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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 400

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.

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The machine reads it as

  1. 400
  2. A R A B. O L A.
  3. PROPOSITIO LXXEV.
  4. DArabolam. ABC euius diameter BD concingae in B linea FB: ex
  5. in F, C, A, C punctis e BD diamerrum in D e HI, demislaque ex F _
  6. C diamerri FIE, GI, occurrane LLC Hnex in K de 1.
  7. E 2 C1EIBLIEBC CAVEE CtrI
  8. se
  9. Sit est A et et:
  10. emonsrAtO. L C in erap
  11. OL ad FK, SC F O est ad BF; sed
  12. F. C 2d F F, duplicacam habet rarioné
  13. E ad F TI, id est b GFI ad TIF; igieur
  14. e Cl ad FK, duplicacam haber racionem
  15. cius quam habcc CiHlinca ad lincam HP,
  16. erac demonctrandum.
  17. TROPOSITIO LXZXVI.
  18. Lpuncto F. duxe quaeuis ducancurlinex P F, F. C, secanres parabolam
  19. Dico. CI ad F K, duplicatam habereracionem eius quam haber OH
  20. ad FTF. 161111
  21. EX 82.
  22. uins
  23. 1. D
  24. pressionibus.
  25. esse ad quaatacum AF.
  26. vlcerius inferimus, _ A, B puuel Contactuum coniungantur, rect 25 F E, F.C, I. C in
  27. concinua esse analogla. ret d HIL, AG, HKlincas.
  28. Demonstratio.
  29. ISCenim ex TUBPOSIEOVEAD qua
  30. aracu ad quadracu D B, siC A P
  31. quadracum ad rectanoulum RFC:
  32. ex permucando ve AD quadratum
  33. ad quadracum AF, SCDB qua-
  34. dratum ad rectangulum P F C. sed
  35. Cest quoque ve AD quadracum ad
  36. quadracum AF, SC DB quadrani
  37. ad quadracum FC; igieur ee DB
  38. quadrarum ad rectarsulum P F C, sic idem quadracum DB ad quadracum FO.
  39. inde FC quadracum xquale cA rectangulo RF C; _ F R, F C F C linex lune in
  40. concinuata proportione.
  41. DArabolam ABC contingane in A d B linex AD, BD convenien-
  42. res in D, alsumpeoque puncto F. in sectionis peripheria, agAEUF PEF P.
  43. linea FC, Parallela rectx BDOcCumens AD linexe in F.
  44. Dico ve quadracum BD ad quadratum AD, sic L. F C. fectangulum
  45. Est hac ab Apollonio lib. 3. prop. 16. eodem plane modo proposita: nos aurem hanc supponendo
  46. PROPOSIIIO LaaaI
  47. IIdem policis ducacur de alcera C FL parallela F C, secans parabolam in
  48. I_II.
  49. Dicorectangulum F. F. C ad rectangulum YOHI, ese ve quacalu
  50. F A ad C A, quadrarum.
  51. Denton
  52. S e qute at e s 1te s t e e e . e 1 1 1 e ee 1 t 1 p . 1 1 2. 1t 1 1 1 1 1. 1 t 1) e t . u1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 400. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0457?run=74