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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 30

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: 0.87.

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

The machine reads it as

  1. L IN L A R V M
  2. crianguli AB C. quadrata, sune aGualia quadrato AD semel, quadrato D Bbis, e
  3. C.D quadraco cer sumped. Quodcrac demonttrandum.
  4. EROPOSITIO XLI.
  5. Sco ABC criangulum rectangulum, _ ex B
  6. srecta demitratur quanis BD, ad oppolicum
  7. latuS AC.
  8. Dico AD, BC quadraca simul sumpra, xquari
  9. quadratis AC, BD simul Cumpris.
  10. Demonstratio.
  11. Voniam angulus B A C rectus ponitur, eric B C quadra-
  12. Ccum, vua cum quadraco AD, xquale cribus quadeacis
  13. AB, A C; AD: lediiidem aequale est quadearum BD vna
  14. cum qua drato AC, ixitur LD; BC quadraca; aequalia lunc quadraris AC BD.
  15. ABC ertangulum, _ ex singulis angulis du-
  16. ctx lincae BB, AF, C E SecenE latera oppOlica
  17. DicOAF, FC, BD, quadrata, ad quadracatria la-
  18. cerumerianguli ABC, cam habererationem, quat
  19. Luoderac demontrandum:
  20. PR OPOSIFIO XLIF
  21. d
  22. bitaltam D, L, F.
  23. tria ad qualuo.
  24. emonstrate.
  25. Vadrata AB, B C limul sumpta, aequalia tunC quactalis
  26. BD, 2AD bis sumpliS; _ AC, BC quadrata, aequalia
  27. sunc quadlraris F C LFbis sumptis; quadrata verd AB, AC
  28. aequancur quadracis AF, C F bis lumpeis; ipieur quadraca
  29. Cemel sumpea, aequalia TunE quaatatis A F, C F, BD, AD, AF, CL
  30. is, Sed AD, A F, C F quadraTa, suNE quarta parS quadraEOTUM A B,
  31. Neriangulis rectagulis qu2-
  32. dracum, quod sc à lacere
  33. rectum angulum subcenden-
  34. ces aequale est eisqua a laceri-
  35. bus rectum angulum conti-
  36. nenribus, describuneur qua-
  37. draris.
  38. Demonstratio.
  39. IE AB C eriangulum rectangu-
  40. cum AB, BC, AC. Duod crac demonstrandum.
  41. Cintet su
  42. BC, A C; igicur quadrara reliqua AF, CF BD, ires habent quartas, quadrato
  43. P ROPOSITIO XLILI
  44. AL, LL, CHI, _ FB linea (CCCE AD in C. OUa alS RC L L. C A MI
  45. eteaequales dempio communi angulo E. C. B. Ct lG AC B. L. C. R reliqui.
  46. lum, et lacerum quadraca line
  47. LaeL
  48. e po o preptr upeies i pei tu usetr ari pupe at p et se ett t i t tat t p i tp e t p et e e e s e a e u aoe s ien opnu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 30. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0087?run=74