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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 638

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: 0.80.

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

The machine reads it as

  1. aquales DI, _ F 6.
  2. I. Buius.
  3. 1.
  4. A Y P ER BOL A.
  5. TKOFOSITTO CCII.
  6. Trepli ABC diameret IL A C, contingences ad A de C, AD; C P:
  7. Dcinde DF aquidistent AC, ductis in super L. D, Ranerectis L, BD.
  8. Dico AI; d CC hyperbolas este oppo.
  9. CIEas.
  10. Demonstratio.
  11. DOnaneur IK que aequidistene AD: cclinc ist.
  12. Tux TR aequales D A. quia vero BM lincis X.
  13. quales lune DF, e DI aequales L, BD, rectari-
  14. sula DFF idest AKC, xqualia sune rectangulis
  15. BDM, id es quadraris D A suC IR. igicuT ARC
  16. ad AK C, rectangulum est vE TK quadeacum ad
  17. quadratum IK. vnde AI, punctaa ad tixperbolem
  18. lunc. similicer ostendam puncta C CC, ad hyper-
  19. olam estc. quia vero AII, C CC hyperbol
  20. communi saudenc cransuerta AC, OPPOlIEX CFUNE
  21. blectiones AII, C66.
  22. 1
  23. en OPOSItIO CCTTI
  24. Virculum ABC cuius diametet
  25. L+AC; contingane quocuis DB.
  26. occurrenres diamcrro in B: crectis
  27. aurem parallelis DF, RanEDB re.
  28. ctis aequales DF.
  29. Dico A C. este ad eandem hypet
  30. bolam cuius diamerer cranlierta
  31. Fi5 BE E
  32. 1
  33. EAC.
  34. Demonstratio.
  35. Droniam BD contingences sune, re
  36. 20 Actangulis AD C xqualia sune quadra
  37. ca D B id est exhypochesi quadraca D F.
  38. quare AD C ad ADC rectangulum, est
  39. sE D E quadrarum ad quadracum DP.
  40. igicur A, P F. puncta ad lisperbolam lunt
  41. cujus cranluerta diameter AC. Duod tuie
  42. demonstrandum.
  43. cc
  44. 0
  45. aurerbv Et
  46. eche . ulona
  47. 11 1121L. 1 ( it e 1
  48. B RO.
  49. AF23 CNC
  50. iet

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 638. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0695?run=74