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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 658

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: 0.86.

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The machine reads it as

  1. DROPOSTTIO CCXLII.
  2. Aca sc parabola ABC, et eiusdem alcicudinis hyperbola A DE,
  3. habenres communem arem AF, ad quem ordinarim polirx sinc
  4. B, FD
  5. AIY PE R BOL A.
  6. Dico quadraca BFs. Ltur cumpla producere hyperbolam.
  7. LXCOn
  8. bLX29
  9. buius.
  10. rab
  11. Demonstralto.
  12. rsacor. DOnatuT ex A linea AG OCCurrenS F D lineis in C C, A C paraIICIAFH, ve
  13. LFCIT rectansula aequalia sinc quadracis F.D: Parec: HFL eAe in directum. Rane
  14. icerum F B quadracis a qualia rectangula GFP: conat qusque IY eNc rectam
  15. lincam. deinde IK rectae aquales tiane F. C; patel u RK elle rectam lincam, re-
  16. aangula igitur IX F aequalia sunc quadraris BF. _ IK L H rectangula aequalia
  17. quadracis fi D. ondc IK HIrecangula aquancur quadialus BP. LD. liaucemIKII.
  18. perbolam. uouctaedemerandum.
  19. rectangulis aequalia ponancur quadraca RI, puncta KL I ad hyperbolum lunc, igi
  20. cur ( B F, F D quaclacis a Guatia Pertanul suacaca, paret illa quoque ello adhy.
  21. Onacurellipleos axis maior AB, Cs CentoD, potitis quoruis diame
  22. ErIS DE, hanE F F PAallela DC diametro coniugaca AB: e Ranc
  23. Dico CG eAc ad casdem Hy perbolam cuius cenerum D.
  24. Demonstratio.
  25. PROPOSITIO CCXLIII.
  26. Glane rectis FC aqualeS FK
  27. describatur circulus luper
  28. axc AB, _ PerhciaC
  29. quadra
  30. cum NFI, cricicaque rectangu
  31. lum IF L ad IRL,
  32. rellansa
  33. lum quemadmodum cstc rectan-
  34. sulum 2FP ad O R P, rectan.
  35. eulum hoc estrequadratum FL
  36. 2d F F. quadracum. vnde re est
  37. FF quadracum ad quadratum
  38. FF, ica smilicer est ET GHI re-
  39. aangulum ad rectangulu FTON
  40. cum ex constructione DF An
  41. quales L LL VEL X H, et alCeL
  42. QuadTaTUM
  43. aquales F C Vel FK, _ DI
  44. rectis DL, a Guales P, FC.
  45. ut ss ee e pe es et et t e et et e e e t e t e e s. t e se s s e e te e e te e e t e e s ti e e t te et s ltt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 658. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0715?run=74