Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 942

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. PROPORFIOHALLLATFS
  2. Demionserati.
  3. DOnacur incer A ad B, me-
  4. dia 1, ex similicer incer B. C
  5. media ponaeur K. Deinde Aac
  6. ve D ad F, 1Ca F ad C
  7. V
  8. I ad F, ica C ad H. Duaniam
  9. igicur rario AB duplicaca est
  10. camracionum AI, TB, quam
  11. racionum DE, E C crunera
  12. ciones AL, IB, cxdem cum ra.
  13. cionibus DF. F C. Pari argu-
  14. meneoraciones BR, KC cum
  15. racionibus F. F, GH exdem
  16. Sunc. rationesigicur AC, DH
  17. ex iiidem racionibus (quamis
  18. diverlimodc dilpoliis) compo-
  19. nuncur, ac proinde a aequales
  20. TunE. Sed racio D H est duplica.
  21. DF, vei Facile de ducitur ex consructione. ergo de rario AC est dupli-
  22. alarationis D F. Ouod erac demoerandum.
  23. Corollarium.
  24. Inc colligicur idem esse pronuneian.
  25. dum de quavis conrinuarione ter.
  26. minorum quod peacedenci proposicione
  27. decribus est dictum: nam A hac rario A
  28. ad B duplicaca CD; X B aet R duplicata
  29. DB, _ F. C, CI duplicace FHI, HIR: in-
  30. Ferri etiam legicime poccle, quod rario A
  31. 2d I sc duplicaca eius racionis quam la-
  32. bec C ad K quocunque candeim numero
  33. termini constiruancur:
  34. Imo quod de duplicata rariotie prae.
  35. sens proposcio enunciar, criam cM incelli-
  36. sendum de criplicari, ousdruplicata,
  37. quineuplicata, et sic de quavis alia mul.
  38. ciplicaca ratione respectulimplicis rario-
  39. nis C ad D, D ad F, _c. quod manifesté
  40. collisetur E dilcurlus demonstrationis
  41. cerminis illius mulciplicacionis apCCTUI.
  42. ae u ut it ete
  43. Ine quacuor numeto quancitares A, B, C, D, _ rario A ad D, suppo.
  44. nacur compolica eAe ex rarione duplicara A ad B, et ex ratione B
  45. l
  46. Dted tarioneta e ad t catidem elte elta talionee ad L.
  47. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 942. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0999?run=74