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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 501

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: 0.82.

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

The machine reads it as

  1. B.
  2. 1d
  3. ini.
  4. D
  5. ir.
  6. ex
  7. d
  8. FA
  9. AD
  10. Cin
  11. icue
  12. dll.
  13. atet
  14. O.
  15. P A R ABO L A.
  16. PROPOSITIO OOOK.
  17. Scocirculo ABC inscriprum rectangutum ABCD, ee vnilacerum
  18. AB, duax parallela E GHIF: RanE aurem CHI, HIF, FI prOPOF.
  19. clonales.
  20. Dicopuncta B, 1,D esse ad parabolam.
  21. Demonstratio.
  22. Voniam eAt ve GTI ad FTF, Sic
  23. LHIE ad FI; eric componendo
  24. invercendo ve CTF, id est F FI, 2d
  25. GH, sic HIL ad HIF; rectanoulo
  26. igituE B C F, id eA PHF, aequale
  27. est rectangulum CrFII. e C HIro
  28. cangulum ad rectangulum CTII.
  29. DE R HIF rectangulum ad rectanou
  30. lum R FI F, id est BFTD ad BFTD,
  31. rectangulum; sed GFII rectandu-
  32. lum est ad rectangulum GTTI VE
  33. HT linca ad lineam HI; isieur ve
  34. BHD sectangulum ad rectangu-
  35. lum BFTD, SC HI linca ad li-
  36. neam HII. puncta igicur BID ad parabolam suns
  37. PROPOSTFIOMCCCZI.
  38. Nscriprum siccirculo A BC rectangulum AB CD, ductisque vnila-
  39. lcerum D A parallelis E GFIF. Fanc L. C F rectangulis xqualia rectan.
  40. gula HIGIE.
  41. Dico puncta AR B esse ad parabolam. c 4
  42. Demonstratio.
  43. ()T EOF rectangulum est ad rectangulum P. O F, CC
  44. AC, B reccangulum est ad recrangulum ACB: igi-
  45. cur e HIGK rectangulum eAt ad reccangulum HICK ve
  46. AGB ad AGB, reccangulum. Sed HICK recrangulum
  47. estad rectangulum FLC K ve CK linea ad lincam GR;
  48. igicur ee AGB recangulum est ad recrangulum, A C B,
  49. oc CK linea ad lincam CR: puncca isitur A, K, B ad P 2-
  50. rabolam sunc. Ouodcrarostendendum.
  51. PR01061111 1BCC 1.
  52. De bo e3i3 cmr
  53. Nlcripcum sic icerum roctangulum AB CD
  54. Lcirculo AB C, ductag; laceri B C paraHetaFF,
  55. quae circulum concingac, ponantur recta OHI
  56. aequidistantes laceri AB: hancque Ca lL. rectan-
  57. oulis, aequalia rectangula FVIAI. L LWVABS SI
  58. Dico A, M, D plncta esse ad pacabolam.
  59. et HC sacit tor sost et 1L 31.LL. P c
  60. d
  61. ec reit
  62. RFF
  63. dE
  64. avq eL
  65. Demon.
  66. e ttute et te te te e t t t et tee et se e e tt t e d tt tt de tut t

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 501. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0558?run=74