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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 507

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: 0.83.

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

The machine reads it as

  1. rit
  2. erie
  3. TR.
  4. um
  5. sune
  6. e
  7. e
  8. P A R ABOL A.
  9. eROPOSITIO CCCZXII.
  10. SEO ABC paraboIX diameter AD, ad quam oFalHaH POIALCE
  11. LCD, BF: pertectoque parallelogrammo DF, auCAEML HIICA LL,
  12. sCCanS E B RCCEaS in G C: hancantem C F lineis equales G, BHL.
  13. Dico HIH puncca esse ad parabolam.
  14. Demonstratio.
  15. Vngantur AC. quoniam DF parallelogrammum
  16. es CuinS diaMCERi AC, FD, de RF linex eequi-
  17. distane laceri AF, lineis F C aequales lune rectae
  18. HI; isitur e HI B lineis x quales sunERI. dempris
  19. isicur communibus K B, manent IB, FTK linex X.
  20. quales: punctaisicur HI HI a ad parabola TUNE.
  21. PROPOSITIO CCCXXV.
  22. ISto AB C parabolae diameter AD, ad
  23. quam ordinatim ponantur lincae CD,
  24. BE, quas in G sccerrecta A C. descripea dein
  25. Per A _ C, parabola C. F A quam in A recta
  26. ContinOAE AV, _ F B diameter SIC, HanE F C lineis, pion
  27. e rectis BC proporrionales F. I.
  28. Dicoram H, HI puncta quam l, I ese ad parabolam.
  29. Demonstratio.
  30. iSc enim ve AG C rectangulum ad rectan-
  31. oulum ACC, siC AP D rectangulum aa
  32. rectangulum AV D: lcd vE ACC rectanou
  33. lum estad rectangulum ACC, sic FG linca
  34. est adb lincam F C, id est F. FT linca ad lineam
  35. FH: ixituT _C HIF est adHIH, VE AF. D rC.
  36. ctangulum ad rectangulum AE D: SimiliceF
  37. octenditur, esC F I ad F T, vE A E D ECCTan-
  38. sulum ad rectangulum AED; punctaigieur
  39. LI, FL vei ec Y, T, cpuncca ad parabolas lunc.
  40. PROPOSIETO CCCZZVI
  41. DArabolam AB C concingat in A li-
  42. L nea AF: ponatur aurem sectionis
  43. dIaMCEer A. D, d illi parallelae F. B: dein
  44. rectis L Bproportionales hanelinex BF.
  45. DicoA, F, F puncta ese ad parabolam.
  46. Demonstratio.
  47. VeanCuF FC parallelx concingenti AF:
  48. cumisituE bevE E B ad F B, sC BF, ad
  49. BF, CriE quoque B F ad B F, VE F B ad F B.
  50. sedrario FB ad B B, duplicaca est rarionis F A ad F. A, 1d est F C+ ad F Cigitut e
  51. racio E F ad F. F, id est A C. ad AC, duplicaca eAt rarionis (r F ad Cr H: 1B1CuF A, F, t
  52. puncta Cunc ad parabolam.
  53. 67
  54. Bn
  55. B47. Mcoius.
  56. e . 9. ttlo
  57. PRO
  58. e te et ta t a e ta stt
  59. se s 3

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 507. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0564?run=74