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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 480

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: 0.85.

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

The machine reads it as

  1. A R A B OF
  2. PROPOSEETO COLXXI.
  3. VIE ABC parabolae diamerer AD divi-
  4. Cain E, F, C punctis ve AC, AF, AO.
  5. AD linex line concinue proporcionales:
  6. policilque ordinarim FB, FHI, GI, C D,
  7. iungantur AB, AHI, AI, AC.
  8. DicOICOMENTA AB, ABHI, ABI, ABC
  9. in continua cAc analogia.
  10. Demonstratio.
  11. Q Acio sermenci AB ad sesmentum AFI eri-
  12. plicaca est ejus quam habec: B F ad FI F. rur-
  13. sum AB HI seomencum ad lcgmencum ABPeri-
  14. plicacam habet rarionem FTL ad TC, et Ac de
  15. eaeceriss led E B, FH, CT, CD linex concinue
  16. b sunc proporcionales, quoniam AF, AF, AC, AD
  17. b33. huu IH Continua Poluntur ana logiasigicur ee segmenra AB, AB HI, AFII, ALC lunc in
  18. racione concinvaca. Duoderar demonstrandum.
  19. PR OPOSIETO CCLZRII
  20. NIE ABC parabole diamerer AB, divila in F _E F, VE A L, A F, AD
  21. linc proporrionas, de ordinatim ponantur EB, FG, DC: iuneat
  22. Dico seomencum BeA lesteneum CC rationem habere criplica.
  23. cam eius, quam habec EB linea ad lincam P6.
  24. Demonstratio.
  25. resstons.
  26. Ex et
  27. elt00
  28. a
  29. tarque B6, CC.
  30. proportionales UnE, R I CAtAdF D, C VE A F 2d AP,
  31. id cM ve quadracum EB ad quadracum F Cr. led raclo
  32. crianguli E F B ad criangulum D FiC dcompotica est
  33. ex racIONC F E ad FD, _E ex E B ad LO; criangulum
  34. igicur F F. B ad D B C criangulum, criplicacam Habel
  35. racionem F B ad F Os obdem modo rriangulum F BC
  36. ad DCC, triangulum eriplicacam habet cacionem FC
  37. ad DC; (cum rationem habennecompostra:m ex B. F ad
  38. FD, alciendinc ad alcieudinem s_ ex F O ad DC, id
  39. est E B ad F C; (cum BBIFOsD C proporcionales Cin1)
  40. igicur eocum rectilineum RB CE estad eocum rectili.
  41. neum FCCD in criplicaca racione FB ad P C; led e
  42. x242. nam cum E B, FC, De Poeaes, Patabola quoque F AB, F AC.
  43. Fleomencum BC. est ad reliquum CC, in criplicaca ratione B. B ad F C. Ouod
  44. )Vcancur FB, D G. Ouoniam AR, AF; AD line
  45. mixtilineum E B C F est ad mixcilineum DF CC incriplicaca rarione F B ad FO,
  46. cD AC in conrinua sunc analogia: 2cC ve ABF. parabola est ad parabolam
  47. quinci. F AC, SIC F BC F mixcilineum est ad mixcilineum FG CD. isitur de reliquum
  48. exar demonstrandum.
  49. PP
  50. t u ue u eis ue te pt e t uet ete e e a ute ue u te stt pte et at u e 1 te a e t t a t . t t a pe t t ti et e u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 480. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0537?run=74