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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 346

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. 40
  2. P R OPOSITIO OXCILI
  3. EL L. IDStS
  4. Dicotucus AC ABF in C d II, limilicer diultas ehe.
  5. Demonstratio.
  6. NIE CemiellipAS AB C CUTAS ALIS IIL RC, LCLIILHICOTOS AUILCMI DEE.
  7. Temiellipsi A B C aqualis po; MMICrBANEE cn lemiellipsi
  8. de Pemicireulo criangula ABC, DLF intet IC a GUaIIA. IL CAD _ F, nOr.
  9. males ad balim demicraneur BG, F FI.
  10. ipsum P. A: led requadrarum L. I ad quadrarum BG, ita est rectangulum AIC
  11. ad rectangulum AC C: ex re quadtacum MK a F FI, quadracum, ita CA DRP
  12. rectangulum ad rectangulum DHF, ergo ve AI quadracum ad rectangulum
  13. AC C, ica est quadrarum D R ad rectangulum D HF: e permurando ve qua-
  14. deacum AY ad ipsum DK quadratum, sive ve quadracum AC ad DF ira cRFC-
  15. atangulum ACC ad rectangulum DFTF, constacipirur ex Sereni l. L. prOP. 12. li-
  16. neaS AC, D F in C e H, proporcionalicer esse divilas. Ovod erac demonlteandum.
  17. PROPOSITIO CZCIV.
  18. FCenE A BC elliplim diametri guxuis coniugate AC, BD iunctis
  19. punctis AB, C B, diuidantur AB, C B linca bitariam in F e C: du
  20. CANTUTGS ex P. CenerOlinCK P F, P. G: dein tam pet
  21. puncta AEB, quam C F B ellipses describantur
  22. quarui coniugaca sinc diametri A B, E. F, C B, F. 61
  23. Dico ABC elliplim aqualem esse duabus cel.
  24. ipsIbuS AEB, C EB.
  25. ik Cenris T eC K, ad diaMCerOS AC, D FnormaleS CriBANEOFTL, RM iungAn
  26. Lxurg; AC, F C, _ DM, MF: quoniam semiellipss ABC semicirculO DMF
  27. aqualis eA, crun de maxima criangula illis inscripea nem pe AI C, DM F incer (0
  28. 190. hu. xqualia 5 a erie ixicur ve criangulum AI. C, ad criangulum ABC id cA vi
  29. bea
  30. ed
  31. FI ad B C, ica criangulum DM F 2d criangulum DF F, id est ica linCA NTK ad
  32. F FI, adeoque re quadracum I. I ad BC quadtacum, ita eric quadratum MK ad
  33. cCorol. 191.
  34. isus.
  35. Etbns dbtbo
  36. Voniam eam ABFF, CR L.G, HC BF Blameert
  37. LIUNECONIUGREX, CrUNEB ABC, AF, B, C F. B ctiangu
  38. la maxima que suis semiellipsibus inscribi postune: est
  39. aurem AB C criangulum duplum crianouli CF B, igi
  40. rur ex cllipsis ABC c dupla est ellipsis C F. B. Similiret
  41. osendamelliplm ABC, auplatu ellC elliplIS B L. A. 2.
  42. GLanEUE
  43. qu et et eui uepues et e t et pt t t es te e Me t s tit at uet e e e e ti e st st te e e e u ete et tu e te e e a pe ste si stu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 346. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0403?run=74