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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 134

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: 0.79.

Original at the GWLB · Page image · Annotations (IIIF) · Download text

The machine reads it as

  1. CF
  2. plana AMB, BHB. cl. uma mer que Polta Cut B a, C B, V. 16, Pd.
  3. rallelae incer se, ipsisque AB, BC proportionales. quare per lemma praecedens pun-
  4. eta as B, 3, ec. cum puncto R Cunc in vna cademque linca a R. que cum similiter
  5. dinila (C, ac linca BK, manifectum est proorestionem linearum aβ, By, ec. termi-
  6. nari quogue in R. Sunt aucem ex punctis a B, y, ec. crecta parallela latera aM
  7. BN, 7O, _c. quae laceribus BC, C D, D R, hoc cA ipAS aB, By, YE, TUINEPFOPOT.
  8. tionalia (qua oma palent ex coquoa AML. BN. C. O. ec. limilia plana uunc limili.
  9. cer Gue POlica) ergo per lemma, linea M X crancper omnia puncta M, P, O, P,
  10. eec. Quod erac demonttrandum.
  11. eet
  12. Sinciam plurium lacerum figurae quarum series cerminetur in K. Ouoniam igitur
  13. Seo lincarum AB, de
  14. CD, ec. Prosletsio ter
  15. aca In R. d ex punctis
  16. A, B, C, _EC. CFIGANEUE AM.
  17. BN,
  18. DP
  19. se parallelae; de p
  20. c. inte
  21. ortiona.
  22. _C
  23. Leta.
  24. c
  25. pl
  26. lal32
  27. allumpinque duabus lineie
  28. LAISI AMI, CO, PCF M _ Odu-
  29. cacur recta MO.
  30. Dico hate productam incidere in K ac per omnium reliquarum extremicates
  31. TFanEITC.
  32. Demonstratio.
  33. CTeNiM IERNON CE; igiTuE MO producta, cis vel vIETA R in B concurret cum li-
  34. nea AK; d quoniam progressionis AB, BC, C D terminus eA R, CruNE AK
  35. a82. huins. B R, 2CR, DK, F. R proportionalES CONCINUIX. QuarC CTIaM A K, C R, F K ex Xquo
  36. br. huius.
  37. c106. B1
  38. sunE continUX. vnde BVE AR ad CR, SC AC ad C F. Aequi C A C est ad C B, in
  39. duplicata rationis AB ad B C, id est ex hypochesi racionis ANI ad B NV; CESO AR
  40. est ad C K, in duplicata rationis AM ad BN: sed ec rario AM 1A CO (VE ex da-
  41. eis colligitur) duplicata cAracionis AM ad BN, ergo AM cA, ad C O, hoc est
  42. NO V ad OV, vE AR ad C R; quod est impossibile: non igirur OCCUErCE MO
  43. ips AK cis vel vlEra R. Ouod erac primum. hoc aurem sic demonstrato, pater se
  44. cuncapars ex lemmare propolitionis praecedencis. Dux eranc demonstranda.
  45. 1n2s XLC 240IS P R O. P O S + F 1O - C.XLXHI
  46. At, eC 2B+
  47. e
  48. 115.
  49. Scplatoul Lcclltula lu nllcccque Polucorum locics
  50. MK, reiprius; e cerminus sic K, per quorumlibet aurem duorum
  51. planorum AM, CO rerrices ducatur recta MO.
  52. Dico hanc productam cadere in terminum IE ac per omnium reli.
  53. quorum
  54. e t erst e se A e et u p te ate et e e pe u ut e e t e t te e e s e e e ete e e 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0191?run=74