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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 195

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: 0.80.

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

The machine reads it as

  1. at
  2. AI
  3. eeud
  4. iunde
  5. n
  6. sula A
  7. indon
  8. Pertet
  9. X.
  10. _C
  11. Clla
  12. 1c64B
  13. ndenter
  14. reus AB
  15. nEesE
  16. 5
  17. IRC
  18. CIR C Y L Y S.
  19. IRCVLORVM
  20. L R S SF C V ND
  21. De Anculorum es arcuum circularium comparatione.
  22. PR OPOSFFIO L.
  23. Irculum AB C, cuins diameter AB, ContingaE in A reCTa AF, in
  24. qua alsumpto quonis puncto F, Bonatur F C continsens quidem
  25. circulum in C, occurrens aurem diametro AB prorractae in D, iun-
  26. ancurque C A.
  27. Dicoangulum C F. A duplum este anguli C AD.
  28. Demonstratio.
  29. DET CENErUM P dIAMCTCF PONaTuE C C: Ouo-
  30. niam ED circulum concingit in C, & C
  31. diameter est, eric a angulus C CD rectus, adco-
  32. que angulo F. AD aqualis. est aurem angulus
  33. E. D A communis criangulis CFD, FD A: igieur
  34. CFD angulo, angulus AF D aequalis est. sed
  35. angulusb C FD duplus est anguli C AD, igi-
  36. cur ex angulus AF. D, eiuldem C AD duplus
  37. eM. Duod erac demonstrandum.
  38. PROPOSITIO LI
  39. Slumpris in perimerro AB C, cribus arcubus xqualibus, AB, BC,
  40. CRCD, ducantur per duo guaedam puncta F, E, FeCtX AF, BF, C F, e
  41. BE, C F, DF, occurrancque in C, H, I.
  42. Dico angulos I, HI, C, inter se aequales esse.
  43. Demonstratio.
  44. DOnantur ex puncto H, reax F. R, Ll
  45. B MI, quae aequidistene lincis AF, BP, CF.
  46. eruncicaque anguli R B B, I. E C, ME D, X.
  47. quales engulis L, FI, G; quia vero arcuS AB.
  48. BC, CD Ponuntur aqualeS, _E AR, BL, CM
  49. arcus aequancur arcui F F. ad eoque d inter se,
  50. reliquiguoque arcusRB, L C, ND, ex anguli
  51. RF B, LEC, MF. D illis insiltences xquales
  52. sunc: quare de anguli L, F, C, Cuntinter (C x qua-
  53. les. Duoderac demonstrandum.
  54. 1
  55. cerriu
  56. 6b
  57. PRO.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 195. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0252?run=74