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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 288

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. BFX ele-
  2. denris.
  3. mentis.
  4. isituE C F H muleo minor est angulosLB C. Duod crac demonstrandum:
  5. DA
  6. PR OPOSITIO LXXXVII.
  7. el
  8. Demonstratio.
  9. Vn e FI linea minoE sIC aXC AC.
  10. producacur verimque equalicer inK
  11. e L VE LK, Sc aqualis axi AC, iun-
  12. BaIuEque punCta F K, F. L; _ CX P de
  13. nICEaTuE F M normalis ad L R. cric igi.
  14. CUF K P. L. criangulum maius criangulo
  15. GE FI id est criangulo a A B C: quare
  16. cum inxqualium criansuloru bales AC
  17. LK Sinc xquales, cric L. MI b alcicudo
  18. cranguli K F L, maior IB alticudine
  19. trianguli ABC: adeoque c angulus
  20. AF L maior angulo ABC: angulus
  21. Demonstratio.
  22. Voniam tam A C quam P F paral.
  23. Cleloprammum eAt, CrunE caIn ABC.
  24. BCD anguli, quam R GF, GFFT duo.
  25. busrectis xquales: quare de ansuli ABC.
  26. BCD, simul sumpri aequantur angulis
  27. E. O F, O F II simul sumpeis: est aurem
  28. angulus AB C, ostensus s maior angulo
  29. E C F, igitur _ GFHI maior est angulo
  30. BCD: _x quia, veiam octendis al B, ex C simul sumpei aequancur angulis C.
  31. _ F, Cimul lumpris quo excellu AB C. angulus superac angulum P C F, codem ne.
  32. cesC csre angulus C F H superet angulum BCD. Quoderat demonstrandum.
  33. Corollarium.
  34. TIncpacecansulum B C. D qui circa axem maiore existie, minimum esse omnium
  35. Lanculorum qui hunc a lincis diamerrorum coniugacarum exerema coniungen.
  36. tibus.
  37. PROPOSITIO LXAAMIII.
  38. Lliplim ABC cuiUSaXES AC, E. G contingat in B reCIA Qualau
  39. DE conveniens cum veroque axc in D de P: excenero vero C recta
  40. demiceatur C F parallela linca DF.
  41. Dico DB, CF, BF. lineas eAc in continua proporrione.
  42. 273. huin5.
  43. InE AB C ellip(eOS AXeS AC, BD: iunganturque illOFUM exFremd
  44. B, BC, C D, D A: Sic aurem _ alia quae cunque di2MCEEOrUM CON
  45. iusatio EF, CFI, quarum extrema quoque coniunganeur.
  46. Dico ansulos ABC, FO F, HIF G, BC D arichmecice CAC prOpOr.
  47. tionales.
  48. 186. bol 1115.
  49. Denon-
  50. u qui ete ut e e e u e ee e te . e e ne t a t ( iti a t e e e at putett

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 288. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0345?run=74