Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 128

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: 0.84.

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

The machine reads it as

  1. ni
  2. PR O GR F. 3SAOHL.
  3. Corollarium quintum.
  4. TIIdem positis intero quinco: si Fuerir progressio AB, eec. similium magnieudinum
  5. mis. interolat lolao teteo a a Cattabetac e lat plt
  6. cermini AB d d.
  7. icenque alia prooressio similium incer se magnicudinum a. (, y, d, ec. uc similes illae
  8. Tnccerminis alcerius siue dilsumtes; il duce ploslemoreraque ciuldem proporcio-
  9. 152
  10. Demonstratio.
  11. eto
  12. 1
  13. DEr Corollarium secundum series A R, est ad seriem B K, ve AB ad B C: Scd ex
  14. BVPOTheR AB CK ad B C; vea adB; ergo series A K est ad seriem BK, ve a ad 6,
  15. hoc estper idem corollarium ve series aZ ad seriem βZ. Igicur per conuersonem ra-
  16. tionis series AK es ad AB, vescries aZ, ada: e permutando series AK est ad (e-
  17. riem aE Ve AB ad a. Quoderac demonstrandum.
  18. Corollarium sextum.
  19. l Quamquam hactenus solum aMampserimus progressionem planorum, corpo-
  20. rumve similium Cmilicer que poncorum, non est camen quod existimet lector, que
  21. hactenus demonstraca sune non subsistere, E planorum aue corporum non similium
  22. Racuatur progressio, eadem quippe verobique, ve cuilibeerem expendenci manite.
  23. Rum est, et vericas est _ vericatis demonstrario. idcirco aurem Aguras similes aNu-
  24. mere placuic, quod ex rlus earum frequentior, ee magis unc ad demonstrandum ac.
  25. commodaca.
  26. Ex his hunc in modum demonstracis manifectum est progressionum proprierates,
  27. secunda parte explicatas progressionibus magnirudinum in directum policarum, quas
  28. deinccps prolequemur, non minus quam aliis convenire: ac proinde propoliciones
  29. superioris parris in quibus ille tractancur, prorsusrniversales esse. Juare has deincep.
  30. vei revera cales in sequentium cheorematum demonstracionibus citabimus. n
  31. PROPOSITIO CXXIV
  32. cit.
  33. TALR CINE PFONOTCHHALES EDHCMUX AB, BC, C:Vd, _c. 8 Cuper ij5
  34. constructa plana limitia
  35. Dico plana esse in conrinuaanalosia: ex si plana deneur concinue pro.
  36. Portionata.
  37. Dicoetiam bales Fore continue proporrionales.
  38. Demona
  39. . u t is t s e t e it e 1. e t e e i p t a u a a l 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 128. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0185?run=74