Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 547

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: 0.81.

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

The machine reads it as

  1. et
  2. EesIr
  3. V1B
  4. 1Bc.
  5. IC
  6. 3De
  7. CTaS
  8. oni-
  9. din
  10. HXPE LBO
  11. ACa Sc hyperbola ABC cuius
  12. adem oporrec exMlibere: invenco
  13. cenero Ddelcribatur inceruallo quo
  14. dis, circulus AF C OCCUEFeNS hyPer-
  15. bolxe in A et C punctis; quibusiun-
  16. etis secetur AC bitariam in F, duca.
  17. curque DBF: dico D F axem essehy-
  18. perbolae: cum enim D F Cemidiameter
  19. circuli A F C. bitariam dinidac reccam
  20. AC, in circulo applicatams ad angulos illam secat reclos, adeoque de omnesilli pa-
  21. rallelassigicur cum e cenrro hyperbola, quoque eduera lic, recta B axis elt hy.
  22. perbolx ABC. fecimusigirur quod erac poltularum.
  23. Puncta intersectionum A ex C Geomerrice exhibebimus parte huius libri sexta.
  24. PR OP OSTTTO XKIII
  25. D dacam diamerrum in hyperbola ordinarim lincam ponere.
  26. Constructio es demonstratio.
  27. Constructio ex demonstratio.
  28. Acalicls Petbola ABC, cuus diamecer da-
  29. ea sE DB, oporcec illi ordinacim applicare
  30. lineam IK: diuisa D B bitariam in NI, PONRNEUE
  31. typerbolae asympeoci bDB, DFI: acEaque PEx
  32. Bverricem diamerri, recta P II, quae in B diuila
  33. Sc bitariam, Ponacur F. II, aquidistans F C1, Oc.
  34. currens sectioni in I _ K. dico IK lincamom-
  35. nelque illi aequidistantes bitariam diuidi à dia-
  36. ecro DB: cum enim F FI in B dinila RCbita
  37. riam, ipsique F FI aequidistec SC, eric se illa in
  38. E bitariam divila: Sune aurem d FL, cRC X-
  39. quales; igitur e religuae P I, L R incer se equales
  40. lunc; isicur IK linee omnesq; iIII a quidistances à
  41. DB diametro bissecantur. Applicuimusigitur
  42. ad diamerrum D B ordinacim lineam IK. Quod
  43. cactaciendum.
  44. otiui
  45. ROPOSITIO ZZIV
  46. caa yperbola e diamerte, appitalc dalal Lcltam ordinarim ad
  47. a a M.
  48. e
  49. constra
  50. pat u pete s. set tat t e t tt s itt e t et. sit ti t tt te a d t si

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 547. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0604?run=74