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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 209

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: 0.82.

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

The machine reads it as

  1. ctune
  2. deat
  3. clle
  4. e
  5. M
  6. a
  7. Ei
  8. Ie
  9. Iuni
  10. vero
  11. etsi
  12. raCa
  13. CTR CYL YS.
  14. eROP OSIT1O LXXVIII.
  15. Ecenc teledenuo in C adrectos dux quavis AB, D E, in circulo
  16. ABD, ee luper parcibus, circuli describantur.
  17. Dico illos simul lumpeosxquales esse circulo ABD.
  18. Demonstratio.
  19. eculiinteele cam rationem habene quam
  20. a diamerris a deleripra quadraca: octendi-
  21. nus aucem praecedenci propolicione quadra-
  22. ea AC, CD, CB, C F. aquari quadraco dia-
  23. mecri circuli ADB; igicur de circuli supee
  24. AC, CD, CB, C F, deseripci xquales Cunr cie-
  25. culo ADB. Quodtuic demonctrandum.
  26. PROPOSITIO LXXIZ.
  27. Emicirculo AB C inscripra sine
  28. Periangula quECUnGHC AF C, A DC,
  29. actaque contingente HIK quae A C diametro aequidistet, POnAnEUE L. I,
  30. DK normales concingenti FI R. v1
  31. Dicoquadrarum composiex ex AF, P. C, ad quadracum composicx,
  32. ex AD, DC eam habere rarionem quam concinet E. I ad D R;
  33. Demonstratio.
  34. DOcea HB diametto duearrut ad illaim
  35. normalicer R F, D G iunganeurque P FI
  36. DII E B. D B, quoniam F F normalirer in(I.
  37. Rit rCCtEBHI, CTUNCEHI, HIF, HIB, lincx in
  38. corinua analogia, ve ex elementis pacee. vn-
  39. de rectangulo FTIB, aquatur TIE quadra.
  40. cum; cademqué de czusa quadraco HID,
  41. rectangulum GFTB; quare ve FTIadOTI.
  42. hoc est F I, ad DK, AC F HT quadracum adt
  43. DH quadracum: Rursum cum sIE vE HIF
  44. ad HD, ItA COMPOSICA B CK AF, FC, 2d
  45. COmPOTiTa CX AD, DC, erit re quadra-
  46. um HE, ad HID quadeacum. sc quadra.
  47. um composica Cx AF, F C, ad quadracum
  48. compot ex AD, DC; igicur ve F Lad
  49. OK, ica quadratuM COMPOIILX CX AR, PC.
  50. ad quadratum composiix ex AD, DC.
  51. Quod demonctrandum Fuit.
  52. eKOEOSHIIOEXXK.
  53. uodecr
  54. Emicirculo ABC inlecipea line crlansula duo aBL, Ldi ae
  55. que ex C, ad oppolica larera recte ducantur C F, C. F, vrcunque.
  56. Dico siincra aream circuli occurrane rectis AB, AD, in E, F, quadra-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 209. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0266?run=74