Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 598

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: 0.83.

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

The machine reads it as

  1. AIY P F R BO L Ao
  2. Constructioes demonstratio.
  3. FTaE A C cerria proporrionalis, ad duas primas AB, AC. Dieo C. pundum esse
  4. quod postulatur. Frisa ex s normalis ATI, delcribacurque hyperbola IRL,
  5. cuius asympeori sInE A FI, A C: de AHI quidem xquidistances ponaneur ex punctis
  6. 7+. huins. B, C, D, Fn Fig Cr. Ve AB ad AC, a sCRC est ad IB; _ FD ad RC, vE AC
  7. ad AD: Sedracio AB ad A C, auplicara est racionis A C ad AD; igicur _ Fa-
  8. eio RC ad TB, duplicaca eA rariOMS ID ad RC. Similiter ratio MF. ad L D,
  9. duplicaca est rationis NF ad HL, dec. Sed planum BK corles concinec planum
  10. CLbquociesratio IB ad KC, mulciplicacrationem R C ad T. D. Duplum isi-
  11. cur est planum BK, plani CP. limilicer CF planum duplum est DM, e hoc
  12. c78. hu. duplum plani F. N, _c. Progleto isicur hlc est planorum in proporcione dupla.
  13. Ouia vero AB, AC, AC lunc proporcionales, crunE C XO C, KC, IB con
  14. cinux: ergo cumraris B L ae duplicaca sicracionis BT, ad CK, planum 10
  15. duplum est a plani BK, quod elac primum in Perio planorum proporcionis duplxs
  16. 85. De Aequi cocaleriesmasemmum prepbrcionis duplxc dupla est prime magnicudi-
  17. nis. Ergo planum TG aquacut cortleriei planorum BK, CL, D ME _C. hOC CATeF-
  18. minus progressionis planorum est linea OC. Ouare et seriei linearum AB, AC,
  19. AD, _C. in proportione ante posira continuaex que proeressionem planorum sem
  20. per comitatur, cermihus est C. Exhibuimus isitur, ec. Quod erac taciendumn
  21. PROPOSITIO CXXXIL
  22. DOnatur icerum ratio BC ad BD, duplicata BD ad BF; _ racio
  23. 5.
  24. Constructio eS demonstratio, ilqu
  25. futac BL CerEia ProPOrtiOnalis de
  26. BD, BC. Dico L cerminum
  27. esequae sicum. Frecta ex B normali
  28. ad B C, delcribatur txperbola
  29. GFTT, cuius alympeocilinc AB; BC.
  30. ec AB quidem aequidictances P0.
  31. mancor Cer, DHI;LL, ER, LM. V
  32. BC ad BD; EAC HTD est ad G C,
  33. ae LL de AD, ee BD ad BF. lc
  34. broprestior
  35. B129. h1
  36. Ius.
  37. iasu
  38. du
  39. BD ad BF duplicaca rarionis BF ad BF, _C.
  40. r31
  41. Tacto BC ad BD. duplicaca clera
  42. Oporreae terminum putus proerestionis extibere.
  43. er cado. cionis BD adt BF, racio ixirur HID S ad C C duplicara quoque est racionis 1 1
  44. l
  45. eC S a S C E B0 10 2022a Ea 25 3C et 120

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 598. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0655?run=74