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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 461

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: 0.84.

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

The machine reads it as

  1. D
  2. C.
  3. tem
  4. DM.
  5. si
  6. um
  7. 49.
  8. c0
  9. co inlcribipollune. e concra li criangula AFD, BLC. tuerine maxima,
  10. dico FF aquidistare AB.
  11. Demonstratio.
  12. ronium AB, CD. FD aquidi
  13. LstanE, recta LI a XQUaTUF RF,
  14. adeoquecriangula F AI, F ID aequa-
  15. lia sunc criangulis, RBP, RF. C: l
  16. igitur AFD criarisulum non sIC
  17. maximum, sic aliud ACD, maius
  18. triangulo AFD: Policaque CH P2
  19. rallela AB, iurgantur BHL C: octen-
  20. decur veprius, criangulum BIIC, X- 2
  21. quari criangulo AGD: sed ACD)
  22. maius est criangulo AFD, id eA ve
  23. octendi, B F C, criangulum isitur B FFC maius quoque esteriangulo D F C: quod
  24. est concra hypochelm. non ixicur AOD criangulum mantaum cM, sed AFD.
  25. Duoderat primum.
  26. Sinciam A F D, B F. C triangulamaxima, dico iunetam E dequidistare AB: GIM
  27. vero; ponatur FHI aequidictans AB, iungancurque BFIC: celangulum igitur BFIC
  28. maximum est eorum quae BF C seomento inlcribi possune, adeoque d maius BF. C
  29. criangulo, quod abCurdum: non isitur P II aequidiltar AB, sed L L. uod cracde
  30. monstrandum.
  31. Ouod si A B contingat parabolam,
  32. eadem inferri portune qua prius, cadem
  33. quo prorlus est demonstracio.
  34. rectir
  35. PROPOSITIO CCXXIXS
  36. in
  37. Seo ABC parabolae inscri-
  38. spcum erianculum maximum
  39. ABC.
  40. Dico illudmaius elle dimidio pa-
  41. rabolae AB C. vt. 1ur
  42. Demonstratio.
  43. Dersciatur rectangulum ACF; manifestum
  44. idieur est P C parallelogrammum maius eNe p2-
  45. Fabola AB C. igieur e AB C criangulum, dimi-
  46. dium scilicee parallelogrammi P C maius est dimi-
  47. dio parabolae ABC. Ouod erac demonstrandum.
  48. PROPOSTTIO COXKAS
  49. TIcad ABC parabolae diamerrum AB, polIra OEdinatim C. D; IuL
  50. aAtaq AC diuisâ in P bitariam, ponacur diameter B F iunganeurque
  51. AB, CB.
  52. Dico CA D crianeulum quadruplum esse rriansuli ABC.
  53. B2
  54. D A R A B O L A
  55. Dico AF D criangulum, illorum esse marimum quae AFD Termen-
  56. MA 3
  57. Demon-
  58. a 1 e e d 1 a 5 s ee e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 461. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0518?run=74