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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 504

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: 0.75.

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

The machine reads it as

  1. p uaun
  2. 2
  3. L. ALL 1DL 11.
  4. L. HESSEALOECCCNVII.
  5. ildem posris. Gunc B, . C. L, DL. quadracis, ae qualia rectangula B. F RV,
  6. ofelle, ad parabo la.
  7. 4
  8. 1
  9. Demonstratio.
  10. Ectangulum GFR V ad rectangulum
  11. TITSX est vE R V. linca ad lineam
  12. SX: igicur X quadearum C B cst ad qua-
  13. dracum PT, ve R. V, linca ad lincam SX:
  14. sedre BG quadracum ad quadeacum PI,
  15. Gc AOC rectangulum, est ad a rectangu.
  16. lum ATC, igicur rE R. V ad E X lincam,
  17. sic AOC rectansulum. ad rectangulum
  18. ATC, id CA DM C rectangulum ad re-
  19. ccangulum DN C, id eA M R b linca ad
  20. lincam, SNV, quia RST. oAensa eAt para-
  21. bolasisitur _ ML V. est ad XN, VEDMC
  22. rectangulum ad rectangulum DNC.
  23. similicer octendam oNc X N ad Z O, ve
  24. DNC reccangulum ad reccangulum
  25. DOC; punccacixirur N, X, L. ad Pat2
  26. bolam lunF.
  27. . (11
  28. PROPOSTFIO CCCZHHIE
  29. IIdem posicis: iuneaneur AB, AP, NO: tancq receangula E, F. N.
  30. LIHTX, L. IEZ aequalia quadraris AB, A P, AO
  31. Dico V, X, Z punctarurtum esse ad parabolam.
  32. Demonstratio. IC dEit
  33. ol
  34. Voniam BC, PL,O L, normales sunend AO, quadracum A B (2 qualc est qua-
  35. dracis AC, CB: sed C B quadracum aequale posrum est rectangulo Cr Fi RV.
  36. ex A Ci quadratum aequale reccansulo C F R: igicur quadratum A B id est rCCTAN-
  37. sulum G F V, aequalo est recrangulis OFK, CF RV: Smilicer oRtehdirur
  38. receangulum IHIZ, aequale esse reccangulis ITIS, TIISZ: _E LRZ reccanou.
  39. lum aequarireccangulis V.KC P, P. R T. Z. Ced cum (C FR, G, FR V recrangula x
  40. qualia ponebancur quadraris A C, CB; _ THIS, IFTSX, aequalia quadracis AI,
  41. 316. e IP, XC. Octenta Cunc V, X, L ellc d ad Barabotam; isicur ee iam 28 parabolam (un.
  42. PROPOSITIO CCCXIX.
  43. NIE, AB C parabola diametet A D: de ordinarim ad illam posirxe DB:
  44. Dhac aurem ve DB adt DB, AC D F. ad. F...
  45. 3: FI2. t
  46. DICOAF. F esse ad parabolam.
  47. t 37
  48. e mutaus
  49. BF lis St sta B92 III.
  50. 113He.. FR I P. 2d A B. H S.ILBEHP 3B INSigi: X lMMBDesil he nait 1EZ W P X P a
  51. ap. 3 X. AIE eY S . Bit nop, HROi SaIBMO.S E LeI MB AA CL HC etC
  52. .3e11d cc2 F. l c t 2L. F1. 1. 1 L. P3 11.2
  53. A.
  54. dC
  55. Oocton
  56. dico puncla +4.
  57. 4.
  58. 7. huius.
  59. o se tet u se s e e otte t e t u su e etut sut s tu st s ste s tat ite at

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 504. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0561?run=74