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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 183

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: 0.78.

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

The machine reads it as

  1. spei
  2. Iudie
  3. ridistum
  4. 6, 61
  5. tac BI
  6. a, ett
  7. EI adB
  8. 162d
  9. ETMUI
  10. ad HB
  11. P16I
  12. Content
  13. EB, C
  14. ia lime
  15. 2d
  16. aCM
  17. 10
  18. t
  19. UI et
  20. cerum
  21. iuata
  22. coreu
  23. BC
  24. dC
  25. 8
  26. EC,
  27. Brest
  28. EIR CVL V S.
  29. Demonstratio.
  30. Enero B, inceruallo A B describatuE cireu-
  31. IaS AC C, cui peoductx AB, A F, A F, Oc.
  32. currancin G, FT, I: Duoniam A C. BD cieculorum
  33. fuorum diamerrilune, anguli AHIO, AIC+ xqua-
  34. les erune angulis D F. B, D F B, sed ec anguli B AF,
  35. E A F aquales suncangulis BDF, FDF. quod
  36. iisdem insistane arcubus; limilia igieur sunccrian.
  37. sula e AFE EI AL criangulis BDB, EDLi; de
  38. AFI, AL lince proporcionales ipsis F D, FD.
  39. quare cum sincequales AFI, AI, rectiS 2 AF C.,
  40. AFC, PACCEAGGrCGACUM AF, B C, ad agorcg2-
  41. cum AF, FC, candem obtinere racionem, quam
  42. ecta D E, ad D F. Ouod fuic demonstrandum.
  43. eROPOSIFIO XXIV
  44. Ontingac AB inxquales circulos, conveniens eum recta per verius.
  45. sque cenrrum acta in A: ex quo ponacur AD occurrens circulis in
  46. F, 6, D.
  47. Dico AB ad AC candem concinererarionem; quam obtinet AC
  48. ad AD, vel AF ad AF.
  49. Demonstratic
  50. 12515
  51. Opuncta concactuum ex centris duCaneux MIAMCHII LC, et B, nemque alix bI-
  52. FTOL ansuli (quod HIO: IR Ctic BarAHelC,) sunr equaleS; CEAHS CLa LRK, HIOL.
  53. EruntsimIIa, 2C proirde FTI est ad TR VEHIO ad LKL NOC elE (lcuriam oltendi)
  54. diamerri FTNI, PNt, _ ad rectam D Anormales, guoniam isicuranguli ad B
  55. EC recti lune, parallelae erutre tectae HB, IC. ErgBHE AB, ad AC, SC HTB ad
  56. CC, hoc estHO ad TR. Deinde, quia anguli, TKR, TILO recti tunE, _ IRR.
  57. DE TIB ad IC, hoc est (quoniam FTN, IM diameeri, aequantur diametris HIB, TC)
  58. DE ITN ad LMI. MMigicur est FTI ad IR, vE FIN ad IM, etit permucando
  59. acinvertendo NII ad PEL. ve MI ad KI, adebque quadiacum NNII ad quadea-
  60. IONLl cu quadrato I. HI; ec pundracu MI, rectanoulom Leu quadioeci
  61. rectangulu NL P, cum, quadraro L El est ad quadraru L. Fl. ve rectansulu MK O cu
  62. quadraco KIadquacracK P. erso Miidendorectansulu NP P CA ad quadraFuL. FI.
  63. cum P. FB vequadracum B(L ad quadtacum HP. se do quadrarii N FX ae quacux rect aeu. B5. secundi.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 183. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0240?run=74