Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 284

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. 76. haius
  2. u
  3. siseb
  4. scctiti
  5. L L L IPS. IS.
  6. PROEOSLTIO LXZVII
  7. Xium quadrata Cimul Cum pea aequalia lunc quadratis cuiuscunque
  8. Demonstratio.
  9. Inc ABC cllipleOSaxES A B, C D, dt alia quaenis dia-
  10. mecrorui coniunatio F FI, C: L. dico AB, CD quadrata
  11. Simul Cumpea Eguari quadraris F HI, GT Simul sumpeis.
  12. ducancur ordinatim linea. FI, CK quae, quia ad axes du-
  13. CUnEuE, Perpendiculares crune; cenerum aurein lectio-
  14. Disponatur B. Ouadeacum F C a x qualc CA quadeaTO R L
  15. vira cum CID rectangulo id est b guadraco CK: quadra-
  16. cum aurem F B c aequale cA quadrACO F R Vna CUm rC.
  17. ctangulo AR B id cA d quadrato F L: vnde quadeaca dues
  18. F. B, P C simul Cumpra aequalia sunc quadracis FL, IF,
  19. FK, CK Simul sumpris. Sed ij Idem quadracis a qualia lune
  20. quadeata F F, F. G, quadrarisigitur F P, F. C xqualia lunE
  21. quadraca L B, P. C. quare cum AB; CD quadraca simul
  22. sumpeac quadrupla linc quadracorum F B; F C d FH,
  23. GT quadraca quadrupla quadeatorum B F, PC; pater
  24. AB, C D quadeaca simul sumpea aequari quadraris PHI
  25. CL. limul sumpeis. Duod erat demonstrandum.
  26. ROPOSITIO LXXVIII
  27. Xes. ellipleos simul sumperminimae sune omnium diamertorum
  28. Demonstratio.
  29. InEaxeS AC, BD et quaeuis diamerrorum coniugacios
  30. F F, C FI: dico axes simul sumpeos minores esse diame-
  31. eris coniuracis simul Cumpris. Ouoniam AC; BD qua-
  32. deata limul sumpea, x qualia sunc quadeacis F F, C+ FI II-
  33. mul sumpris: Sicaurem ee BD maxima diametrorum, AC
  34. vero minima, eFunEFAC, B D Smul sumpEx minores te.
  35. Ais E P, C H: isicur, e c. Quod fuit demonstrandum.
  36. PROPOSITIO LXXIX.
  37. VInE AB C ellipsis axes AB, C D, divili pro.
  38. portionalicer in P. d F: ducti sque ordinarim
  39. (que hiclune perpendiculares) lineis PG, FH:
  40. iunsateur AC, GB, CHI, HD:
  41. Dico quatuor quaata AC, CB, CH, HAB, Simul Cumpca, XGlat
  42. Lconiugationis simul sumpris.
  43. Aconiugatarum simul sumprarum.
  44. duobus axium quadraris.
  45. Demon.
  46. ee p p a psn p as e p . en e p t t a se at e u e ete t pi at e u e e t a te t e e e u 1 1 1. p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 284. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0341?run=74