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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 464

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: 0.85.

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

The machine reads it as

  1. 17. bouius.
  2. 19. truoins.
  3. c 15. tuius.
  4. d Exe
  5. 1
  6. .3 toi
  7. P AR ABO
  8. emonstratio
  9. DOnaEuF ReCtA A C, OCCUETENS F B productx in C.
  10. quoniam FC continsens cA, ex CD ordinatim
  11. applicara ad diamerrum AD, 2 recta E A, AD, adco.
  12. que _F F, F C aqualessun: est aurem vE F, Fad F C.
  13. sic AG ad GC, (cum FG, F D diameeri b aequidi.
  14. ACnE;) linea igituE A C in C Bisfecta est, adeoque
  15. TIT cContingene parallela. vnde F C, F A linex in B
  16. _ II, bifariam quoque sunc diuila, d A F C criangu-
  17. lum d quadruplum crianguli FIIL: CA aUECM F AF,
  18. aequale criansulo PAC, quia FF, CF linex aequales
  19. sunc, ixicur et E AF, quadcuplum est crianguli FHI L.
  20. Duod erar demonstrandum.
  21. PROPOSITIO CCXZXV.
  22. IIE ad AB C parabolx diametrum BB, or-
  23. dinacim axplicata A C, Policilq Per A e C,
  24. contingentibus quae diamerro B D occurranE
  25. in E, ducatur per B, contingens, quae AF, C F. lincas lecer in FX C,
  26. diamerri deinde ponantur F HI, CI; _ per HI & I, contingences L. IL, MN.
  27. acque idem line termino conntue.
  28. Dico figuram mixtilincam AF. C, B A, xqualem esserori criangulo.
  29. Famleriei.
  30. Amanstratio
  31. Tenim non sic _ qualisi ma
  32. Tor igicur vel minor ve sc
  33. necesse est. Sic primum Agura
  34. Mlacilinca moior triangulo
  35. rum Cerie, excessu quancicatis
  36. O. Ciangulum FPG maius
  37. cest dimidio Agurae concaue
  38. ALCB A; Emilicereriansula
  39. T. FR MCN maiora Cytie di-
  40. meliis mixcilineorum quibus
  41. inscribuncur, ee id lempet ACt
  42. imixtilinCO F AF C B A quan-
  43. cicas data minor, ergo ex mi-
  44. noc quancicace
  45. cessus non est, quomixtilineum A F C B A excedietriangulorum Ceriem: igieurnec
  46. illud seric eora maius est. similicer ostendetur AF C. B A Eguram minorem quoque
  47. non ese cora criangulorum seric. aequalis igicur velenecesse est. eiloc.
  48. AB LuBNOA PROPOSITIO CCXX X p ucna
  49. Adem MaBeM HB UCd.
  50. Dicoparabolam concauam AE. C B ad criangulum F L. C, eam
  51. proporrionem habere quam quacuor ad cria.
  52. isicur per ablacionem illam
  53. continuatam, relinguceur ex
  54. Denton
  55. Er. decimio
  56. ( te s tt . t1 A 1 t. st e t A . e . 1 1 s 1 1 A 1 1 t e 1 1. 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 464. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0521?run=74