, de Proportionibus Dialogum, Tractatus Elencticus, fol. 332. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/826603459:0378?run=74