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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 495

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. Keur.
  2. AB
  3. S,T,
  4. lA
  5. X hy.
  6. EAD
  7. IHO
  8. EAH
  9. Ou
  10. igieur
  11. N. A.
  12. pro.
  13. AR.
  14. SiLP.
  15. BC.
  16. BuEm
  17. alum
  18. arum
  19. BB
  20. rSula
  21. AF
  22. Lol
  23. le
  24. inex
  25. 2
  26. ve
  27. Cum
  28. ecta
  29. se
  30. Had
  31. tra.
  32. 1
  33. D.
  34. P AR A BOL A.
  35. PR OPOSTTIO CCZOIZ.
  36. AEmicireulum ABC CCCEF
  37. Dorthosoalicer in D di2-
  38. meeri dux AC, BD. Pona-
  39. cur aucem FE linca parallela
  40. AC: dem lumpris in AC
  41. punctis FF, Cliganeurnorma-
  42. les FE, OCCMILenTES PF linca
  43. in C, Cemicheuto in C6. Fane
  44. ducem proporcionales F F:
  45. Dico H, E, C puncta este
  46. CF, ElF.
  47. adparabolam.
  48. Demonstratio.
  49. Vn enim proporcionales sine
  50. FL, OF, HIL, eric vequadra-
  51. cum FC ad quadracum F C, SC AC
  52. EFH rectangulum ad rectangu-
  53. lum FF FI: led F: F FT rectangula illam inter Sc habent FatroneM, quam MnCx LIF,
  54. igicur ex HIF linex lunc re quadeata CF: id est Ve AF C rectangula, puncta ixieur
  55. H, FI, C ad parabolam LunE.
  56. Idem conringet in ellixsi, si A C. B D diametri ponantur coniueata, et F. F aequi distantes
  57. ipsi BD.
  58. P ROP OSIFIO CCC.
  59. Fomentum circuli A BC subrendat recta AC, quam in D Sccent
  60. quorcunque D F, parallelae contingenti F. G per A ductae: Rac au=
  61. cemi vE AB ad AB, sICD F. ad DF.
  62. Dico A, E, F. puncta ese ad parabolam.
  63. Demonstratio.
  64. Vngancur AB, B C: quoniam FG contin-
  65. oens eR, angulus C AG equatur anoulo
  66. ABC; sed angulo C A C: aequalis est ansu-
  67. IuS ADB, quia F G, D F xequidictane; an:
  68. suloigicur ABC aequalis est anguluS ADB;
  69. ex crianpula AB C, A BD, Cimilia Punc. qua-
  70. ReVE AD ad AB, lic AB ad AC; _D AC
  71. rectansulo aquale est quadratum AB. qua-
  72. dratum isitur AB est ad quadratum AB, vE
  73. D AC rectangulum ad rectangulum D AC.
  74. id cst v= D A linca ad lineam D A: sed AB
  75. quadraris aqualia sune quadrata DF,, qua-
  76. drata icsieur D P eam habene rationem, quam
  77. obcinenclinex D A. quare AF, C puncta ad
  78. parabolam CuNF.
  79. eRO:
  80. rit

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 495. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0552?run=74