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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 197

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. neto
  2. um.
  3. b
  4. HC
  5. IOSF
  6. Oct
  7. C. IR CYL V S
  8. muni FBC, cricangulus F BF aqualis
  9. anguIo E AC id CA D AHI, Cuncaurem
  10. e anguli CFC, CD C cidem insisten-
  11. ces arcui aequales, isitur reliquus I, X-
  12. quatur reliquo angulo TI. Ouod crac der
  13. monctrandum.
  14. PROPOSITIO LIII.
  15. Vex sinenormales a terminis
  16. crianguli ABC, ad oppolica
  17. acCTA.
  18. Dicoillas lese in eodem puncto decultare.
  19. Demonstratio.
  20. Ircumlcribatur AB C criangulo circulus; d
  21. Der AC puncta alcer circulus describacue
  22. ADC, aequalis circulo ABC. Productagne BI,
  23. occurrarperimetris in D, _ K, _ per D quidem
  24. ex A _ C, AGAHEUE CDF, AD F, iungancurq;
  25. AF, CF, CK. Cruncieaque anSUII AF C3 AF C
  26. arcui AC insistences xquales; quia vero anoulus
  27. F AC, rerique circulorum equalium communis
  28. CH, aECUS quoque DC. CF aquales sune, vei illoru
  29. Subcensae; ob eandem rarionem quoque linex AF,
  30. AD sunC xqualeS. Rursum cum angulo DKC, id
  31. CK K DC (ob circulos aequales) duo anguli incerni
  32. DCB, DBC, aquales SINC, CrunE duo arcuS E B,
  33. R C id cst D C aequales duobus arcubus B R, F C;
  34. ablacis itaque aequalibus arcubus KC, C B, rema-
  35. nene quoque aequales arcus F B, B F; quare anguII
  36. FCB, BC F. quoque lunc xquales. licur e anguli
  37. FAB, B AD. vnde cum AF, AD lince, adeoque
  38. e anguli AF D, AD F aequales sinc, erunc sc reliqui FTIA, D II A quoque incee
  39. se aequales, adeoqne de recti. eodem modo ostendicur angulos ad C polcos, esse re-
  40. eto5. quare paretnormales BI, CFI, AC, Pele in eodem puticto decustare. Quod Fuie
  41. demonstrandum.
  42. lLOFOSIIIOLIV.
  43. Ndacum circulum ABC, a dato extracum puncto D; ducta lint
  44. OL, BOF auFCTCNEES ArCUS FB, GC. Oporret ex alio puncto ex-
  45. Lacirculum assignato, H, duas rectas in circulum immierere, quae ar-
  46. cus duosincercipiane, duobus FF, CC arcubus aequales.
  47. Demon-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 197. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0254?run=74