Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1076

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: 0.90.

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

The machine reads it as

  1. 2076
  2. CONOTDES HIYPBRBOLLEVU.
  3. Demonstratio.
  4. Ccurrac planum DF F ad angulos obli-
  5. quos axi BC. Dicolectionem D F F et
  6. lipeicam esse. Donacur planum. A B C per aXeM
  7. BC quod sic rectum ad planum DB F, exti.
  8. bens communem incersectionem D F, qux oc.
  9. currac axi in puncto quonis FI, crectâ deinde
  10. normalicet IIF ad planum ABC hac sectio
  11. per HF parallela bali ATO, SCIlICCE RFL
  12. quae erie circulus. deinde ponatur planum
  13. MNO, bali quognexquidistans produces cir.
  14. culum MNO ac Signanscommunem incerse-
  15. ctionem cum plano DF F rectam PN. crie
  16. aigicur PN parallela IIF, ac proinde b recto
  17. C plano AB C. quia ergoram FIB, quam PP
  18. lunc rectae plano ABC, deknic. 3. vndec. crie
  19. TTE normalis ad DF, RL; _ P N normalis ad
  20. DF, MO; 2c proinde HIF, PN sunc ordina.
  21. c158. H EIm POLICE ad axem D F, SCCLIOHIS DE F, _E quadEAEA HIB, PN rectangulis RHIL.
  22. MPO aqualia: sunE. Deinde ostensum eAtc rectangulum R HI L. ad M PO, candem
  23. habere racionem, quam rectangulum DHI F ad D P F rectangulum. igitur, cum
  24. rectansalis RHIL, M PO Paria sinc Guadraca ITB, PN, eriam quadracum FIF ad
  25. PN quadracum eandem habet carionem quam rectangulum D IIF ad D P P rC.
  26. ctangulum. Ouare lectio DE F elliplis est, cum linea HIB aequalis siICHIK, recta
  27. verO HF maioc H L, Gvc HIL.
  28. v
  29. inc..
  30. peraxem conoideos. ls pelbolam exhibet.
  31. RODOSIEIO CLZZII
  32. Mnis sectio consideos qua cran (eacper cenitum hyperbolae Facta
  33. Demonstratio.
  34. le conoides ABC, cuius sectia peraxem
  35. habeac pro cenero punctum D, Per quod
  36. adacur planum DBC. Dico BF. C esle hy-
  37. perbolam. Hac enim per axem DH sectio
  38. quae lic rectaad planum BP C, Eeque id pla-
  39. num AB C, cric isicur DI communis inter-
  40. sectioplanorum ABC, X BF C, diamerer in
  41. lectione ABC: assumpeis aurem punctis R
  42. SE L in dIAMEEEO D I, CrIGANEUERP, LF nOr-
  43. maliter ad planum AB C. crunc ixicur bX li
  44. nex in plano BE F quod orchogonalicer pla-
  45. no ABC insistic; posicis deinde in sectione
  46. ABC ordinacim rectis OLP, M K N ad cI-
  47. mecrum DI, hanclectiones per R P, L. Li qua
  48. baA ACC aquidistenE occurrences plano
  49. ABC, secundum rectas O R R, TLS. cun
  50. ipicur defin. Z. vndec. rectL R L, L F HOTImales
  51. linc diamerris circulorum OE R, LF S, CrUnE
  52. quadraca R L, L E rectangulis RK O, SLL
  53. xqualia. cririgitur re rectangulum RI il
  54. S, ITa quadEATUI R E ad L F quadra-
  55. cum

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1076. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1133?run=74