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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 71

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: 0.82.

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

The machine reads it as

  1. 210
  2. AL.
  3. aua
  4. rec
  5. n2-
  6. ex
  7. ad
  8. 14.
  9. DEa
  10. AnC
  11. ee
  12. 2m.
  13. Ua
  14. 190
  15. que
  16. Uci-
  17. 1
  18. D
  19. N.
  20. CF OMF TRIC A
  21. Demonstratio.
  22. Vadrarum enim F F est X
  23. ualerectangulo sub AB 8
  24. L; _ quadracum FG, aequale est
  25. rectangulo sub BC d L; ver
  26. eriam quadratum CFI, re-
  27. aangulo sub CD et N con-
  28. cenco: isicur ve quadraca PF,
  29. FC CHlincer se lune, ica etiam
  30. rectangula sub laceribus AB X
  31. T, Tub BC X C, icem sub CD, _ N COnCenCA: LCa QuaTACZ LMMCMCOMMIMUaEa an2.
  32. logia, (cum lacera super quibus tunc ex hypocheh Coeu analosia) ipieur
  33. etiam rectangula, sub laceribus AB _ I, BC _ L, CD _ NY, sune concinué prO-
  34. porcionalia: cum aurem ipsorum bales ponancur in conrinuaca ratione AB, BC
  35. CD; Cciam I, L, N, alcicudines erune in concinuata analogia pex prxecedente. Podem
  36. modoquir exhypoches F F, F Ci, CFT, ex ex demonstracis modo L, L, DF, liinc con-
  37. cinux; icemque exhypocheli F F, T, R: _ F G, L M; irem Cn FF, N, O, concintaM
  38. Ceruanc analogiam: demonstrabimus K. MI, O esse concinuas. similiter quoquepro:
  39. cedetur in lineis P, G. R, acqueira in infinicum. constat ergo rericas propolicionis.
  40. P R O POSITIO ZXVI
  41. Int leries concinux proporcionalium, habentes primum cerminum A,
  42. LCOmMunCM, A, B, C, D, F, F, _ A, MI, N, O, P, O; continuaEEautem
  43. Cerie veriulque, hac ve B ad A, ita A ad G, deC. d ve M ad A, ica A ad
  44. R, GICVEOmneS F, E, D, C, B, A, G, FBI, K, L: irem omnes , P, O, N,
  45. M, A, R, S, T, V, X Sincin concinuata analogia.
  46. Dico este B ad ML, ve R ad
  47. G, _C ad N, ve S ad FI
  48. D ad0, vc Y ad 1, Xc.
  49. Demonstratio.
  50. Vn B, A, O, SInE EreS conti-
  51. nux, icem NI, A, R, cric eam
  52. brectangulum BC, quam rectan-
  53. Sulum MR, quadrato A, idcogue
  54. d inter se aequalia. O vare ve B ad
  55. NIACcR ad C Similicer quoniam
  56. C, B, R, C FF sunE ContinuX, ic2
  57. vemediam A, xqualis verimque
  58. proporcionalium numerus cingat:
  59. Pacec exelementis, A ese mediam
  60. proporcionalem, incer C ex HI:
  61. rectansulum isitur FTC aquatur quadrato A; eodem modo rectangulum SN qua-
  62. draco A aequale erir: ergo incer sc aequancur rectangula TTC, SN. O uarCd vEC 24d Ibid.
  63. NV, Cic S ad FI, simili dilcursu exie ve D ad O, Ac Y 2d P, e sc de exceris. Ouod
  64. erac demonstrandum.
  65. 117. Scieri
  66. C1b. Seuti.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 71. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0128?run=74