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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 206

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: 0.88.

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

The machine reads it as

  1. Senci.
  2. pus
  3. 69. h1
  4. 106
  5. E
  6. EIR CY LVS.
  7. Demonstratio.
  8. Vn enim F C, BD aequidistene, erune anouli
  9. DBC, BCF, id est anguli DBC, B AC 0b
  10. P C tangencem requales; hmilia igieur sune crian-
  11. suta DBC, ABC. vnde vE AC ad AB, 112
  12. BC eAt adB D: PacCFigITUT ABBC, d AC BD.
  13. rectangula cAC X qualIa.
  14. eDPOSITIO LXXI
  15. cinuicem circuli duo quotum vnus per cencrum alcerius cranscat
  16. AC. quae punccalectionum coniunsir, lc diamerer cir
  17. culi cran lcuncis per cenerum alletius; ad quam erigarur per B, in perime-
  18. Ero ABC alsumpeunat, dormalis DB C; occurrens AD C. perimcero in
  19. Dicorectangulo DBC a Gua AC BF rectangulum.
  20. Demonstratio.
  21. Veta CBFT, cum circulus AB C per alEe-
  22. eius cencrum cranscae, cric b HIB aqualis
  23. AB. inde ABC rectangulum xquale est re-
  24. etanoulo TIBC, scd TTBC aquale cA rectan-
  25. sulo DBC; isitur e D B O aqUaEuE ABC
  26. id est c AC BF rectangulo. Ouod crac demon-
  27. Arandum.
  28. PROPOSITIO LXXII.
  29. lamerrum circuli ABC, secet AB,
  30. normalicer in E, ponancurq. quaeuis
  31. EHI, Occurrences AB in C.
  32. Dico E G HI rectangulum vnacum F C quadraco, aquari F. G HTrC
  33. l G, _ AC in F.
  34. angulo vna cum quadrato FC.
  35. Demonstratio.
  36. oacadinila in F, ex quianon bitarium
  37. dinita elt in C etlc A C+ B, rectangulum vua cum
  38. quadraro LG, daequale quadraco AF. Ccd AC B
  39. rectangulo aquale est FCrHIc rectangulum; addico
  40. isicur FC quadraco, cric PC II rectangulum vna
  41. cum quadraco FCr, quadraco AL aequalc. igicue
  42. Toniam AB ans Cu au Mamcrrt CD.
  43. e LCitl cectangulum, rna cum quadcaco Ln
  44. aquale cA F. C HI rectangulo vna cum quadrato
  45. FC. Duod crac demonstrandum.
  46. PRO.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 206. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0263?run=74