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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 277

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: 0.79.

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

The machine reads it as

  1. E L L PP SIS.
  2. e CSSEISI.
  3. 114.:
  4. ACP AO P, O S VTIO L XLII, 1llic
  5. 3
  6. 1et 1 et
  7. Vine due quaeuis diamerri AB, AC, iunctisque illarum extremicari-
  8. bus, ducancur due quaenis aliae diameeri AD, A P SiC ve iunct a DF.
  9. SInE ABC, ADE criangula aequalia: divisis autem BC, D P. BIta-
  10. riam in F ex C1, aganeur per F e C, diametri AFI, AI: que si in Lde
  11. C, proporcionalirer line diuile,
  12. Dico BAC) D AF sectores eNeaequales.
  13. Demonstratio.
  14. Voniam AYI, AI diametri in F et C proporcionali.
  15. Lcersunediuile, crunc BHC, D LF Scgmenta 2 xqua
  16. lia: Cune aucem ex liypocheheriangula ABC, AD P. xqua-
  17. lia: sectores isicue B AC, D A F. sune inter se aequales
  18. Duod erac demonttranclum.
  19. eROPOSTTIO EX
  20. HInE duo sectores D ABC, DFPF, ductisquere.
  21. Dais AC, L. MI, _ bilectis in FI, de C7; duCANEUE
  22. diametri DHB, D C. L. Sic aurem rario D C ad DI
  23. minor ratione D FI ad DB.,
  24. 1. (11
  25. Dico sectorem DELF radiorem, este, (eCOTs
  26. DABC.
  27. Constructio es demonstratio.
  28. Toniam D C est ad D L in minori proportione quâm
  29. LD HI ad DB. Fiac DR ad D I, vi DFI ad DB. m2-
  30. iorigicur erie DK quam D C _ punctum R cadet inter
  31. C ac I. Per K ducatur ordinarim Y RM; iunsancurque
  32. DE, DMI; Scomenta igitur T. IMI, ABC B xequalia CunE.
  33. Duare sectores oriam cDI. IM, D ABC. sunc aequales.
  34. ac proinde sector. D F IF maior cA sectoroD ABC. Quod
  35. erac demonstrandum. i. I, etli uB C18. 3 20677 1i pIR
  36. IPROPOSIETOLE
  37. nt
  38. 11313
  39. NInE ABC, D B F. sectores duu inxquales, (IC
  40. DOVe ABC, DBE criangula sine equalia:
  41. Dico ABC, DBF sectores simul Cumpros aequ
  42. 3331()1V~1F.
  43. Demonstratio. D V
  44. Vm sectores sinc ex hypochesi inxequales, sit maior
  45. BDGF. quia ergo criangulum DB F ex hypoches
  46. aequacurcriangulo B AC crir sesmentum DCF maius
  47. seomenco A C, abscindatur dicaque F C segmencum ipsI
  48. AC aeguale iurgancurque BG, CD; de F B producta in
  49. Ei ducarur F D. quid Egicor Pegmenta GB; AC. aqualia
  50. (unc, c’etiam sectores aeguales luHe, adeoque ee crianou
  51. Tum GF B, criansulo AC B, hOC est criangulo BDF X-
  52. quale cric. quare BP, DG me parallele adeoque ele-
  53. emencum OF, hoc ett legmentum AC aquale cAt le-
  54. emenro DE; sectores itaGUeAB AC BFDS Equancur.
  55. M m 3
  56. 253. tuius.
  57. Shuin
  58. d
  59. uius
  60. u
  61. 111

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 277. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0334?run=74