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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 505

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: 0.84.

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

The machine reads it as

  1. FIII.
  2. 9ua
  3. CTaH
  4. idieue
  5. ane
  6. ula
  7. P A R A BOL A.
  8. Demenscrarto
  9. EScenim F. D quadratum ad quacatum F. LHL
  10. quadearum ad quadracum D P ex hypochen ld clt
  11. ve AD linca ad lineam AD; puncca igiEUE F, F aC
  12. ParabOlam TUInE.
  13. eR OP OSLFLO CCCXX
  14. VIE ABC parabolae diameter AD, d ordi
  15. nacim poliex CD, BF: ductaqe linca AC
  16. qua BE rCCEIS OCCUTEAEIN FF, FaE VE FB ad
  17. FB, SC BC ad BC.
  18. Dico O, C puncta esse ad parabolam.
  19. Demonstratio.
  20. oti
  21. atac vE BF adt BG, SIC F L. 3d F H: quoniam est ve F B ad F B, ita BC ad BC
  22. eric permucando ve FB ad BC, sic FB ad BC: se Del construc, DF cA ad
  23. EFI, ve EB ad BC, ergO F F CA ad B IT, vE F F ad L FT; igicur cum puncta F F
  24. in directum sinc, puneta quoque IIFI in directum lunc, re paret ex clemenris: de
  25. _ide quia est ve FB ad B G, siC F F ad F II, erir componendo, connerrendo O F
  26. ad BF, VEFH ad FB, ∞ permutando CF ad FHL, VE BF ad E F, ee compo-
  27. nendo GTT ad ETT, VE B E ad FF, iccrumque permulando CrTT ad BR; VE LFI
  28. ad FF; sed cum anre ostenderim eNe FF ad FFI, v E P CM ad FHI; crie quo-
  29. que ve F FI ad FB, siC F HI ad F R, crgo ve GHI ad LH, lic GHI ad BF, e per-
  30. mucando CTI ad C TI, ve BP 2d BB: igirur ex quadcatum C FI 2d GHI qua-
  31. deacum est, requadrarum BP. ad quadrarum B t, hoc eAt ve F. A ad F. A, hocCIC,
  32. ve AEI ad AHI, punctaisicur C. C ad parabolam lunc, cuius diameter A IL.
  33. PROPOSITIO CCCXXI.
  34. Donancur eadem qua prius, et
  35. tanc F F lineis aquales rectae
  36. BO.
  37. Dicoicerum A, C, C esse ad para-
  38. bolam.
  39. Demonstratio.
  40. Vm enim P B lineis aquales p0-
  41. naneur B, addicis communibus
  42. BF, rectae FC aquales luncF P, dCFG
  43. quadraca aequalia quadracis B F: igitur quadracum F G ad quadrarum F C es ve BF.
  44. quadrarum adquadracum B E, id eA ve AF linea adlincam AB, id eA AF ad AF.
  45. puncta
  46. ttttttt
  47. 138

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 505. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0562?run=74