Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 423

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: 0.76.

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

The machine reads it as

  1. MOr
  2. Inc
  3. e
  4. n
  5. e A R. A B O L A.
  6. srm dmonstratio.
  7. Vulacur De eglals lulerirecto, ponaturque
  8. ordinacim C B: dieo B punctum vrum esse in-
  9. cerlectionis. iungatur BD. Ouoniam BO, CD
  10. ordinacim ponuntur ad axems et + D aequalislace.
  11. rirecto cAt, linca C. D. aeualis cA BD: circulus
  12. isicur ceniro D, incernallo DO descriprus eran
  13. sibic per B. eodem modo octendicur, cundein
  14. circulum crantire per R: quod vero perC
  15. ETranseac, anifectum est; extribuimus ipicur
  16. puncta quacuor incerlectionto. Quod erut Pacien.
  17. dum.
  18. LSlEd
  19. erdeositio
  20. sco A B C parabola ap ex A, CEntroque A, AICICan quouis A E cie.
  21. isculus deleribacur P. C. B: oporrer exhibere B punctum mccllectionis
  22. cum patabola. oeu citrio E) L) 11 eit S scB Z. esivin
  23. b.
  24. Constructio es demonstracio. Cine svp oricoi
  25. Id2 1
  26. DOutoe ALa AH aequalis laceri recto, Posica- l 11. 1139 bC
  27. que per A concinsente A Iua Tirculooccurracin e
  28. quadrato AC: hac aequale rectaroulum FITA; e per Tordi
  29. nacim ducacur I. B: dico punctum B, eAte id quod quaericur.
  30. iunsacur AB. Duoniam IB ordinatim applicaca est ad
  31. axem, _ AH linca aequalis latori recto, quacrato AB, b X-
  32. quale est rectangulum FTIA, Sed FII A rectangulum quo-
  33. que aquale cA quadraco AC, per constructionem; igieur
  34. AC, AB quadraca aequalia tunc. isicur circulus centro A
  35. inceruallo AG, delcripcus; eransir per B. exhibuimus ixi-
  36. cur punctum incerlectionis B. Juod erac postulatum.
  37. NOPOSITIO OXL.IV
  38. MIDMB HAE.LSRMESIB BHISEC
  39. A. A: oporcet exhibere, fulcum aliud incerlectous.
  40. Aneue
  41. Sto A BC parabolae diameter BD quam Ce
  42. ricunque recta quaenis AP, Occurrens parabolx
  43. andiid
  44. criss onstmtio es demonstratio
  45. 1102 315II
  46. Vcaur ex A linea AF, ordinatim ac dla-
  47. ecrum; fancque proporcionales BH, BB
  48. BI aPer D, ordinacim ducacur D C, OCCur-
  49. rens F linca in C puncto. quonium igirur
  50. BF, BE. BD, proporrionales sun et A B.l us uoru msgisi sis. H 2 S cemous
  51. ordinaum policae, punctum cC est ad patabo-
  52. LaM. Cieaucem ec C punctum in recta AF. 1gi:
  53. cur C communis incericcoe AP. CL CMM
  54. parabola. exhibuinas t.ac lactCadm
  55. s t o rp e ee eis pte ee
  56. ssise pes e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 423. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0480?run=74