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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 213

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: 0.88.

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

The machine reads it as

  1. 1
  2. to
  3. CTRCVErS
  4. P R O POSITIO LXLAYI.
  5. Ccurrar icerum circulus ABC, cuins diametet AC, ClMTO CTTCuM
  6. AF. C, ductaque ex A recta A B F, ponacurnormalis BO Lad AC.
  7. Dico lincas AC, AF, e compolicam ex AC ee BF, in continua cf-
  8. cadalogia.
  9. Demonstratio.
  10. Vadracum AF, xe quacur quadraris AB, BF, et
  11. A BF a cectangulo bis sumpco: cst aucem qua-
  12. dracum B F aquale B C b quadraEO, eC AB F rC-
  13. etangulum bis lumpeum aequale AB C rectangulo
  14. (hoc CAC AC. BD) bis sumpco, hoc est rectangulo
  15. ACBF Cemel lumpeo; igicur quadratum AF, X-
  16. quale est quadeacis A B, B C, hoc est quadraco AC.
  17. e rectagulo AC, BF, lemel sumpeo. Sed AC, qua-
  18. dracorna cum rectangulo A C B L, aeguatur rectan-
  19. Bulum Cuper AC _ compolica Cx AC, BF; 1gi-
  20. cur quadratum AF, aequale est rectansulo (uper
  21. A C de compolica ex ACBF. Vnde linca AC,
  22. A E _ COmpOLICA CX A C B F in contina luncana.
  23. logra. Ouod Fuic demonstrandum.
  24. PROPOSIFIO LXZXVIL
  25. Xera aream circuli A B C, sumpeo puncto E, demMacut ad alaHe-
  26. Lerum AC normalis F. D, Ponaturque quaenis alia F. IK.
  27. Dico (i D punctum communis lincarum AC, D F: incerlectio cadac
  28. intracirculum, quod E. D quadratum superet rectangulum IF. K re-
  29. ctangulo ADC: sivero D, extra cadat, dico quod E. D quadratum detr-
  30. ciae a rectangulo lF. K, rectansulo ADC.
  31. Demonstratio.
  32. DRoducta D E, circuli perimetro occurrat in B: qua-
  33. dracum DE aquale est quadraris DC, GF vna
  34. cum DCF rectangulo bis sumpro id cst reccangulo
  35. BO E Cemel sumpeo. sed BCF. rectangulum vna cum
  36. quadrato CF. aquatur rectangulo BF C, igieur
  37. quadratum D F. aequale cA quadraro DC, id cA rc.
  38. etanguloC D Arna cu reccangulo GF B id CAIF R.
  39. Ouod HD exera circuli arcam occurrar diamerro
  40. AC prOdUCEX, AUICAEUF CK E FCCTA F A, OCCUETeNS
  41. perimerro circuli in F, iungancurgue CF: cruncica
  42. que similia criangula ADF, _ C AF, QDA, AF.
  43. lacera proporcionalia laceribus AF, AD: vnde _ re-
  44. crangula C AD, F AF, lunc incer le xequalia; quia
  45. VerO QUadraTUM A P aquacur recranoulis A R F, F A F, cidemgue AF gnadrato
  46. xquantur quadraca A D, D Esquadracum aurem AD, aquale cAt reccangulis ADC,
  47. DAC, cruncroctangula AP, F, E A F, aequalia recrangulis AD C. D A C vna cum
  48. quadraco DF, octensum aurem est reciangulum D AC, recrangulo LAF. aquale,
  49. quare relidua quoque inter le xqualia sune, id cA CD A reccansulum auctum qua
  50. draco DF, aequale reccangulo YP. A, id eA LV. K. Guod erac demonstrandum.
  51. lic
  52. P0s. 4
  53. c69. huins
  54. e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 213. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0270?run=74