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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 437

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. et
  2. V
  3. t
  4. de
  5. C
  6. a
  7. 10
  8. 2d
  9. t
  10. TF
  11. 1at
  12. p.
  13. 11
  14. D A R A BO L A.
  15. proporeionales. lune aurem de ATT, A T, 2. A C linex criam in CONFINUAtRFACIONC; 151- 2F
  16. 67
  17. cur A C AFI, AL. A C eandem concinuan analogiam. Quod etac demonAtrandum. huius.
  18. PROPOSITIO, CLXXILI.
  19. Ildem posiris ponatur ordinarim C. D.
  20. Dico AC ad A C criplicatam habere rationem eius quam habet
  21. Demonstratio
  22. DVontam A G, H H, AI, AC lines per praecedencem continiix proportionales
  23. LsunE, ratio AC+ ad A CD criplicata eAt eius cuius A FL 2d R C eIFADPHCaL: Sed bEr27. de
  24. AHI ad AC, id est AF adt AD, racionem habet duplicatam BL a CD: isi propressioni-
  25. cur A C ad AC rarionem haber criplicaram ehus quam habet B L linea aue
  26. CId. Duod erat demonstrandum.
  27. eRO POSI FIO CLXXI
  28. darabolam ABC cuius diameter AD COnFinGAE II A AIACA AL,
  29. Politilq; ordinacim CD, F C7, per D d A parabola describatur AHI F
  30. cuiuscangens AB, diamerer AC: ductaque AF, ponatur AC, SCCANS
  31. AIIF parabolam in I, rectam FC in HC puncto, ex quo crect a diametro
  32. IEB, ducacur ordinatim linea BL, occurrens A F. linex in MI, rectae AC
  33. in N, e parabolae ATIF in II.
  34. DicoCD, FO; BL, M L, NL, HL lincas in concinur esse allatogia.
  35. Demonstracio.
  36. FRivatur Ex F diamerex FF. Ouoniam B K equidi.
  37. LstaE diamerro AD, recta C D, F C, B L proportiO-
  38. nales sune: Sed _ F C; B L, M P. quoquo TUNEPFOPOr-
  39. cionales; candem isitur concinuane racionem CD.
  40. FOG, BL, HL. Rursum cum racio NL ad K C, id cR
  41. 2d BE, id estracio AP ad AC,, duplicaca Ecracionis
  42. BE ad F C, id es LM ad L B, rectX GUOqUCBL, NI
  43. NVE proporcionales lunc. Pottremo quia FC li-
  44. nea ad lineam FTL duplicacam habet racionem AV
  45. ad R C, id est quadruplicatam L. B ad C+F, id cst L L
  46. adCM, linca L HI, T. I, L M, L B, I Fproportiona
  47. les lunes isitur concinvane eandem racionem linex
  48. CD, FC BL, M L, NL, HIL. Duod erar demon-
  49. strandum.
  50. Pxopostit
  51. ZV
  52. BLdd CD.
  53. Dltabolas aquales ABC, LLVC, W
  54. leslateribus rectis, lecent aurem selepa-
  55. rabolae in C, _ ex C ordinatim ducan-
  56. eux CBs C F, demissisgueoxiA lineis, 27
  57. Qualibus AB, AC; quarum alcera A R3. 1 1 C
  58. quidem ccci AB C patabolair In B, lcavi 0 id ett . 1B
  59. NT B.3
  60. communem habentes verricem,
  61. ContinganE in A lInCXAFC, AF xqua-
  62. AC Ve
  63. 3

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 437. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0494?run=74