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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 995

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. VNGVLA CXIL INDRLC.
  2. Dico planum continsens
  3. EFHO aequale esse superticici
  4. vngulari cylindricae IB NL C. R.
  5. Demonstratio.
  6. DEmonctracum eAt in 42. huiuspla-
  7. NUM CONTINGCNS RF FTC aequale
  8. ese rectangulo quod lineis AD, MO
  9. COnEINCEUT. Requi demonsteatum et-
  10. iam est propolicione 47. Superticiem
  11. TBNL CK xqualem esse cidem rC-
  12. ctangulo Cub lineis A D, M O com-
  13. prehenso. ergo planum concingens
  14. EF HTCi superticici IBNL CK X-
  15. quale cAt. Duod erac demonstrandum.
  16. PR OPOSITIO LI.
  17. TNgularem superticiem cy-
  18. lindricam secundum datam
  19. rationem parciri.
  20. Constructio es demonstratio.
  21. CIc ongularis supersicies A B CD dividenda
  22. secundum racionem daram T ad R. AaE VE
  23. Y ad K, IE2 AD ad D F, vel iCa AD ad F F, 8
  24. secundum FG, F. B perpendiculares ad dia-
  25. mecrum, ducantur plana axi colindei parallela
  26. extribencia communes sectiones in superticie
  27. cxlindri ongulari rectas BC CFI. Dico super-
  28. siciem vngule AB C D ad Parrem C FTD, vel
  29. ad parcem BGFIC candem habere propor.
  30. tionem quam habee I ad K. Demonstracum
  31. est enim a rectansulo AD F aequalem essevn-
  32. sule superticiem CFTD. Demonctracum quo.
  33. que cst b rectangulo AD, P. F xqualem eNC
  34. superficiem B CFTC. Demonstracum quoque
  35. estcrori ongulari (uperticici aequale esse qua
  36. dracum AD. Cum IsIEUFF. sexEI SIEVE AD ad
  37. DF, vel F F, ica quacleacum AD ad rectanon-
  38. Jum ADF, vel A D, F F, erit quoque re AD ad DF, vel F F (HOC ett vE L ad. R,)
  39. ita supersicies ingularistora ad parrem C HD vel CHC. B. precticimus igitur quod
  40. pecebacur.
  41. PROPOSTFIO LIY. A
  42. Ecerurrngula ABC, cls acc Pat ane oas prans guot.
  43. cunque axixquidistanedus e rectis ad diamerrum C.
  44. Dico luperticies ongulates planis illis intercepras eandem itetllo
  45. cirirationem quam parces diametri DC.
  46. siei
  47. Decton-
  48. in
  49. in.
  50. ns o e o eEaa es a EeEaESC

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 995. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1052?run=74