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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 216

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. TR
  2. s
  3. Demonstratio.
  4. Inea A F 2d A F duplicatam habex rarioneHi
  5. LA B ad AD, cum Eam AC, AB, AF, quam
  6. AC, AD, AF concinue sinc proporcionales, ha-
  7. beancque communem primam A, unde cum ra-
  8. eio rectanguli F AB ad F AD compolica sic ex
  9. raTIONC AF ad AF, _ AB ad AD, PAFCE
  10. E A B rectangulum ALCcaSulum F AD rriplicatam habere rarionem ejusquam
  11. hrabet AB ad AB. Duodsudemonstrandum.
  12. PRODOSTTTOXCILI
  13. Fomento cuiuis B C criangulum inscribatur AB C, ductisque con-
  14. CsCus HC, CL, Pohuncur ex B verticerrianguli dux BD, BF,
  15. contingentibus rquidictantes.
  16. Dicorectangulum D AB, ad F. C B, eriplicaram concinere rarionem
  17. eius, quam habet AB ad BC.
  18. Demonstratio.
  19. Vm RC Ac concingens, eric angulo
  20. G AB id cst ABD (ob A C+. BD P2-
  21. FallelaS) aqualis angulus a AC B: e quia
  22. FC quoque circulum concingie, angulo
  23. FCB id CA RBC (Ob B B, FC Paralle.
  24. la5) aequalis cst angulus B A C: criangula
  25. isicur ABD, BP. C Similia lunc criangulo
  26. ad secundam: rario aurem rectan AB ad F C B, rectangulum, composita est
  27. exratIONE AD ad F C, d AB dd CB, criplicacaisicur racio est rectanguli D A B
  28. ad P C B rectangulum. Ouoderat demonstrandum.
  29. CKet ootIO XCI,V
  30. irculi ABC diamerex Sece D d F, punctis, aqualirer à cen-
  31. Mclo semoris; ex quibus bia ad duo quaedam perimerri puncta B, P
  32. rectae dcua B, DF, LB, F F.
  33. Duo quadrara DB, B E. sitmul Cumpra quadraris DF, F F. esse xqualia
  34. Demonstratio.
  35. Vngancur AB, BC, AL, FC, Ct V
  36. de F demiccantur perpendiculares
  37. BG, FFT ad diameerum AC, qua ca-
  38. danc primo incer D ex L, erunc igicur
  39. anguli ADF, C F. F rectis maiores; vn.
  40. de quadcatum c F C excedic quadra-
  41. cum FF, guadraco C F una cum re-
  42. ctangulo C F HI bis sumpro, et quadra-
  43. rum
  44. AB
  45. IdC vE AC ad AB, SIC AB ad AD: _C VE A C ad CB, itA CB ad C F
  46. duxe ivicur continue proporcionalium series communem habene primam AC; unde
  47. 26. terris.
  48. 27. de
  49. Eropureton
  50. AD ad F C, cerria ad cerriam b duplicatam habet racionem AB ad BC sccundx
  51. 12. Secun
  52. p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 216. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0273?run=74