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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 212

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. ∞V L V 5.
  2. Demonstratio.
  3. VnGAnEUE AG, AHI: quoniam anguli
  4. ABC, AF C ciuldem scomenci equales lunc,
  5. crunc e reliqui ABC, AF FI quoque inter (0
  6. aquales: vnde cum ex anguli AC C, AHIC
  7. cide insistences arcui sinc x quales, cruc A G B,
  8. AFEF criangulasimilia: _E AF ad AFI; Ve
  9. AB ad AC. est aurem racio rectanguli
  10. ABC, 2d AF C rectangulum compolITa ex
  11. ratione AB ad AF, hoc est GB ad HTF, et
  12. ex BC ad CC, e exiildem quoque compo.
  13. sca est racio rectanguli GB C ad FIF C; igieue
  14. ve rectangulum ABC ad AFC; siC G BC
  15. rectangulum ad ITF C. Quod crac demon-
  16. Atrandum.
  17. Corollarium primum.
  18. Inc consequens est demissis normalibus BD, F F esse G B C, rectangulum ad
  19. rectanoutum FTFC, veelt recta BD, ad F F. CAenim rE AB C rectangulum
  20. ad AF C sic OBC ad rectat lum HIFC; scd ABC ad AF C, rectangulum
  21. Cst, re AB C parallelorrammum in angulo AB C, ad parallelogrammum, AFC
  22. in angulo AF C (quia ex ii(dem racionem habene compolicam) hoc est verectan-
  23. 69. bnins. gulum A C BD ad a rectangulum A C F F: igicur ve rectangulum A C B D, cAt ad
  24. rECLAHgUIUM sUPCE A C F F; AIC GB C rectongulum ad rectangulum FTF C: qua-
  25. reve BD ad L F, HC CBC rectansulum ad rectangulum HIF C. Ouod fuit de.
  26. monstranduu.
  27. Corollarium secundum.
  28. TAdemmanenEC Agura, patet AC eNC ad AFF vE A B ad AF, siuc vE G B ad
  29. HE, quia ACB, AFIF criangula ostenla lunc incer se limilia: quod speciarim
  30. ideo volui apponere, quia aliquories postea alumendum est..
  31. eROTOSITIO LZXXD.
  32. Ranlear percirculi A BC centrum, perimeter circuli AGC, iun-
  33. Atisque AC, POnantuT qua cunque BF, D P norrmales ad AC: ex
  34. cnero deinde C, pet D_ D, IBanTTrECtE CBL, CDH.
  35. DicoDE, BF lincis HD, LB, CAEprO.
  36. portionales.
  37. Demonirar.
  38. catiut Det e de B ceclaL 1l L Btdeito
  39. ad BF, sc HIDC b Eccatiouum ad lBC
  40. ctangutum, hoc ettRDC ad L. BCr: led est quoque
  41. VE KD 2d C B; sic RDC rectanoulum ad rectan-
  42. rulum T BC cum DC B C linex sint xqualesiioi.
  43. TUEVE DE adt BF, Eic KD ad L. B. Quod tuie de-
  44. monstrandum.
  45. 1a 1 6 o se S

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 212. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0269?run=74