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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 140

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. ummummmu
  2. PROGR F SSTONFS
  3. ar2. quimi. F MC, a sic omni quadraca, ad omnia erian sula. AEqui vE AL ad L M sic eriam est
  4. inso
  5. 140
  6. sula, lic rectangulum AR ad recasum L. P. Reguirectangulum AR, aequale
  7. rohuius C cocib quadeatorum serier, enen A aqualis seriei balium imparium AB,
  8. CD, al. a AL LB) eCumienes suaatorum octenla lic xe qualis ese rectan-
  9. cr4. quin. 8ato R Clans colaaloutorum leriescectangulo I P caqualis cric. Quareto-
  10. 1S. ha. Trapeziorum GB, HIC, LD, _c. aequabitur: Se d crapexiorum series, a consticuie
  11. criangulum AC R. ereo rectangulum AP criangulo AC. K xquale cA. GuoderAE
  12. demonstrandum.
  13. rectangulum AR ad rectangulum P. P. Igicur ve omnia quadraca, ad omniatrian-
  14. cum rectatigulum XP. risgue lectet quacatorum ac criangulorum, hoc est scrici
  15. rouiunt.
  16. X discursu demonstrationis collisitur, rectangulum M L. R P, proecesionierian.
  17. Loulorum OLII, FITL, ec. ese aquale: rectansulum vero C L. R, duplum el
  18. se cjuldem crians c ppresionis.
  19. eROPOS1FIOAL.
  20. Dicorectangulum sub A, c ites C A, AB, tamquam vna con
  21. cchtum, Ecclatisulo AL aequale cAE.
  22. Sco, veprius, quadratorum series HK, inscripra criangulo AG R;
  23. SCEGue A O aequalis seriei balium imparium AB, CD, QC.
  24. Demonstram.
  25. luidatur enim LG bifariam ini MC: iBitur linCA COmPOSITA ex C A, AB, bis
  26. concinec lincaSL. MI. L. A. quare compolita ex ( A, L B dupla est linCK AM. ergo
  27. rectangulum sub AO sE CompOSTA ex C A, AB, duplum es crectanguli sub AO
  28. ee AM. Acqui per rectangulum ub A O _e AM, aguatu Hrian gulo AC K: er.
  29. eorectangulum sub A9 se GA, AB eanquam vna IIca, duplum est crianguli
  30. ACK. Ouare cum ee rectanoutum C+ AR, ciuldem erTaHUM OAL R _C duplum,
  31. aequabuntur incerle, rectangulum sub AO d COMPOUTa ex C A, AB, e rectan.
  32. Perdacta.
  33. ACuS AR criangali AFK.
  34. Ec dinisum per lincas la-
  35. ceri A F parallelas, in con
  36. cinue proporrionales AK,
  37. BR. C R. &c.
  38. Dico craperia FB, GC.
  39. D. dec. eneumilia.
  40. Demon
  41. sulum C AK. Ouoderar demonstrandum.
  42. e a 1e 1. e e 1 . 1 . 11 1 ti t 1 e 1 1 . e a s e p1. e 1 1e 1t u 1 it. p1u1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 140. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0197?run=74