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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 130

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: 0.80.

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

The machine reads it as

  1. pum um mmm quue an1
  2. 11
  3. DR OGR ESSIONES.
  4. Demonstratio.
  5. DEroctuas cHMaMIC.
  6. cundam huIuS; co-
  7. la planorum leties Ml
  8. M ad seriem NK, ve
  9. Placum AM ad placiu
  10. aabesut ve plana
  11. Enc similia; duplicatam
  12. hiabenc racione balium
  13. AB, BC; crgo series
  14. MdalcemKdu-
  15. plicaram Habet ratio.
  16. eibi eadacte. lla
  17. autem per corollarium
  18. Propolc. Praecedentis.
  19. progressionis bahum
  20. AB, BC, aC. terminuS
  21. es R, CrUnEIgIEUE AK
  22. BR aC. K ereS corinuR
  23. proporcoales. unde
  24. l
  25. Eit SE tCC 20NCI S 1IS..
  26. Et L. 11
  27. CaciotLade L clpu
  28. eata est rationiS AR
  29. ad B R, idestrarionis A B ad B C: erxo series MK cM ad Ceriem NR, vi AR ad CK:
  30. croz. A. Quare per convertionem rationis series M R, est 2d planum AM. VE A R ad C R: de.
  31. inde quia series AB, B C, CD, DF, _C. id est linca A K, est ad seriem AB, CD, _C.
  32. ve C A ad B A, eric alcernando AK ad C A, ve scries AB, C D, _C. ad A B: scd
  33. serieS planOTUM MK, est ad plaNuM AMI, VE AK ad C A, cr9O FCrICS MK est ad
  34. planum AM, releries AB, CD, aec. ad AB. Duoderat demonstraridum.
  35. Manifestum.
  36. Xdemonstrationis dilcurtu patertoram planorum seriem esse ad primum planum,
  37. ivc K A ad C A. Quod quia poste a vsus veniee, lixillarim nocare placuic.
  38. PROPOSITIO CXXVII.
  39. IIdem poliris (IC AL differentia primX AB, X cerri C. D.
  40. Dico cotam limilium planorum Ceriem esse ad primum planum ANI
  41. ve A B prima balis, ad A Lprima de cerria differenciam.
  42. Demonstratio.
  43. 13 huim. Fulaclincis A L, AB certia S P concinue proporcionalis. Ixicur S F saequalis eAtro
  44. ei scricibasium imparium AB, CD, F F, e c. ergo per praecedentem tora series
  45. planOruM M K est ad planum AM ve S F ad AB: Acqui ex constructione AB est
  46. 2d AI vc S F ad AB; erZo coca series cA 2d planum AM, ve AB ad AI. Quod
  47. erac demonstrandum.
  48. er0103t11O
  49. 212
  50. 2. hnima
  51. HS.
  52. Octum politis, terminum habens longicudinis, punctum RL: AaF aurem
  53. per octuagelim ahuiusS P, aequalis seriei balium imparium AB, C O, _c.
  54. Dico rectangulum super ST in alcicudinc AB aquari cori serici qua
  55. dratorum M L.
  56. Ademmanente Rgura, data sic quadrarorum series balibus in dire-
  57. Demon-
  58. o ute ue e e iu e se p e e i ue u p e . e t t pnndi

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 130. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0187?run=74