Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 453

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: 0.78.

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

The machine reads it as

  1. Dola
  2. ECUF.
  3. d
  4. 1.
  5. EI2.
  6. CD.
  7. L.D
  8. ut
  9. alo
  10. ABU.
  11. ABII.
  12. lire.
  13. id
  14. EL
  15. an-
  16. im.
  17. im
  18. Iu.
  19. L A
  20. P A R A BC
  21. EeCtanO KML L. IBICE vE H C F reclanoulum, ad rectaneulum OMN, bc
  22. BCF. rectangulum ad rectangulum KM L: e permucando ve HIC Trectangulum
  23. ad rectangulum BCF, siC OM N rectangulum eA ad rectangUlUI RHL; Scd
  24. EtanSuta INCeI LC aGUanCUI. Cuodcrac demontra.
  25. eROPOS1YF CC+I
  26. VECenE AB Cemicirculum orrHoSonalirer diamerri dux AC, BD:
  27. Ddelerpas Per A, B, C, Parabola, curusaxis B , ducantur rectae quor-
  28. cunque F. F, parallela AC, occurrences circulo in F. de F, parabole in 67
  29. de HI, axi veroin I.
  30. Dico F. CF rectangulum esse ad rectangulum L. Cti, ve BlD rectan-
  31. sulum ad rectangulum BID.
  32. FTOT, BC E rectangula per hypochesim aqualia LIIMEigIEUE _E OMNY, RML rC-
  33. Demonstratio.
  34. DOnacur AB, CEeaS P Flineas
  35. In R. DE BK A rectansulu
  36. 2d rectangulum BK A, SC
  37. EKF a rectangulum est ad Fe-
  38. ctangulum PK F. sCd vEBR A
  39. rectangulum ad rectangulum
  40. BR A, SC GR EI B rectangulu
  41. estad rectangulum CKFIi igi-
  42. TUFVE FK F rectatioulum est ad
  43. rectangulum P R L, AIC O RII
  44. rectangulum est ad rectangu,
  45. lum GKTI. residuum isITUEP. CF rectangulum, et AA FCCLAHSIIIUIIM L C F, Vt
  46. FRF rectangulum ad rectangulum F. K F, id est rectangulum B K A 2d rectanou-
  47. lum BK A, id est rectansulum BID ad rectangulum BID. Duod erat demon-
  48. Arandum.
  49. EROPOSITIO CEXI.
  50. EcentABC lemCuu orthogonaliter aaeti aua AL, BV: de
  51. L (criptag: Pet A a B parabola cuius axis BO, delcribaCUE _E AIECTA PEF
  52. B _ C, hâbensaxem. D C _ vertice C ducaturq linea F. F parallela AC
  53. occuriens circulo in E. ee F, parabolisin C, ec tI, axi BD in I, et AB ium-
  54. etx in IE. 1101
  55. Dico EI quadracii esse ad quadrarui C. I, ve I Hx linea est ad lineam IK.
  56. Demonstrato.
  57. Tontam tam AV L
  58. Llu, quam DC, 21
  59. FTI Proporcionales TunE, de
  60. AD, CD veriusque serici pri-
  61. ma xquales, rario HI ad IR,
  62. certia adcerriam, dupicata est rW
  63. rationis Ll ad IC, 1a CaL1
  64. ad IC secundae ad secundam.
  65. isitur ve ITF linea ad lineam
  66. 2
  67. vorii
  68. moaaum
  69. 2c
  70. .
  71. nd 11Y. 1,
  72. eRO.
  73. TK, AC F. I quadracum ad qua a
  74. dracum GP. S.Guod erat, de. 25oB e .Xt. C1 33 .D i M 1231
  75. tia
  76. ti
  77. 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 453. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0510?run=74