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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 363

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: 0.89.

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

The machine reads it as

  1. Don
  2. aliter.
  3. P A R ABO L A.
  4. DRopolicio hac aliter per Archimedem demonstra-
  5. TuF. Sinc BD, F. F diamerri eiusdem alcicudinis,
  6. e BD quidem axis: ponanturque per D de P, ordina.
  7. eim linex AC, G FI.
  8. Dico RC minorem esle recta CFT, iunganeve
  9. enim ABC, GRHI: _x ex F recta dCMIETAEUF F. I
  10. normalis ad G FI. cum igieur xquales sine distantia
  11. FF, BD, aequalia lunccriangula, G R FT, ABC per
  12. Archimedem. quare De E I ad BD, SC A C adC FI:
  13. eltaurem BD id est F. E maior P I (cum angulus L in
  14. criansulo P. IE rectus sic) maiorisirur eric EHI quam
  15. AC. Quoderac demonstrandum.
  16. PROPOSITIO VII
  17. D datum punctum in diamerro parabolx ordinacim pottelet
  18. Constructio es demonstratio.
  19. Iedata parabola ABC, cujus dia-
  20. mecer aligua BD; de in ca punctum
  21. aNignatum D per quod oportcaere.
  22. etam collocare ordinacim ad B Ddi2-
  23. mecrum; alsumpeo in perimetro quo-
  24. nis puncto A ducta sic quaeuis AC,
  25. ordinacim ad diameerum BD cui Pa-
  26. rallela ponatur per punctum D: PaTCE
  27. FDC ordinacim esse. policam d in
  28. D bitariam diuilam. Fecimus igieur
  29. quod petebatur.
  30. RolBsITIO rIII.
  31. A diametri in Parab La CCM ExhIBCFC.
  32. Constructio ex demonstratio.
  33. LB C parabola, d in illa diamerer BD cuiuslacus rectum oporreac extribell
  34. ohca sic quaevis BD ordinacim ad diameerum AD, hancque concinux propot-
  35. tionales AD; DB, AF. Dico A F latistacere pericioni: applicetur enin quLdIS alia
  36. BC pacallela D Bb eticisicur vC A D ad A P. sic DB quadeacum ad quadracu F. C. b. tuiut.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 363. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0420?run=74