Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 210

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. mu mmppnem
  2. DLR, OV, L
  3. 5.
  4. AF FC Vna CUM reCtanGAL AFD bis Tumpto:
  5. 11.
  6. AE B rectingulo bis Cumipeo, aelari quadratis AF, F C minus AFD
  7. Ouod si aurem alceta ineta aleam circuli callar, alceta CKITaS dico
  8. quadeara AF, LC e l B lectansulo bis Cumpro, x quari quadratis
  9. 5B Sii
  10. o. Dem onstratio.
  11. 2 21s c
  12. Lenim CAdAE CB, CF, inea aream temi-
  13. circuli, constitucne angulos obculos, AFC.
  14. AFC, Cum ABC, ADC recti unc, unde
  15. per clementa quadrate AP, P C, cum rectan-
  16. Bulo A B B, bis CumpCO, QuadrREO AC aqua
  17. lia crune; sed cidem AC quadrato aequalia
  18. (IINE AF, F C, quadrata una eum rectangulo
  19. A E D bis Cumpro; igituE qUIadEATA AF,, FC
  20. cum AE B rectangulo bis sumpro xqualia
  21. sune quadraris AR, FC una cum rectangulo
  22. AFO bis sumpeo. Ouoderacprimum.
  23. Si vero CF, C, F exrra cadane; Pater angU.
  24. lOS AF C, AF C eNC ACUTOS : quALE tam
  25. quadraia AF, FC minus rectansuIO AL B
  26. bis sumpro, aequabuntur quadearo AC; quam
  27. quadraca AF, F C minuis AFD rectanigulo
  28. bis sumpro: unde vericas secunde parris quo
  29. que manifesta est.
  30. Parris cerrix demonstracio ex anre dictis
  31. clare pacer; isitUI, XC, Duod erat demon.
  32. Aranaum.
  33. eROEOStTIO LXXXI
  34. BC triangulum iuatibatuE ABC, 2 cujus verrice 2d
  35. Dico ADC rectangulum. _ lcclangulum ABC; denique quadra-
  36. Demonstratio.
  37. EA A F, F C, rnacum rectangulo A E B bis CumPtO, aquari quadratis
  38. bis lumpeoi
  39. Si vero extra circulum occurrane, dico quadrata AE, F. C, minus
  40. AF, FC minus rectansulo AFD bis lumpco.
  41. cum AC in concinua esse proportione.
  42. cum demictatur verpendicularis BD.
  43. Vadracum A C cIF 44 FCCLAIISCIII A BC, hbC ett
  44. AC BD rectangulasu ve b AC, ad DB: led a
  45. est rectangulum ADC, re AC 2d BD, igicur con-
  46. cinvane candemlarionem A C quadracum, rectangu.
  47. lum ABC, rna cum rectangulo ADC. Duod tuir
  48. aeonaha
  49. rectangulum ACBD es ad quadracum BD chOC
  50. RC.
  51. p e ete en et ee e t e e e e i sa a at que

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 210. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0267?run=74