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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 155

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: 0.83.

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

The machine reads it as

  1. e
  2. XC. C
  3. ac
  4. ct
  5. GE OM E E R IC A.
  6. PROGRESSIONVM GEOMETRTCARVM
  7. A R S
  8. A R T A
  9. Doctrinam pracedenti parte in planis demonstratam, corpori-
  10. bus, selidisque applicat.
  11. eROPOSITIO CLZIII
  12. Aca sic quadratorum continue proportionalium leries, balibus in
  13. directum polcis, cuius longicudinis cerminus sic K; Tupet singulis
  14. aucem quadratis cubi constrnantBE.
  15. Dico consticui leriem cuborum continue proporeionalium, quae cum-
  16. dem quoque habeant rerminum lonsicudinis l.
  17. Demonstratio.
  18. CC _EC. IM Concina alalO.
  19. porcionales. Ouod crat primumr. ex quo pacee eciam secundum: Cum eriin qua
  20. dracorum ec cuborum series, paricer Cemper procedant, idem reriulque cerminus sit
  21. longirudinis necesse est. Oux eran demonstranda.
  22. Aeio cubi AN ad cubum BP
  23. cubi BN ad cubum CO, er
  24. AB ad BC; (ponemeur enim quadeats
  25. aesraciBIIS A B ad BC, IECM PALIO d Ss. Babes
  26. est rationis bBC da CB, Id eIE FATIOMS VEV. sonb
  27. sia) quare cumraciones verxque, cubi AM ae cubum B NF; d cubi B N ad cubum
  28. CO, triplicacae Eincrarionis AB 2d BC, eadem erunE. Suncisitur cubi ANI, BN
  29. CO in concinuaanalosias eodem modo erune de reliqui omnes coneinue pro-
  30. P R O DOSITIO CL XVI.
  31. Ildchrpoliris; primae AB, e Guacta L a GualeSHaHC 15, S l: Con-
  32. Lcinuerurque rario R S ad S F, per plures semper terminos Y V, V X, _c.
  33. Dico cubum primum AM, esc ad quemlibet cubum serici propolur
  34. verbigracia ad quarrum D P, vrestlinca RS ad quarcam V X.
  35. lbito

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 155. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0212?run=74