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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 111

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. iomu
  2. Eopo
  3. lim
  4. exti
  5. equale
  6. cleu
  7. ion
  8. M
  9. TermI
  10. Perie
  11. P: D
  12. qual
  13. L, 1d
  14. licato;
  15. 1
  16. cratio
  17. DFOCC
  18. tiones
  19. GEOMETRIC A
  20. PR OPOSITIO CVI.
  21. AEx Sne dux rariones similes, AB ad L V, a DC A DF, qua
  22. cerminis (ic alternatim politis, ContinuentuT.
  23. AEULMLL.
  24. Dicoveriulque rationis in in Cortuata Me Cemu
  25. Demo.
  26. ronam ex hypochesi AB est ad C. D, ve B C ad D F; crir permurando compo.
  27. nendo, rullumque permucando A C aet C L DBC ad DL: similicer quia
  28. cando, CF ad F C, vE DF ad L Cii hoc est ex hypocheli ve BC ad D F, hoc estex
  29. iam demonstraris, ve AC ad C. P: TUnEISIEUT A C, CP, F C COnFINUIX propOrciOMA-
  30. les. Ouodsiraciones AB a l C.D, ex B C adD F, in infinicum concinueneur, osten-
  31. dam paricer, rarionem AC ad CB, in infinicum concinuari, per cerminos continue
  32. proporrionales AC, C B, P. Cn eC. Inueniaturisicur a cerminus serici AC, C B, P C1, a8. huins.
  33. Kc. licque R. Leaquenon espunctum alsignabile, incor puncta A d R, vlera quod
  34. non cadat alignis cerminus seriei A C, CF. F. G. Ouare cumrarionum AB ad CD,
  35. ex B C ad D E concinuatarum, cermini omnesica concincantur in serie AC, C F,
  36. ec. vesinguli cermini seriei AC, C F, _cc. concineanernum cerminum rationis A B
  37. ad CD, de rnum cerminum racionis BC ad DF; manitestum quoque est nullum
  38. punctum alsignari pose incer A _e R, vlera quod non cadac aliguis cerminus, cam
  39. rationis AB ad C D, quamracionis BC ad D F; neucraisiur leries terminabicur
  40. inter A e R: Sed neque rili dictarum rationum cermini eran siliene K, cum perpe-
  41. cuo concincuneur in serie AC, C R, P C, _C. (quae ex constructione non transilie
  42. onquam K) ergo binx seriesrationum AB ad CD, e B C ad D F, cundem habENE
  43. cerminum K. Quoderac demonstrandum.
  44. CD Cs ad P F, VE D P ad F G, cric permurando componendo, FuRTUM GLE PErU-
  45. V
  46. Ronicudo AB bisecta siC LH C, DC AMICIMMB; aC DIM L;
  47. ADE in F; _ F F in CI; d F C in l; acque hoc semiper hac:
  48. Dico alterna huius progrenos cel lore in puncto, quo ma-
  49. onicudo AB, diuidicur in parces, habences rationem quam vuum ad duo,
  50. siucrerminum progretionis ablcindere BC, certiam partem magnicudi-
  51. nIS AB.
  52. etbd otib.
  53. Voniam DC dupta cst C. E, e BC dupla DC, exit BC, hoc eA A C, quadeu-
  54. pla iplius C P: similicer Cunt LL cpia CL, _ D L. dupla L R, Cric _E DL,
  55. hoc es CF, quadrupla P C; lunc isitur AC, C R, F. C tres concinux in proporcione
  56. quadcupla. Deinde cum B. D ex hypochesi dupla sic D F, ec CD dupla F. D; Cricice.
  57. rum C D, hoc eA BD, quadrupla DF: Similicer quia CF dupla elt FI, ex F L du-
  58. Pla GF, eric P F, hoc est D F quadrupla F L. luncigieur BD, DF, F. L concinux in
  59. ratione guadrupla. Jeaque E alcernailla bil ectio sine Racu continuetur, consticueruE
  60. verimque progressio in intinitium, proportionis quadruplx: _e quoniam AC qua-
  61. drupla est CF, exic _ BC ciusdem CF. quadrupla: cA verO _ CF, quadrupla
  62. L C, acque ua in infinicium: progrelsioisitur A C, C L., L. C, XC. endem eAt cum pro.
  63. Bretsione

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 111. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0168?run=74