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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1116

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: 0.86.

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

The machine reads it as

  1. 2uC
  2. QYADR A FYR A CTRCVEF
  3. Demonstratio.
  4. huic
  5. uius e5
  6. inter Ce vibales quare cum bales pelamu ene proporcionales, crians patalle
  7. lepipeca proporcionalia lune, quorum ille bales lunc. Pari quoque modo ostendieur
  8. PROPOSITIO XXX I.
  9. Scensum acam lineaS PO, P R, P F quam Z K, Z a, X O proportionales el
  10. (C, hoc est P d3P P; PM. indeb rectangula quoque proporcionalia lunc O P d
  11. RP ∞, L PMI, sunc aurem parallelepipeda communem habencia alcicudinem P X
  12. Parallelepipeda habencia bales, rectangula R P P; F P ∞s I. PM ec conimunem alcis
  13. Ex29. Fudinem PX, proporcionalia esse, cum eriam bales illorum proporcionales sIMEs
  14. roeres.quare conctarvericas proposicionis.
  15. Vper AB constructis quadratis ABC, AB D, descripeis preterea pa-
  16. rabolis AF C, B FIL quarum verriceS LInE A _ B, AXES VeTO AB, B A;
  17. item parabolis A F C, B OI, quarum verrices etiam (InE A eE B, AZCS VerO
  18. AK, BD; Policis in TUPCFF G, F FI que aequidistent CD, de sectionibusoc-
  19. currant in E, L, C, M _ N, F, O, HI, diagonalibus quoque AC, BL, in pun-
  20. Ctis P, Q, R2, 5.
  21. Dico rectangulum L. ZG ad F x O, rectangulum duplicatam habere
  22. rationem eius, quam habet rectangulum PZ Q ad RNS rectangulum.
  23. Demonstratio.
  24. Le tuiu)Scensum est supIa Lam rectangula L. Z. G, P Z O, F Z. Z GVIaII FCCLAHSIIA L AO.
  25. R x S, V a Y eandem continuare racionem. Ouarc cum extrema rectangula
  26. gmmns. L L, VX sunexqualia, cric crario rectanguli L. Z G4, ad FCCFAHBATAM L NOdu
  27. plicara racioris quam haber rectangulum PZ. ad rectangulum R a S. Ouoderat
  28. demonstrandum.
  29. tROPOSITIO XXAII
  30. Ella Cllalheltoo.
  31. Dieo recrangulum PZ Q ad R aS, duplicaram habere rectatglu
  32. E. Z. M ad Na H recransulum.
  33. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1116. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1173?run=74