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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 142

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. planorum imparium AM, CO, F. O, aec. velinca VI est ad lincam T.
  2. DR OGRESSIONES
  3. Dico leriem coram planorum AM, BN, CO, DP, XC. eNe ad Periem
  4. Dto.
  5. Eries batium imparium AB,
  6. CD, F F, KC: Consticuacue
  7. separarim; ve V X ipA AB, 8
  8. XX iph CD; _ V Z ipA PF
  9. Sc aequalis: icemque plana su-
  10. Perhis facta planis AM, CO.
  11. P. a qualia linc, de Cimilia. pa-
  12. cecigitur leries racionis AB ad
  13. E F, ee rarionis V X ad YZ,
  14. caldem esc. quare cum T X.
  15. qualis sc scrici AB; F F, criam
  16. leriei V X, XZ, aequalis crie
  17. Deinde series a plaMOTUM AN.
  18. BN, CO, est ad planum AM
  19. er linca VI ad AB: d Ccrics
  20. planorum V a, XB, ecc. est ad
  21. planum V X, id est ad planum
  22. AM, ve T ad V a, id est AB.
  23. Acqui re VIad AB, lcrectan-
  24. culum sub V I_ AB, ad qua-
  25. dracum AB: ec VE T ad AB, AC
  26. rectarigulum sub Y ec AB, ad quadratum A B: crgo leriesplanOrum AM, BN.
  27. _c. est ad planum AM verectangulum sub V I ex AB, ad quadracum AB: ee se.
  28. ries planorum V aes XB, Scc. cAad planum V as hoc eA AM. verectangulum T AB
  29. ad quadracum AB. Igicur permurando series AM, BN. eA ad rectangulum Cub V I,
  30. AB, veplanum AM, ad quadeacum AB: icemque permucando leries V a; ZB
  31. eR ad rectangulum Y AB. ve idem planum ANI ad idem quadeacum AB. ergo
  32. Ceries AM, B N; est ad rectangulum sub VI AB ve scries V an X B ad rectangulum
  33. F AB: _ permucando series AM, B NI, est ad seriem V an ZB, id est ex constructio.
  34. ne ad leriem AM, CO, F. 9 verecangulum sub VI AB ad rectansulum T AB)
  35. hoc est ve linea VI ad lincam T: Ouod crac demonstrandum.
  36. PROBOSITTO CXLIIL
  37. Acx sine quadratorum Ceries Dnta, qua habeane bales indirectum,
  38. e lonsicudin os pusscca IL L R. Sic aurem AR divisa in
  39. O, inrarione AB ad BC uR divila sic in P, sccundum rationem
  40. FO ad OH.
  41. nem habere compolucam ex rarionibus AB ad FC, et AO ad F. P.
  42. Scolenem quadratorum N_C, aletem Guaatatorum AIC, Talto.
  43. 25. 11.
  44. t M 1 pir ti ne . e 1 1 1. aa 1 . a ugu p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 142. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0199?run=74