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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 616

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: 0.83.

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

The machine reads it as

  1. 1
  2. hu.
  3. AXPPLVOLA
  4. PROPOSTTIOCLXVI
  5. Inc AB, B C axes duarum pataoclarum aequalium, angulum rectum
  6. DC aquidistantes alymprocis.
  7. Dico (patiADEF, FCD, CDH inter sC esse xqualia.
  8. Demonstratio.
  9. Emonstratum est quancirarem D P H
  10. aduplam esequancicacis DP F. in suPer
  11. octensum est quancicacem F C D duplam
  12. esse DCFT. iBIEUT qUanEICAS DF F aqua
  13. lis est quanticaci D CFI: ac proinde quo-
  14. niam EDF vna cum DF C. duplum cAt
  15. DOTI cric quoque D F F cum D FC du
  16. Plum DF F. isicur sunc requales quancica-
  17. OFI. Ouod Fuirdemonstrandum.
  18. PROPOSAAIO CEXT
  19. Dico spacia similiter xqual incerse qua residua lunc, nimirum
  20. concinences, quae de asymprori linc hyperbolae P. FO: punctum au
  21. cem D Cic illud in quo parabole conveniunc; ex quo demictaneur DB,
  22. co
  23. LF, DI
  24. Iluem poltis:
  25. EBAF, FAOF, OACFI.
  26. Demonstratio.
  27. LeNC COa ALB D F LL. MHIICeE AC DB conuexam duplam eAsC concau
  28. AC DC A: sunc aurem ex hypocheli aquales parabolx AFDC, AC, DB, relidux
  29. iBITU ABDF, AODC aequales quoque lunc: quia vero tam AFDB cum
  30. AFDC A duplum eAt ACDC: ec rurtum ACDC cum AFDC A duplum
  31. AFD B, CTCS QUAnCIEATCS ABDF, AFD G A, ACD C aequales sunc: Sed per pra
  32. cedenrem xquales quoque lune P. F D, DF C, D IIC, residux igitur x quales lune
  33. ABEF, AFC A AO HC. Ouoderac demonctrandum.
  34. LROFOAILIO CEXVIII
  35. E cet parabola BED, hyperbolam G F. HI Vt
  36. Derius incer a(ymipeocos AB, BC consticuram
  37. in E, _ ducta BD hyperbolam sccecin F, para-
  38. bolam vero in D, ex D vero ducancur DO, DH
  39. Parallelae alymproris.
  40. Dico quancicarem mixeilincam DF F, ex pa-
  41. rabolica, hyperbolica e recta constancem, dimi
  42. dix parri ASuEX DCF. esse aqualem vel quarra
  43. EguFA DEH.
  44. Demonstratio.
  45. Ibeo de parabola propo L. 257. ostensum est A F D C parabolam conuexam duplam
  46. ExB enim e D ducacur parabola B FD ad axem BA.
  47. uamculde Lt tittid ttu, LL Patallela a
  48. CANEUT
  49. So

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 616. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0673?run=74