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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 544

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: 0.81.

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

The machine reads it as

  1. ATZ PER BOL A.
  2. Constructio es demonstratio.
  3. obla Cuius alymprotos exhibere oporret: diamerer sectionis H
  4. GB, qua in Z bitariam diuila ordinacim ad illam posicx sinc AD C: deinde AaC
  5. rectangulo CDB, aliud amile FIF. M. quod aequale, quoque sc quadraco DA,
  6. cum RIM, diuis2 bitariam in NY, AAnED F, D F, aequales, NEI dimidix HIM. PO.
  7. nanturque ex centro lineE ZF, ZF. Dicoillas esse alymproros hyperbolx ABC.
  8. Posica enim B R, quae x quidistet DP, ponacur K O, Parallela BD, ex P, S aequidi-
  9. saris RB. Erie ereO vE F L ad TR, id est BD, sc KB ad BZ, siuic R V, id eAI Y
  10. dupla XB ad CB duplam Z B, ex permurando ve H I ad IX, sic BD ad BC, _ F. I
  11. ad TF, VeBV) ad D G: vnde BIF recrangulum simile est rectaneuto eDB a
  12. deoque ec mile rectanoulo HILMi e cum F D, HN ex constructione aquales
  13. tinc, aequalia quoque sunc rectansula P Y F, FI I. M: quare ex PIF, rectangulum x.
  14. quale quoque est quadraro AD. codem modo ostendicur P OS reccangulum cimi-
  15. le rectansulo C PB ex aequale quadraco Y. Rursum cum quadratum F. D, tam
  16. aequale ra quadrato AB, una cum rectangulo P. AF, quam F l F. receangulo cum
  17. quadraro TD, quadracum AD vna cum rectangulo E A F aequale est quadraco ID
  18. una cum reccangulo F PF: dempris igitur aequalibus, AD quadraco e receangulo
  19. ETP, manCE F A F recrangulum xequale quadraco ID, id est R B: codem modo
  20. oltenditur POS receangulum aequari quadraco RB; ae qualia isitur lune recrangu.
  21. b15. hains. la B AF, P O S: vide Z F
  22. Z E alsmpcorib sune hispecbola ABC. Extribuirus
  23. isIeuT, e C. Dubd erac Laciendlim.
  24. 12 l.O2.
  25. 17 h1EC
  26. (IF
  27. etrit eoroqcaite ha cL e Ct ABee EnI. ( 13
  28. Corollarium..
  29. 10.
  30. IE A BC hrp
  31. inclequicur Pous aolto L. L LL. pea ABC ex F AF, otonu
  32. cim ad diamerrum C B, ecc. ve ance rectansula CDB lmisa ee lecransulis
  33. E.PF: manifecta es demonstracio, ex discursu in priori demonstratione adhibito.
  34. ae ee eeo eesra ese oooease

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 544. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0601?run=74