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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 175

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: 0.84.

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

The machine reads it as

  1. E ve
  2. ulum
  3. _F.
  4. pelleca
  5. BC0
  6. ei AH
  7. 0
  8. duobu
  9. 11 due
  10. ec p.
  11. XI
  12. alupe
  13. eA136
  14. GIR C V L V S.
  15. bali eriansus deleripei educaneur rectae occurrentes perimerris in D e F.
  16. Dico puncta B, B, E, in directum constirura elle.
  17. Demonstratio.
  18. DRimo vertex crianguli ABC in perimetrO BE
  19. circuli, qui super bali A C, delcribicur. iungan-
  20. curque DB, P. B. OUONIAM E D, PEF CCNETA F_ C.
  21. acta est, secabir bitariam, cum a recta A B, cum arcum
  22. AD B. eadem quoque racione radius F FL, diuidec bi-
  23. fariam cum BC rectam, cum B F C arcum. IgituE
  24. Cu ADB, B F. C similia sinc sermenca anguli A BD
  25. CBE. Cimilibus arcubus insistences, aequales (UnE:
  26. quare ex angulus ABD equalis est angulo BC F,
  27. qui2. F B arcus aqualis estareui P. C. est aurem an-
  28. sulus ABC aquales angulo BR C ex hypocheli, igicur anguli ABD, ABC.
  29. CBF. aequales sunerribus angulis crianguli B P C adeoque duobus rectis xquales.
  30. quarelinea DB, BB b sunc in directum.
  31. Sccundo B apex crianguli, Cuper bati ABC Crc-
  32. cti, incra lesmenci AK C aream CadAF; PTOdUICANEUT
  33. AB, CB, cadec illa in comunesc circulocum interse.
  34. ctiones I_R. Duoniam L. C, F. II linca cenera coitin-
  35. Bune circulor sele INECFICCANCIUM CTUHEAECUS AD I,
  36. RF C in D ex F Bitariam adiuisi, vnde AB D, DBI
  37. anguli, ITCm RBF, CBP sunc aequales, sed ec an-
  38. suli ABI, C BR ad verricem oppolici quoque inter
  39. sc aequantur, isitur _c angulus ABD, ipSI RBF 8
  40. TBD, angulo F. B C est aequalis. quare in directum
  41. IMED, B, E puncta. Quodexar demonstrandum.
  42. PROPOSITIO XIV.
  43. Vodsi super ABC criatsuH caletous lesmenca circulorum limi-
  44. sdelcripca tuerint; a recta qua dant Le per reulem acta:
  45. circulorum AF B, DDC, perimetris occurrat in D, de F.
  46. Dico lineas inter cauas circulOrUM A F. B, BDC peripherias e exti-
  47. mam circuli ABC incerceptas, aquales elle.
  48. Demonstratio.
  49. ee L.DContinga Clculum ABC in B.
  50. JUngancurque AE, C D: Ouoniam R B el
  51. contingens, eric angulo R B A, aequalis can-
  52. sulus ACB: eadem raciome angulus
  53. C AB aequalis est angulo CB D: vnde cum
  54. anguli B A C, BC R per BypOchCSIM SInE
  55. requales, crunc quoque ansuli E B A; CBD
  56. incer se aequales. sune aucem ee anguli AF B,
  57. CDB, (0b AR B; CD B Scomenca Cimilia)
  58. aquales, insuper ex AB, linca aequalis lince BC, a AE. B, Ctianeu-
  59. SCCHHCO F D POnATUE COnCIIISCHS, Cllanoulo A B C existence Scaleno, dicL L
  60. in B bitariam sccari. sic A B lacus, altero B C. maius, et P D contingeni, po-
  61. naLUE
  62. Ie primo criangutu Lelium ABC;
  63. 10 CBD SE F B lacus, laceri BD cAaequale
  64. 32. Verris
  65. i ea
  66. e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 175. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0232?run=74