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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 486

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. 41.
  2. b 262. lu.
  3. d262. h-
  4. P A R ABOL A.
  5. Demonstratio.
  6. DOnancur ordinatim C A, FD: VEBFF ad BC, AICF K
  7. est ad F. F, isicur re quadracum OTIad quadrarum AC.
  8. sic IK. quadratum ad quadratum DF, X invertendo
  9. permucando ve AC quadracum ad quadracum DP, Sc
  10. CHI quadrarum ad quadrarum PK, _ VE AC adD F, SC
  11. GFT ad IK. scd AB C parabola est ad parabolam CBH
  12. a in eriplicaca racione AC ad CHL; e DFF parabola
  13. ad parabolam PF. K, in eriplicaca racione D F ad FR, crie
  14. isicur reparabola AB C. ad parabolam CB FP, sICD R Li
  15. parabola ad parabolam IF. K: X permucando vE ABC
  16. Parabola ad parabolam DF F, Sic C BFI Parabola ad Pd.
  17. rabolam PF R; quod erac demonstrandum.
  18. Si vero BC, F F laceribus rectis XgUeNEuE, Crit CBHI
  19. Parabola ad parabolam PP. R in duplicata rarione CHI
  20. ad TK: quia ABC parabolaad parabolam D P. Fiin du-
  21. plicaca estratione AC ad DF, cum AC, C B linex, icem
  22. DF, FF ex quibus brationem habene compolicams
  23. aequales pOnanEUE.
  24. 113C
  25. DR BEOSTTIO CCLXXXI.
  26. proporrionales sine, poltisque Ordinarim E G, FB, D C ex C _ B,
  27. diamceri demirrantur C HI, BL Ocurenres F B, D C lineis in HI X I: e
  28. pet F, II X F, L parabola descrrasseur habences apices in F X F.
  29. Dico FF LI parabolam elle ad patabolam D FI, in criplicara racione
  30. Demonstratio.
  31. Voniam A E AF, AD concinue proporcionales
  32. VE AF adC AF, AC F, F est ad FD: sed ve
  33. AF ad AF, SC LC quadratum eA ad quadracum
  34. FB, id est quadracum F FT ad quadcacum D I; ioiene
  35. De P F ad F D, SC FIT quadracum est ad quadracum
  36. DI: quia vero ratio parabola FP. FI ad parabolam
  37. D FTcompolica cltCx drarione B F ad FiD, id est
  38. ex duplicata racione LiI ad DP, d icerum exra
  39. tione F TTad D I, Parabola F F. TT cs ad parabolam
  40. D F I, in criplicala racione FFI ad D I. Quod crat
  41. Seo A B C parabolae aris A D divisus in F _ F, vE AF, A F, AD
  42. tHIad DI.
  43. ossionibi.
  44. CI. DEpro
  45. demonctrandum.
  46. Corollarium.
  47. Tinc sequicur, sipuram mixcilineam FTCFB, CHC aet HIV MLAIH ABC III CIPIICala
  48. racione IIB ad IC. cum enim F CF, FB, DC proportionales sinc, parabolae
  49. 241: D A G, F AB, D A C in cconcinua quoque sunc analogia: quarC _E F E C B mixti-
  50. El. Depro-
  51. lincum ad mixcilineum DFBC cIL AC PalaVA au ParabOlam F AB, id elt
  52. pressionibus. in criplicaca ratione P. C ad F B, I CH F HL dd D L. Ted _ LCCaHGutuM FC, ad re.
  53. Bnius.
  54. etangulum DB est in criplicata rarione linex F HI ad lineam DF, quia rationem
  55. adresiduum LB C. in criplicata eA rarione LEl ad DL. quia vero ellC, L. ad LB. 1d ell
  56. FH ad
  57. habent compolicam ex ratione F F ad FD, _x F FT ad D I. igitur ex reliduum HCB

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 486. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0543?run=74