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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 392

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. aCoroll. 25.
  2. ains
  3. 1bid.
  4. D. huins:
  5. 59. huttos.
  6. e Corocl. 35.
  7. AR ADC
  8. Demonstratio.
  9. CIn vero: Ponancur continue proportionales CL.
  10. CD, CHI a ex HI ordinarim ducaeur EIC7, 0c
  11. curtens LB linex in C: critisicur punctum C, ad
  12. patabolam ABC: adcoque linca AB a Parabola
  13. ibus punctis occurrie. Ouod heribnon pocest
  14. vnde CF, CD, CF concinux lune proxorcionales.
  15. PRODOSITIO LXIIL
  16. Sro parabola ABC diameter guxcum-
  17. Lsque BD aequalis laceri recto, aetaque
  18. per D ordinatim AC, que parabolX occur.
  19. racin A_ C, iungantur AB, BC.
  20. Dicoaneulum AB C eserectum.
  21. Demonstratio.
  22. Voniam BD diameter laceri recto aqualis elt,
  23. Le A C ordinacim posica lincae DB, cD A,
  24. C aquales sunc. adeoque e puncta ABC, ad
  25. circulum cuius AC dismeter eAt: angulus igieur
  26. ABC rectus est. Ouoderar demonstrandum.
  27. AOPOSITIO LXIV.
  28. Demonstratio
  29. p
  30. suis AC, quxe parabola OcCUTFAC In A _ C, IUnGANEUEAB, BC:
  31. Dicoangulum ABC esse rectum.
  32. Sco A B C parabolx aris BD aequalis laceri recto, act à que per D qua
  33. DOnancur ex a d C ocaac a A Ls C Ct.
  34. cruncigicur BF, sBD, BC linca proporrionales;
  35. quia vero BD media aequalis laceri recto cA, crune
  36. EBL, CLBC criangula similia; e angulus BAF
  37. aqualis angulo EBC, id est CB C: led angulus
  38. B A F. una cum angulo ABF, recto est xqualis, quid
  39. angulus AR B ad axem rectus est: isicur ec ansulus
  40. CBD onacum angulo ABF. enirecto sunCXqua
  41. les. rectusixicur abis clus B C. Duod erac demonstrandum.
  42. ROPOSITIO LX
  43. IIdem politis.
  44. DC duplicata est.
  45. Dico AB adBC, eracu HabetC TatOneM etuS, CHIUS AV ad
  46. Demooratio
  47. Voniam in criangulis GBF, CBC anguli ad G recti sunE, linCXqUC RC, OC
  48. Laquales exhypochesi, crianoula FB C, C B C incer le aequalia (unc, d PB, C B
  49. F3d. um. CX quoque aequales: Vnde Cum EatIOA B ad LiB, EiplCaCA AC eIuS, cuius dupi.
  50. Cacam
  51. M BI A et . 1 u e. 1 1 . . t e u . ue . 1 l 1 1 . . 1 1e. 1. p. . . 1 . . 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 392. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0449?run=74