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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 296

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: 0.88.

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The machine reads it as

  1. L. L. IPSIS.
  2. R O POSITIOC
  3. Ine AB, B C diamerri conius Alx inxquales, et ex A recta guauis
  4. ducatur AD Sccans elliplim D; cui ex C porallela ducatur C F
  5. Demonstratio.
  6. DRimo cadane parallelx ad eandeni partem ellip (eos: Du-
  7. cancur rectx linex P. A; D C. Ouoniam AD, F. C linca
  8. Sibimucuo aequidistanE, CruINC = lEGIENEA P AS D C in-
  9. cer se aequalia, adeoqueb AB F; DB C sectores aquales.
  10. addito igicur communi ABD; crunt F BD; ABC sC
  11. ctores incer se aequales. quare cum virius sectoris larera
  12. B A, B C sincdiameeri coniusacx, cciam alcerius laFeTA F B,
  13. BD sunc coniugacX
  14. Sccundo cadant AD, CF parallelae ad parres elliptis
  15. opposicas: producancur semidiametri AB, D B in HI e
  16. T iunganturque puncta HIT. Ouoniam AB; BC TUnECOn-
  17. ugaca eric csectot A B C quarca pars elliplcos, led AFI dia.
  18. merro dbisecar elliplim, adeoque porrio ACII, dimi
  19. eium est ellipscos. Freo AB C sector dimidius est lemi
  20. ellipseos AC FT. ac proinde aequalis sectori C BII. quie
  21. durem YFT per rg: huius est parallela ad D A. cui exhy-
  22. Pocheheciam C P est Parallela, crune IFI. C P incer (o
  23. Parallele. ergo setimenta c CI, F FI adcoque de lecto.
  24. resFC B I, (sB F. xquancuriaddico isicur communi LBH.
  25. sector IBF aequalis est sectori C. B FI, hoc est, re iam
  26. ance octendi, sectori AB C. quare cum sector ABCS AF
  27. quarca pars ellipleos, sive dimidium lemiellipleos; eriam
  28. sector PB F erir dimidium semiellipleos, hoc est portionis
  29. TF D, quam esse semielliphim pacec ex C oroll. a5. huius.
  30. Eroosector TBF hoc est lector ABC eqvalis elt lecto-
  31. ri EBD. Duare cum AB, BC sinc coniusatae, ctam
  32. DB, E B erunc coniugaca.
  33. Sintiam AB, C B, icem, F B, DB diamerri coniugata iunganEUrGUE AD, F. C.
  34. dico AD, P C lineas ese parallelas. Sin vero; ducacur ex A ipA F C paraHlela AF
  35. innoancurque F B: cricisitur IB diameter consupara ipli F P persecundam pais
  36. cemhuius: Ccd DB per constructionem coniugara est diamecro F B, ergo cidem FB
  37. plures diamerri unc coniusarx. Quod herinon porest. isirur AF non a quidistacipu
  38. P. C. idem ostenditur de quauis alia. ergo AD sola parallela eAt recta F. C. Quod
  39. crac demonstrandum.
  40. eR0P051I1O Ct
  41. le in AD C empCasasCetum B guauis diamectorum Contugalio
  42. AB, BC: iunetisque punctis AC, lecer AC lineam in L Mlaierer
  43. quaecunque BD, cui coniugata ducatur BF, ductâque linca FD secet
  44. AB diamerrum vecunque in 6.
  45. divilas.
  46. LUNGANEUFE C B, DB.
  47. 5I. huit
  48. huin
  49. C46. huius
  50. 1Coroll. 45.
  51. huius
  52. BicO E B, DB diametros eAc conivsardS _ CONETA.
  53. Dico AC, FD lineas, vei ec BD, AB in F. et C proporcionalicer esse
  54. Demon-
  55. o

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 296. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0353?run=74