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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 95

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: 0.77.

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

The machine reads it as

  1. San.
  2. o8i
  3. 1
  4. q
  5. nest
  6. Prinus
  7. EAB
  8. nalo.
  9. iIK
  10. FC
  11. PrO
  12. sUn
  13. icuI
  14. AC; A
  15. rd
  16. i
  17. D
  18. GEOML =RIC X.
  19. PROGRESSIOMVM GEOMETRTCARVI
  20. L a
  21. O
  22. S F
  23. Terminum culuscunque proeressionis in infinitum continuata desienat
  24. L LdtLe Laa
  25. IFuerit magnicudo AB, ad magnicudinem B K, vemagnicudo B C ad
  26. Omagnicudinem CK.
  27. Dicoproporrionem AB ad BC, sinc termino continuati actu pollé
  28. incramagnicudinem AKE, ica venum quam ad IL perveniatur.
  29. Demonstratio.
  30. FTacenim ve AB ad BC, hC B C ad F. quiaisitur AB eA ad B R, veB C ad C K,
  31. cric alcernando ve AB ad BC; id est ve BC ad L, lic BK 2d CR: ex rurtum
  32. alcernando, veBC ad BK, licP ad CR: quare cum B C ex daeis, minor (IC, quam
  33. BK; Cric eriam L, minor quam C R: poreric ergO IpAL, ex C K Cumiaqualis CD:
  34. crancautem A B, BC, L, ires concinuae proporcionales; ergo _ AB, BC, CD treS
  35. Cunt continux. Fiat iam his cribus magnicudinibus continue proporcionalibus AB,
  36. BC, CD, quarra proporrionalis concinua M: quoniam isicur paulo ance ostendi cAe
  37. BK ad BC v CK est ad L; live C D, eric dimidendo ex inverrendo, BCadCR,
  38. Ve CD ad DK: eodem plane discurlu octendam, M esse minorem ipsa DR, quo
  39. ance L Octendi eite minorem ipsa CK: porerir ergo ipsMI, ex D K abscindi D F xquia
  40. lis. Sunc igitur quaruor magnicudines AB, BC, C D, D F. concinux proportionales:
  41. Reque ica demonstrabimus proportionem AB ad B C, inera lineam A R fINC TEF-
  42. mino posse actu concmuaris ita re nunquam ad K petuemiaeur. Ouod erac demon-
  43. ArandUI.
  44. R OPOSITIO. LXZVI
  45. IFUCTICMIASHILaO A B, ad magnicudinem B K, remagnicudoB C, ad
  46. dmagnicudinem C Is; e proporrio AB ad B C, concinuetur in magni-
  47. cudine AK; per plures Terminos CD, DF, E F, _C.
  48. Dicoctiam CD, Tore ad DK, et D F. ad F. H, de sic deinceps, vt AB
  49. eAt ad BK e BC ad C K, _c.
  50. Demonstratio.
  51. sic CD, ad VR. non alicer oltendemus ve CD ad DR, SC cA0 D E Ad ER3 aF
  52. que ica deinceps in intinicum. Quod erar demonstrandum.
  53. Vandoquidem AB est 2d BK, BE BC ad CK, eric alcetnando AB ad BC
  54. Lhoc est ex datis BC ad CB K al CR: de rurlum alcernando ac inver-
  55. rendo K B ad BC, vei R C ad C c Macnao seecendo, bee aCR,
  56. P R O

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 95. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0152?run=74