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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 693

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: 0.83.

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The machine reads it as

  1. d
  2. SPYR A L 15.
  3. PROPOSITIO XXII.
  4. lact pentets qdae saperiori propolicione,
  5. Bcobb, it, ll esse proportionales.
  6. Demonstratio.
  7. TAnc propolicionemcos or ex meis lucubrationibus
  8. demonstrare, eo quod Archimedis non Cc: illius de-
  9. monctracionem reperies propolicione cencelima lepeua-
  10. sesima libri nostri de parabola.
  11. AILLIBALVR BETRAL
  12. a
  13. Dico semperarCuS DPC, COD, HOL
  14. ese in continua analogia.
  15. IIdem quoque poliris in spirali,
  16. Demonstratio
  17. Aecus DPC eAt ad arcum GOD, vearcus
  18. et
  19. 13 c11).
  20. Di lib. +. VE A C dd C G HvC AD ad DC. CII-
  21. licer arcus FTOL eA ad arcum L S TT, DE aECIIS
  22. CTN adarcum, CNhOCCAVE AL adLN, (-
  23. HC AHI ad HI C. ergoinverrendo arcuS LS FI
  24. est ad arcum L. Q H: ve C HI ad FI A, hoc CR
  25. DE AD ad DC, (cum ex hypoch. CFI, AD, SinC
  26. aquales) hoc est, sicuc iam olcendimus ve aecus
  27. DPC ad arcum GOD: Scd aECuS FTS L PCF
  28. prxced. aequalis est arcui COD; ergocciam ar-
  29. cus GOD elt ad arcum FTOL. VEAECUS DPC
  30. ad arcum GOD. TunE igItUE EreS AECUS D P C
  31. GOD, HIO I inconcinua analosia. MModerat
  32. demonstrandum.
  33. Similicudo in eo polica quodarcus D P C extra
  34. spiram, rectam DC extra parabolam; arcus
  35. DOC incra spiram rectam C F intra parabolam; arcus denique FTO L iterum
  36. exera spiram, rectah III. rursum quoque exera paTaBOLAM REPTA(ENCENE.
  37. Cdrollarium.
  38. 11
  39. LLCB Tadarcum BINYC hoc es peF 13. PaP-
  40. X poluis licet interre eriam spacium spirali linea de circuli perimeiro D B C, Cet-
  41. Minacum aequari spacio spiraL C ec arcu LII clauso: X in hoc symbolizacio
  42. verseueral, Hatu ACrL, L. BK parabolica spacia inter se lunc aequalia.
  43. kDEOSITIO, XXII
  44. lepatabola ACB, qua bea B. Beau Mane C.D.
  45. quas bilccainpunetis F.
  46. eo Puticta Li aet tat ab atal lla il crtuiteta Etd.
  47. Ddemon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 693. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0750?run=74