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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 154

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: 0.87.

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

The machine reads it as

  1. 1am
  2. PRO GR F SSIO NFS
  3. P R O POSITIO, CLXI
  4. IIdem policis loco rectangulerum incelligacur super normalibus AI,
  5. Dico seriem quadratorum CR, ad seriem F. H, duplicaram haberera-
  6. tionem eius, quateadeeries quadratorum AI, BL, CM, dc. ad (c.
  7. riem quadracorum B L, CM, DN, _C.
  8. Demonsoratio.
  9. ErieS FK est ad seriem a FR vE
  10. quadracum BF. ad quadracum
  11. CF, hoc est in duplicaca racionis
  12. AB ad B C. Smiliter racio heri qua-
  13. dracorum AI, BL, XC. ad seriem
  14. quadracorum BL, CM, Xc. cadem
  15. eAt quae quadraci AI ad quadratum
  16. BL, hoc est duplicaca racionis AF
  17. 2d BL: hoc est ex hypochesracio
  18. seriei quadracorum AI, _C. ad sc.
  19. riem quadracorum BL, _cc. eadem
  20. cAt quae AB ad BC. quare cum
  21. ostensum sicracionem seriei R R, 2d
  22. Serrem FR, esc duplicatam rario-
  23. AIS AB ad BB, erir quoque duplicaca rarionis, quam haber seriesrectansulorum
  24. TK, ad seriem rectangulorum L R: Ouod cracdemonstrandum.
  25. PROPOSITIO CLXII.
  26. IIdem polIIS qua supras incer BA, AI, CB, BL, DC, CM, ac. in
  27. Lueniantur medix proportionales AO, BP, C O, _C.
  28. Dico quadrata AO, BP, C ∞, _ec. cubis AI, BL, CM, aC. CAC prO.
  29. portionalia.
  30. Demonstratio.
  31. non suri Voniam B A, A O; AB Cunc concinux proporcionaleS, etic quadrarum AO, re.
  32. ctangulo B AIB eguate: Similicer reliqua quadrata B P, C . dec. Tetgs l.
  33. etangulis CB L, DCM. eC. crunc aequalia quare cum rectangula cdicta lunc conci-
  34. nuc proporcionalia in racione criplicara A L ad B L, quadrara quoque AO, BP,
  35. _c. erunc in dictorum lacerum AI, BL, _c. criplicata rarione COnEInUE PFOBOF
  36. d33. dnac- tionalia. Aequi etiam cubi A I, B L, _c. sunr in lacerum A I, BF, XEC. d eripliCATA
  37. racionc; erpo quadraca AO, BP, XC. cubis AP, B L, e c. sunc proporcionalia. Ouod
  38. erat demonictrandum.
  39. Ibidu
  40. 2
  41. ni.
  42. ABL, aC. Construi Peries quadracorum.
  43. ue i uli is e ur st e pus ue e pue ut e este u e t pta e e u e et t . te e u a a

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 154. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0211?run=74