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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 320

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. E. L. L L+ 3L5.
  2. Fad 6.
  3. eROPOSITIO, GXLV
  4. Lecidem ad angulos rectos ad F. D, datam obtincac rationem
  5. 11
  6. Constructio e demonstratio.
  7. Hro de circulorum proprietaribus proposui-
  8. mus hoc problema: sed quoniam ejus demon-
  9. stratio ab elliprica proprietate dependet; idcireo in
  10. hunc locum eam distulimus constructio vero est. Du-
  11. cacur diamerer HII normalis ad AB secans
  12. AB, in L. Fiacque vE F ad G, SIC HR ad
  13. KI. Cumpca deinde IM aequali iph FTR, di-
  14. uidatur diamerer HIP, in O puncto rediuidi-
  15. TUF RM in L: deinde rectangulo NOP, Aac
  16. xequale quadracum L F; tandem ducaeur per
  17. E, rectanormalis CF D. DicO C F D, divi-
  18. sam in F, secundum rationem F ad G. Quo-
  19. niam Cunc linex NP, RM ad angulosrectos
  20. bitariam divile; isitur descripea ponacur eirca
  21. illas cam quam axes cllipsiS NR P, crunc ita-
  22. que OO, I. F, ordinacim police ad singulos
  23. axes: _ quia axes similicer dinisx (unE in O et
  24. L, eltque rectangulum DOP aequale qua-
  25. Ectam A. B, subrensam cuiusuis arcus circuli A B C, alFer Z SCCarEC D,
  26. 174. hains. deatO L. F, PareE a punctum F. esse ad ellipsim per puncta N, K, P, M de
  27. esde
  28. (criptam. ergo eAVE TIK ad RI, hoc CA VE F ad C7, SC C F ad R D, Pacec rectam
  29. D applicacam elle in circulonormaliter ad CD, VE C E. ad F. D dacam rarionem
  30. obrineat F ad C. ubuun demoau.
  31. PROPOSITIO CRLVI
  32. Aca recta A C. e alcicudinc DD, elliplim delcribere cuus pou
  33. Constructio es demonstratio.
  34. Filac super AC linea in alcicudine
  35. BD criangulum ilosceles ABC.
  36. dein AC linca verimque xequaliter
  37. produCacuF In F _ F: VEEOTA R F SII
  38. aequalis duabus AB, BC, tum per
  39. F, B, F, puncta ellipsis delcribacur:di
  40. coillam esse guxpecieur. Duoniam
  41. F F linea dinila est bitariam in D e
  42. hon bitariam in A: CrIE F A P B recta
  43. Sulus vita Cu Guactaco AD, a.
  44. (INE A, _ C.
  45. quale quaratO F D hoC CAE Pet COMMTACLIONEM Qu2AEACO A B; IC a CCIAM quaded-
  46. manet LAt rectansulum a uale qud aato BDIa ee quarta Palc tsurx. codem
  47. E0 AB aequalia sunE quadraTA AD, BD: dempro isitur communi quadraco AD,
  48. ∞I2
  49. suius.
  50. upa pe E. B L. Cald lulinea de alcirudine, ec. Quod etat l
  51. ciendum.
  52. modoostenditur quadeato BD aequari rectangulum F CP: quare CA _ C, Foci
  53. Corol
  54. ostus s p te e e t e te e at t ut t p a 1 e . 1 1 a e i 1 11

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 320. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0377?run=74