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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 118

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: 0.84.

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The machine reads it as

  1. 2
  2. P R O G R F SSTONFS
  3. erro sectio ipsius F B, in rarione V ad Z, Cadic vlera D, versus B: ergo cum criam vlera
  4. R versuS A CadaC, InCEFD e K, continsaenecesse cA, nempe in F; similicer lectionell
  5. ipsius F Aincer I _ F, Fucuram in C demonstrabimus, acque ica in infinicum; alleu
  6. P A RS SE CVND A.
  7. IIdem positis: ( C CadaCinEeF L _ R (NZ RInCeF B _E K caderet, Forer casus prima
  8. parcis) simili plane dilcurtis demonstrabimus eadem omnia contingere que prius,
  9. lus enim idem omnibus diuiliomibus sequencibus quadrat.
  10. hoc lolum mucaco, quod ligna divitionum en Cn LoR, ex C. D F, FIM, e C. ad alcerum
  11. acus orde Conaeu.
  12. 2
  13. TF
  14. Aca (ic proporrio V de Les emascsao AB ita lectain le R, n
  15. ia au B, aD alA, HelCV elt ad X. Alicer deinde di-
  16. uidacet B L GuoClgue tandem loco cadac C, modo noninci-
  17. FiaE aurem C B ad D B, vEV ad Z; ee D A ad F A, ve V ad Z: icen
  18. EB ad FB, dF AL Aa GA, _ GB ad BEB, _ FI A ad L A, Fucrincin.
  19. cer sc reV, eltad X: Arquehoc Cemper concinuetur.
  20. Dico alcerna huius progrestioniscerminos, Forein L et K, ubi AB, di-
  21. vidicur inratione V ad X.
  22. dat in I auE R .
  23. omomratio.
  24. Voniam est ex constructione C D au DB, M L. B ad F B (luncenim veraque 2d
  25. arg. Guin. Linvicem in ratione V ad X) criam C B reliquum, D F reliquum, erie ve CB ad
  26. D B, id est sicuE V ad Z: _ quia D A cA ad F A, vE F A ad C A (nempe inracio-
  27. AC V ad Z) rurtum eric D F 2d F G, VE F R ad E A, hoc est ve V ad X: sunc igi-
  28. TuT C E, D F, F Cntres continux proporcionalesinrarione V ad X. ergo racio C F
  29. ad FC uupmeala eh laliono V dd a. Smmer olendems L. bHL. CL CMC
  30. continuas in ratione V ad Z, idcoquerationem F. C ad C L, duplicatam cAC r2-
  31. tionis V ad X. Cum ergo criamrario CF ad F C, Sc racionis V ad Z duplicaca,
  32. CrUNE CF, F, C, CFL, in continua analogia; aeque ica continuando (ine Aaru alcer.
  33. nam illam divilionem, demonstrabimus consticui progreltionem magnirudinum C B,
  34. EC, OL, LN. ac. concinue proporrionalium in ratione duplicara V ad Z. ab alce.
  35. ravoro parre, eodem plane discurlis ostendemus D F, F FI, FIM, _C. eNe continuas
  36. inracione duplicata V ad Z; ac proinde sic quoque constirui progresionem pro-
  37. porcionis duplicaex V ad X. vlcerius quia A R est ad R B, ve B Lad L A, componen-
  38. do AB cric ad R B, ve AB ad A I; ideoque K B, AI aequantur: addicaqi IR com
  39. muni, aegualeS CrUNE IB, A R: ErSOVE AK ad R B, id elt ex costructione ve V ad Z,
  40. b1g. 6 uin- RB. AItaCt C1BO FB, RB, CP erir b ad DR, reC B ad D B religuum ad reliquum,
  41. hoc est ex costructione ve V ad X. similicer demostrabimusD K ese ad L G VEV ad X,
  42. Crun
  43. sc IB ad KB: Dunre cum e CB al DB. Hee ad L.cciam CB cric adD B, velB
  44. u u as es p e e pt 1 . i . . i t u 1u a aa iuo u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 118. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0175?run=74