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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1074

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: 0.89.

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

The machine reads it as

  1. DelLCoMAETaILCAE.
  2. CONOIDES AXDERBOLLCNM.
  3. TE AB C hyperbOlA qUAMLRCCHCAHE EquidiCtAnEeS D C, EP, pOna-
  4. curquererria AB, qua palallelis occurrac in punctis LL e C, neque
  5. Dico rectangulum F. CF ad DFIC
  6. eandem habere rarionem quam habee
  7. reccangulum ACB ad AHLB rectan.
  8. gulum.
  9. Demonstratio.
  10. CiX cenerohyperbola demissis diamerris re.
  11. Cctarum AB S F F, guX Occurrane peri-
  12. merro hiyperbole in punctis NY _c M, ponan-
  13. TuT COnTINGEHECS NO, MO. COnCUTrenE BX
  14. in puncto quodam O. nam xquidistanEeS (UNE
  15. ordinarim applicacis AB, FF; quae sibi oc.
  16. CUTPUBE; cricque per 27. cerrii conicorum
  17. rectangulum A GB ad F G: F, VE CA NO qua-
  18. dracum ad MO quadracum. Sed ecium per
  19. eandem propolicionem est rectangulum
  20. ATIB ad DFTC, vequadratum NO adMO
  21. quadratum. Igitur ve rectangulum E G F ad
  22. DFTC, ita est AG B ad AFTB. Duod Fuic
  23. demonstrandum.
  24. Ine in hyperbola bine pa-
  25. D rallele AB, CD, _FF, CHI
  26. Cibioccurrentes in lXK.
  27. Dicorectangulum C ID ad
  28. AKB, candem CONTInCrC FA-
  29. tionem quam recrangulum
  30. F IF ad CKHI rectangutum.
  31. Demonstratio.
  32. Vngancur puncta TK recta lined.
  33. quae conveniat cum perimerro in
  34. C QM. cric itaque per praecedenrem re rectangulum P RM ad recranguluM L INI.
  35. iea cam rectangulum GRII adF IF, quam ARBreccangulum ad C ID rectangu.
  36. lum. lsicue veseclangulum C lD 2d AFB sect angulum, ita eAt Ec casulum FIF
  37. a rectangolum.
  38. eROPOSITIO CLXVIII. LEMM A.
  39. LEMMA PROLODETIO CLXIZ.
  40. 1074
  41. a2d. hyperb.
  42. L F. VI.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1074. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1131?run=74