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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 72

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.

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The machine reads it as

  1. umpmmmn
  2. P R O GR F SSLO, N F S
  3. PR OPOSITIO XXVII
  4. Vine duo ordines continue pro-
  5. Lporcionaliuma avee
  6. a A, b, C, D, F, F, e A, 63
  7. Dicoproportionem FI ad C, el-
  8. se duplicatam proporcionis ad B;
  9. rationem lad D, rationis C ad B
  10. essecriplicatam: e rationem R ad F
  11. quadruplicaca. ret a Gu
  12. cuplicacam cruldem rationis ( ad B:
  13. . Sexti.
  14. quorcunqe es alia plane methodo demonstrabimus.
  15. 10
  16. cC1. L
  17. eet
  18. Llum FTA, QuadraTO G, _CTCCAMBMHI C H, Guadracoa B equale cric. vnde re-
  19. b20. Sexti ciin guadraca G, B, sinc b induplicaca ratione basium C ad B, erie e rectangulo-
  20. rum ploporcio duplicaca, rationis C ad b: led lactoetanguli ITA, ad rectinou-
  21. lum CA, estracio cHI ad Cs ergo proporcio HI ad C est duplicaca racionis Cr2d B.
  22. Deinde quonian cam G, FI, I, quam B, C, D, sunc continux, eric rectangulum LC
  23. quadraco II, et rectangulum DB, quadrato C aequale. icaque rario rectangulorun
  24. 16, DB, hoc est racio d compolica ex proporcionibus lacerum L ad D, ec C 2d B.
  25. aequalis est racioni quadraci TI, ad C: aequiracio quadrarorum HI, C, est quadrupli-
  26. cacarationis G, B; (eA enim racio quadrarorum HI, C duplicaca racionis II ad C.
  27. quae octensa modo eA duplicata rationis C ad B:) ergo proporrio compolica exra-
  28. tionibus I ad D, _ C ad B, cA quadruplicaca racionis C ad B. ex quo pacet racio-
  29. nem Iad D Colam, esse criplicaram rationis C 2d B. Simili discursu demonstrabi-
  30. musrationem K ad B, eAe quadruplicatam; de racionem L. ad f. quincuplicacam
  31. rationis C ad B. Constar ergo veritas propolicionis.
  32. PROPOSITIO XXVII
  33. InEduo ordines COHCCALI AI, B, C, D, E; _ A, F, C, FI, P eandem
  34. Mactiprimam A: Penalut aduen tertius ordo continue proporciona-
  35. lium; K, L, M, N, C, lecumoordini similis; ita tameH VE A de IL, Sine in-
  36. aequales. DCieMCL FErTIAS C _ C, Donacur media P; dt InFEF QuaFFaS
  37. D _ HI, ponancur aa ea_ R; candem incer quintas ponantur
  38. CT. SexIi.
  39. a rronni
  40. 100
  41. ee su ncum.
  42. Demonstras hanc Zucl. lib. 24. pr. 28. de quaruor concinue proporcionalibus. Noseandem de
  43. demonstratio.
  44. Voniam eam A, C, FI quam A, B, C lunc concinua profbiconales, rectangu.
  45. ctangulum FTA, ad rectangulum C A, eA re quadrarum Cn ad quadracum B: itaque
  46. eres medix S, T, V, _ ita deinccps.
  47. Dicoesse ve a la alL, le alt, t alt , lec
  48. Demon-
  49. oti u i e . uu u .i1 i 1 i t i. t a a p 1 a u g pu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 72. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0129?run=74