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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 215

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: 0.89.

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

The machine reads it as

  1. HC.
  2. 161
  3. Otit
  4. est
  5. t
  6. CIR CV V Y Si
  7. propolicionis Archimedex vericacem de comparacione circulladrectonsulum a X
  8. quale alirer hinc porse demonstrari.
  9. PRODOSEDIO ZO.
  10. TatHeCtO CtCai A BC insistac ad rectos angulos recta B D, iungacut-
  11. Dicorectansulum ABD, ad A C D rectangulum rriplicaram eius Ha-
  12. bererationem, quam obcinet linca DB, 2d DC lincam.
  13. Demonstratio.
  14. Via DB normalis est ad dlame.
  15. Ltrum AC recta CB, BD, B A,
  16. icem CB, CD, C A per clemenca
  17. in concinua lune analogia, onde cum
  18. prima BC verique seriei communis lE,
  19. eric 2 eacIO AC ad AB cerrix ad
  20. cerriam duplicata eius quam habet secunda CD; ad D B SccM LCAFAEIOFC, sionibne
  21. Etanguli AB D, ad rectangulum AC D composica cA ex ratione AC ad AB,
  22. hoc est duplicata D C, ad DB, _ exrarione D C, ad DB, parecigicur rationem
  23. ABD rectonguli ad rectangulum ACD; triplicatam cAC linex D C ad DB. Juod
  24. fuir demonstrandum:
  25. eR OP OSITIO ZCI.
  26. Emicirculo ABC criangulum inscribatur AB C, ècuius verrice ad
  27. balim demissa Bcnormalis BD.
  28. Dico rectangulum D AB, ad DC B rectangulum, criplicatam rario-
  29. nem habere eius, quam linea AB ad BC.
  30. Demonstratio.
  31. um enim BD normalis sic 2d dia-
  32. WMCEEUM A C, CFUnE deMUOETeS AC;
  33. AB, AD, _ AC, CB, CD in conci-
  34. nuaca ratione: quia vero communem ha-
  35. benc primam AC, crie AB ad DC, in
  36. riplicata rarione AB ad BC; scdD AB
  37. ectangulum ad D CB rectanoulum ta-
  38. ionem haber composiram exrarione D A ad D C, id est duplicata AB ad BC e
  39. X AB ad B C, isicur rectangulum D AB, ad V C B eriplicatam habet rarionem
  40. LB ad BC. Ouoderat demonstrandum.
  41. PROPOSITIO XCII.
  42. tmicirculi ABC diametto A C in F e Foccutamnorles l 13
  43. O, TaHSanturque AB, AD
  44. Sico L. AB rectangulum, ad F AD rectangulum, rarionet abele
  45. ciplicatam rectae AB, ad AD.
  46. 127. Eib
  47. deproeres
  48. que DC.
  49. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 215. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0272?run=74