Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 508

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: 0.87.

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

The machine reads it as

  1. con
  2. versa 47.
  3. aius.
  4. ad B, TII.
  5. A R A BOL 1
  6. PROPOSETIOCCCXXVII.
  7. Sco ABC parabolX diameter AD: astaC per A ContingentE AF,
  8. demictantur diamerri F. B occurrences parabolx in B, X AC in C:
  9. ponantur aucem ordinacim linox, HB: Hacq ve FCi ad F C, sicB, HL
  10. Dico puncta A, I, l esse ad parabolam.
  11. Demonstratio.
  12. (7T FG ad FC, sic AP est ad AF.
  13. id CA IIB ad HIB: igitur de FII est
  14. ad FTL, ve BHI ad BH: X HII quadra.
  15. cum ad quadracum TII, ve ITB quadra
  16. cu ad quadracum FIB id eA VE AHI linca
  17. ad lineam AEI: puncta igicur A. L, I 2d
  18. Parabolam lunE.
  19. PROPSSITIO CCCXKVII.
  20. C parabolx diametet AD aequalis laceri recto: ductaque or-
  21. punctis B, B, erigantur ex B diametti BF Occurrentes A P. linexe in C:
  22. hancque rectis AC aequales liex BF.
  23. DICOA, P, F puncta ese ad parabolam.
  24. adinacim C D perficiacur quadracum C A: Cumprilque in peripheria
  25. Demonstracio.
  26. VCaTE reCtA A C OCCUErCNS F B lineis in FTI:
  27. quoniam A D laceri recto x qualis eH, _ C. D OF-
  28. dinacim posita ad AD, reCtX AD, CD, aequaleS (UME:
  29. onde e rectae AO, EH quoque aequales sunC: e FL C
  30. linex aequales iplis F B: dempris isirur communibus.
  31. BC, manene ITB, FC linex aequales. Guare Li C est
  32. ad F G, DE BFI ad BFT; id CH vE AFIC a rectangu
  33. lum ad rectangulum AFFC, id cA A C: F rectangulum
  34. ad rectangulum AC F. puncta isicus A, P, F. ad pa
  35. rabolam Cunc.
  36. PROPOSITIO CCCXZIX.
  37. DArabolam AB C Subrendat recta AC,
  38. quar in D secent quorcunque diame
  39. cri BD: Franc aurem BD lincis prOPOT.
  40. tionales DI.
  41. Dicopuncta A, F, C esse ad varabolam.
  42. Demonstraio.
  43. L bD ad BD, H V. D elt ad. L. D, led cl
  44. ve BD ad BD s. Sic AD C b reccangulun
  45. ad receangulum A B C: ioitu d F, D Cstad R D.
  46. vE AD C reccangulum ad rcCEangUIUM ADC
  47. Quare AP C PUNCFA Cad parabOLAM CUME. OisEY
  48. Ce. sq B_ D R O.
  49. u i s e us se p t. e . e et s . t s 1 e e i e s e it se e e e ue e it

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 508. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0565?run=74