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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 581

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: 0.81.

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

The machine reads it as

  1. uio.
  2. nAR.
  3. unis
  4. Ao
  5. tion
  6. 10si
  7. 1B,
  8. i8
  9. A. AB
  10. ue
  11. F
  12. ilq
  13. ene
  14. NC.
  15. Jam
  16. 1
  17. D.
  18. HI Y PEM BO L A.
  19. PROPOSITIO ACL.
  20. INE AB, AC asymptori hyperbola DF F, e ducta DB, FC alym.
  21. Dpcoto AC aquidiltenE: IUnSaNEUTG AD, A F, _DF.
  22. Dico criangulum ADF aequale esse AglIrX
  23. quadrilaterae DBGF.
  24. Demonstratio.
  25. TRiangulum BD A = xquale eAt F C A criangulo(quia
  26. dimidia rectangulorum D A, A F aequalium): igieuE
  27. ablaco communi triangulo A C T, rehduia sune aequalia:
  28. Scilicer F AI criangulum, quadrilacero BD GT. addi-
  29. ca icaque communi tigura DPF, Cric D A F criangulum
  30. aquale quadrilacero DB CF. Ouod fuie deMton
  31. dum.
  32. PROPOSITIO
  33. Tine dux hyperbolae xqua-
  34. les de imiles, quarum a (ym - 2521
  35. DEOTILINE AB, BC; F.D, F. F: PO-
  36. NANEUEaUECM AIE, L. MI, _ SF,
  37. R Oproporrionalesinter le, e
  38. alympeoco cuidam parallelx.
  39. iunctisque RL, OS ac dinils
  40. bitariam per diametros BFI,
  41. F C, Occurrences sectionibus
  42. in I d O. duCaMEuE IR, IL, _
  43. D0 05.
  44. Dico triangulum LLIL X
  45. quari 9OS criangulo.
  46. Demonstratio.
  47. Donancur LH, O aGaaeS
  48. AR, OR. quoniam AR, LM
  49. SF, OR, in aequalibus ac similibus
  50. Ayperbolis, proporrionales TunE:tra-
  51. DeZIU AKL M Bxquale cAO RF S
  52. Erapezio. & quia concinux lunE PrO.
  53. porcionalestam SFi, cOP, OR,
  54. quam AR, NE, ML, adcoque SnE
  55. Proporcionales AR, NVI ipsis OR,
  56. OP: iBitur quadrIlaTeTA ARIN, QOPR d aqualia sune inter lc. ee Similicer 3+. hu-
  57. EFaPCZIa INML, OP F S. ablacisigitur trapeZiis AR IN, S INML agualIbuS
  58. iplis QOPR, OPFS, remaner criangulum KIL. aequale reliduo criangulo
  59. 905. Quodtuir demonstrandum.
  60. Ba
  61. hains
  62. c

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 581. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0638?run=74