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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 182

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. . p. 1 1. 111. 1 1 . 1.
  2. TR CVLVS
  3. circuli B GD in G, rectA VerO DB, AIAMerTO A C in F.
  4. Cb AD, DE, F. C, cres MCas, Caudem rationem continuare.
  5. Demonstratio.
  6. 182
  7. Ccribatur circulus BG D, Ponancurq; FI C, quidem occurrens perimetro
  8. DOnacur PP, aequidistans BD,
  9. iungancurque DC, CF, AB,
  10. quoniam F F xequidistac BD qua
  11. in FI divila eAt bitariam, cric P IX.
  12. qualis IF: vnde ve F I ad BFI, id
  13. est F I ad FTD, SC F C ad G B id
  14. CA IC, ad CFI, e permurando ve
  15. FI ad TC, ica DFI ad HIC. qua-
  16. re cum anxuli DFTC, FTC laceri-
  17. busproporcionalibus contenci sine
  18. aquales (ob FTD, F I parallcla5)
  19. crunt eriansula FTO, HIDC: Scu_ O IF, BHIO, ItCM FP G, BDO.
  20. lunc ergo in directum D, G. F, puncta, veCL elementis parec. Vicerius quia similia sune
  21. criangula BD C, DGF, eric BD ad BS VE BG, ad D G: id eA F C ad G F: sed
  22. etanpulum BDEF, quadrato DF aGualc. (unc aucem similia quoque crianpula
  23. ADB, E F C. IsITuEVE AD, ad D D, ita F F ad F C. unde rectangulo ADR C.
  24. aequale est rectangulum BD L F, hoc est quadracum DF. Cunc igitur continux
  25. proportionales AD, DE, F. C: quod tuic demonstrandum.
  26. Emicirculo ABC inscriprum eno criangulum cujus alcerum lacus
  27. Dico BC, AB, d agorcaum Cx A C, C. B, eres esse in continuaration.
  28. Demonstratio.
  29. Flac A D ECsquialECTA C D: iuNBACUEquC BD.
  30. arcus AB duplus eAt arcus BC, quia C BI2.
  31. cus hexagoni est; igitur e angulus BC A, du.
  32. plus anguli B AC: scd angulus BC A, quoque
  33. duplus estanguli= BD A cum AC BCD IIOICO.
  34. lesper constructionemigitur angulus BD A x.
  35. Oqualis est angulo B AD e AB, BD laTCTA X
  36. qualiaincer se; unde similia Cunceriangula BDC.
  37. BD A: _ veC D id eAt BC adDB, ita DB
  38. hoc est AB L AD, hoc cA 2d AC, C B. Ouodtuic demonstrandum.
  39. EROPOSITIO XXIII
  40. scersecent sete ac ACos, diametri AC, BD; polIri (GUC AF C, APC,
  41. ungatcur L LD.
  42. Dico , adOF, candem habere rationem quam agereeatuu
  43. auacum AL, F C, ad aBBCcgncum AF, FC.
  44. similis
  45. VEF C ad G F sIC DF est ad R F cum DOF, G F. F similia sincriangula, igitur
  46. BD est ad D F VE D F ad R F; quare sunc proporrionales BD, DR, R F d rC
  47. eROPOSITIO XXII.
  48. DC, Penidiamerro MLa GualC.
  49. Demot
  50. sustt t os su sate ute t te tt e e a p ei e te e e se tut pe tet e e t te a ee te e e pete e te it te il e

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 182. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0239?run=74