Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1080

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. 1080
  2. CONOIDES IILILERBOLICYH.
  3. Corollarium.
  4. TXperbolX OSR, ONF similes M, nam iildem concinentur asymproris per
  5. 176, 177. ergo per 17 4. Uimiles lunE.
  6. PROPOSITIO CEXXVLII
  7. Alccodoides cono aly piocou, ee hac sectio lG axi pa-
  8. ralletas quae recta sic ae pranu ABC ductum peraxem, extibens
  9. hyperbolam RL. C in conDLL, d sectionem B N H in conoide hy-
  10. perbolico: _ ducatur ONM P parallela lC Y.
  11. Dico quadratum OM excedere quadrarum ON codem excestu quo
  12. quadrarum lC excedic LHI quadrarum.
  13. Demonstraiio.
  14. DCdNAEE PlanUM R M S baHI DO F, Xqui.
  15. distans, extribebuncur duo circusi TNV
  16. _ RMS, Parallelicirculis AITC, DOF.
  17. erieque quadracum ON aequale TOV re-
  18. ctangulo: quadratum vero ON aquale re-
  19. ctangulo ROS. quemidmodum cciam qua-
  20. deacum TH aequale rectangulo AFC, et qua-
  21. deacum IC,aequale DTF rcctanoulo. (cd re-
  22. ctongula R T S,F CD, sunc excestus rectan-
  23. Suloru R OS, F FD, supra rectangulaTOV,
  24. CTA. ereo rectangula RTS, LCD criar
  25. sunc excessus quadeacorum OM, IC, lupra
  26. quadrata ON, ITI. sed rectangulum R TS
  27. 2guale est rectanoulo F CD, igicur eciam
  28. excessus quadraci OM quo exccdic quadex-
  29. cum ON, xequalis es excestui quo quadracit
  30. (O, excedic quadracum LFI. Ouodcrac de-
  31. Alupa in demonstracione rectanonta
  32. CD, excessus ese rectangulorum
  33. ROS, FID, supra rectansuta TOV, CIA.
  34. hoc aurem sic demonstro. rectâgulum ROS.
  35. xquarur rectansulis RT, OS e ZO, OS.
  36. Sed rectangulum TO, OS, aequacur rectan-
  37. suloTOV, _ rectangulo TO, V S, hoc est
  38. led recrangula R FOS, R TO aequantur rectangulo R FS. ergO recrangulum
  39. ROSaequacur recrangulis R T S, LOV. Ergorcerangulum R TS est difterentia
  40. monstrandum.
  41. bCoroll. 1
  42. hypert.
  43. reccangulorum ROS, TOV.
  44. bR FO. ergo rectangulum R OS Equarur rectangulis R FOS, FOV, R TO,
  45. ot sItIOCLXEIA
  46. Mnis lectio conoidis hyperbolici axiparallela exhibet hyperbolalu
  47. ottat eta PEF AXCII.
  48. Demora

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1080. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1137?run=74