Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 500

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: 0.79.

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

The machine reads it as

  1. b0
  2. A R A B, OL A
  3. lum AB L., id est. (quia circuli concinsune sele In
  4. DEB RIncacA ad lineam B L. iricur ee quadea-
  5. cUM R O eIt ad quadEAEUIM L R. ve BK linca ad
  6. lineam L B3 (Cum L. R, RO lincas aequales sine
  7. BD, BF) eodem irodo ostendieur AIS quadra-
  8. cum eAlc ad quadrarum NVT, ve BM linea cA ad
  9. lineam BN, e sic de exceris: puncta isicur B, O
  10. R, Si L, dec. sune ad parabolam. A B ergo lacus
  11. FeCtuM EAE PAFEE, CUM SeMPeT QUAdFACA D R, R R.
  12. 20. aGuacta sinc rectangulis super X B, B A, L. B.
  13. Corollarium.
  14. Inc Facilis pacer praxis, producendi in infini-
  15. cum parabolam, priori mechodoortam: cum
  16. enim in infinicum mulciplicari postine circuli illi
  17. concingences, e BC linex procendi, porerir quo
  18. que in intinicum concinuari praxis qua prius para-
  19. bolam produxi; ade09: eadem pacerie in intini.
  20. pureta t ee a parabolam cuiustacuo rectum AC.
  21. A
  22. ec
  23. eROPOSITIO CCCIX.
  24. Sco AB C lemicirculi diameter AC, aet a G. per A COnFInSENTC AD
  25. ducaneur ex C linex C BD, occurrences concingenciinv, Cemicir.
  26. Dic
  27. culo in B: dein ex D normales demictantur DP quas in P. secene linca
  28. 3y A∞ B9).A SEBA MX eutvol1097)V I
  29. t
  30. Demonstratio.
  31. calucaerq dem hor. otilu
  32. 1
  33. C1D3HC S1
  34. b5. 14
  35. 125. 1
  36. 13
  37. onstrandum.
  38. dmancus enim, e, L aequidultances AD.
  39. quoniam AD contingens cran(IE Per A
  40. exeremum diamerri AC, angulus C AF
  41. Drectus est: Scd e angulus quoque AB C in
  42. Semicirculo rectus est, criangula ivieur
  43. ABD, ADC similia TuNE: QuIA vCxOF. D.
  44. OTorinalis est ad AD, ex D B normalis ad
  45. Al. criansula A DB ad ADP limilia
  46. i
  47. quoquelunc. scd ADB limilc est criansu.
  48. l0 CAD, criangula isitur ADB, ADC
  49. limilia quoque lunt. Quase l. D ad I A, Vt
  50. DA ad A C. adcoguequadraco AD id ell
  51. CFF aequale rectangulum L. D AC lid ct
  52. er SeP F AC. vnde, BR quadracum est ad qua
  53. macue. deC cccateltum ad re
  54. ctangulum E AC, id eA ve F A linca ad li-
  55. neam F A. Puncta igitur R, P, P. Cunc ad p2-
  56. rabolam. AC xero latusrectum elle patet
  57. h eBarOS B~ AB eilarRIOA SI
  58. 1. c. 1P L5: B. CL ET sEBBBZBEVB St A CI.
  59. varissor BA C tHBACHSBT SE A SV P RO.
  60. ( t t o e s e e i e . . i t a e t. . es e e p. t t e . e t .

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 500. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0557?run=74