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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 202

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. IR C V L V S
  2. oiB, d vd, db du. BBe L A LI
  3. 2C02
  4. il cic c. l03717
  5. Lguli ABC centroque D circu apet Bali descripei, circulus describa.
  6. Dico quod d alceru LC. concinser in B, P11I
  7. PToIHc BI
  8. 3S BBISBB Cd 111BS icl Demonstratio.
  9. 131
  10. DETCEITA CIrCUIOTUM ACB, BL C;
  11. rECtR PONANEUE Cx D, DG, DL:
  12. e DC quidem producta occurret.
  13. perimetio circuli ABB in puncto
  14. concactis F; DF vero in aliquo
  15. puncto FCirculi BP C, iung aneur.
  16. que DF) Fi P, cumisieur DL, DO
  17. cranseant per cenera circulorum
  18. AGB, BT C, crunELB, GB duda
  19. 2m direetum: quia verO LMF dia.
  20. mecer es circuli BPC, crie angulus
  21. T BF adeoque de OBF reCtuS, ac
  22. percinget in F. Rurtum cum LD, D C linex sinexquales, erune de
  23. (ynFD F, D Fi X punctum F perimetro circuli RP F communes _ cum ND, li.
  24. SMC Eis CHL GB B C. PA dedum. Ad.
  25. t0nC). 9. 4
  26. c
  27. eR OPOSTFIOIZ
  28. Vper crianguli laceribus conructa sine segmenca limilia AF. B,
  29. FC, BL. C. _ ab incerleclionum punctis D, F, ad puncta A
  30. aputur circulo KHI aequalis F.C, _ paral.
  31. lela rectae D A: describatur deindo circulus LK C H aequalis circulo
  32. BL. CO, d transiens per puncta IE, FI.
  33. Dico hunc tangere circulum ADI.
  34. 13. hrainn
  35. Terum similia sermenta constructa sine super sinoulis laceribus crian.
  36. CuTKFB qui circulum NOB concingat incerits in L.
  37. anguli quoque BT. D, BCD aequales; sunt aurem anguli ad B osteni recti, reli-
  38. quusigitur BF D aequalis reliquo est L FB, id cA P FD: vnde _ xequales linex
  39. B13.serig. nC2 Per F ducta, CeHETA COMIUIBAED _ M, patet circulum R P P b in L concin.
  40. C 10. huius.
  41. Demonstratio.
  42. S,NI L. PerCenErA S, N ducatur
  43. recta QSINP C, OCCUrrenS
  44. F, N Ponacut Tecla LRLH
  45. Decurrens circulo BL C in O.
  46. N, S, normalis c est ad AD, ac
  47. proinde ec ad FTK iph AD p2
  48. rallelam. Cenerum ioirur circuli
  49. telum circulorum AF B.
  50. DFC; BLC CCnETA Cine
  51. Cductis lineis D A, FC
  52. circulo AF B in T, _ circulo
  53. KGHI in C. DEL CCMCa Vero
  54. Ononiam OC iunsit centra
  55. RC TTest quoque inlinca OG. consideretur iam punctum Lguarenus est inverle-
  56. dpareser ctio circuli AEB acrectx OC. Ouoniam NIL, eA aequalis NP, _ RL d aequalis
  57. N. erso OL equalis est I Ci, qua nempe polica est incer punctum C, e punctut
  58. element. PC7. CtIC +V L a_aIo N CT. FIEVEEOSPCL ACIHOMETAEa 63 huius, etiam ON equalis
  59. e t erst A eu t e e s e e te 1 e e e e it t et 2 1 te et qee a e tu e t 1e e te e 1 1 1 .1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 202. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0259?run=74