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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 430

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: 0.86.

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

The machine reads it as

  1. 12. b.
  2. DE. ducancurq; HII, NO parallet D, LII quidem secce parabolas in
  3. Iet L, lineas A D, AB in K _E M, reCtA VETO NO, OCCUTTAE DE, BC,
  4. lincis in P e R, parabolis in d O.
  5. ROPOSITIO CLV
  6. Dico eC VE LM ad R O, Sic IK
  7. 2dOP.
  8. Demonstratio.
  9. LTHAd LH SCDF ad B P, CCdFEDF
  10. ad BF, SIC KITadMFL, isitur ve LH ad
  11. L HI, SiCR TTadMEF, _ TK ad LM, DCTH
  12. 2d F FI; id est vE D F ad BF. Sed VED P ad
  13. BF, AC ON quoque est ad a NF, _ PN ad
  14. R N. igitUF vE ON ad O N, HC P N ad R N
  15. OP ad O F, veO DFadO DF, id est DF ad
  16. BF, id est ex demostratis LR ad L M, X pet.
  17. mutando DE TR ad OP, SIC LM ad R9.
  18. Duod erat demonstrandu.
  19. PROPOSTFIO CEVI
  20. DArabolx duae ad cundem adem AC constiture communem habeane
  21. apiCem A: policaG; ad aXCM Ordinatim C D E, IUMGAHNEUT AD, AF,
  22. et recta dueacur Ls patatela C. P, lecans parabolas in l e R, rectas
  23. VeTO AD, AF, in C & Il.
  24. Dico C F H rectangulum ad rectangulum l F I eam habererationem,
  25. quam habet FC linca ad lineam C D.
  26. Demonstratio.
  27. AbeanE ABC, A D E parabolx communem axem AF, policilque
  28. Lad illum ordinatim lineis F es C F, iuNgAnEIT AB, AD, BC,
  29. 2d lfR rellangulum duplicacam ha-
  30. bec racionem eius quam habec linea FY
  31. acio rectanguli OF H adTFK, re.
  32. etanoulum composca est ex rarione
  33. FC ad FI, CCX HFad LK. Cn aurem
  34. veFCddtL.hc2 LCaCB Cte
  35. adFR, AIC FR ad C P; ratioigieur re-
  36. etanguli GFII ad rectangulum IFK.
  37. compolica est exracione FI ad C D, et
  38. ex FK ad C F: sed. F R eA ad CF, Vt
  39. F Test ad C Directangulum igiturOFH
  40. b 2bid. F C. bFB CD proporrionales TunF. Duodtuir demonttrandum.
  41. ad CD: id est rectaneulum OFHL Ad XF K rectangulum, eAt VE F C. ad C D, quia
  42. ( t e 1. te t . A 1 . H t . t e et 1 d st 1 . t. A. t At s p p 1 1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 430. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0487?run=74