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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 909

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: 0.84.

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The machine reads it as

  1. ex 1
  2. GF OM EFRIC A.
  3. 90
  4. Fiac enim ve C ad D, sic A ad F, Dicorationem AB ductam II FXCBHCM
  5. CD Dioduccrerationem AL. Demonttraciopacee ex Deacedenei.
  6. ROPOSIFIO LXXVI
  7. Aca sic quaeuisrario A ad B.
  8. Dico raltortem AB ductam in racione B A viod racio
  9. 11
  10. nem aequalitatis.
  11. Demonstrath.
  12. Vancicari A a qualis aTumatur quanticas C. PatiO A ad CCPonitur exracione
  13. AB, X racione BC, 2 hoc estracio A ad C, produoitur ex mulciplicacione ra- 2 Princip. 2.
  14. cionum AB, _BC. sed racio BC cst rario B A, eA enim C aequalis A. PrgOracio
  15. Aad C eriam peodulicur ex mulciplicacione racionum AB, et B A. Ccd racIO AC
  16. ectracio aequalirarisi liquer ergo propolicum.
  17. 1. Litit dis tc
  18. PROPOSITIO LXXVII.
  19. lincer A e B celuis ponantur cermini C, D
  20. Dico AC racionem ductam in C B candem producete quam ra-
  21. Demonstratio.
  22. in
  23. eio AD ducta in DB rationem.:
  24. Acio A ad B, componitur ex racio-
  25. citur ex ractorum AC _ C B molci-
  26. plicatione. Padem quoque rario A ad
  27. B, componicur ex racionibus AD; ec
  28. DB; hoc est producieur ex ductu rationum =D, D.
  29. nem C B, eandem producierationem quam ratio L D auctain raci
  30. etac demonstrandum.
  31. pibus AC _ C B, hoc eAb produ-
  32. PC
  33. B 1bid
  34. S
  35. Dicorationem A C ductam in rarione
  36. AEX sinE quatuor quanricaces A, B,
  37. BD candea prouueele rarionem quan
  38. tacio AB, ducta in rallonem BC.
  39. Demonstratio.
  40. LtarvE B ad D, Sic C ad F. Fr3op er 75. huius L
  41. ad B, producitur ex mulciplicacione rationum
  42. AC, d BD. Deinde quia est ve B adD, sic C
  43. 2d F, erir permutando B adC, ve D ad P. Cr9O
  44. foratio AC ducta inracio.
  45. DB. 46a
  46. rioc A dvecaao Poenratione a . cl80ce rae ca cibia
  47. in racionem B C produci racionem AF, sed hanc eriam producierario AC, dueta
  48. inracionem BD, reostendi supra. Racio igitur AC ducta in rationem BD, idem
  49. producis quodracio AD ducta in racionem BC. Ouod crar demonstrandum.
  50. L. 22
  51. corol.
  52. ratio AD ducta in racionem D P. idem producs
  53. quodracio AD ducta in racionem BC. sed r2-
  54. pui sa uu i e s ute a t t ete et te e te a ut u u. e t

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 909. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0966?run=74