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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1085

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. GONOTDES HYBERBOLLOVM.
  2. essenormales. vnde rectangulis OR Z, A DC, Euantur quadrata R Y, f. Fect u-
  3. gulis inluper Z. R X, I. D M quadrata R S, D. C, _ quia FTM, FTL alympeoci lune
  4. sectionis AB C, etiam Z. O Z L. A M rectangula incer (e lunc a Xqualia; vnde exc eNuS 2 1S. bypetB.
  5. quadtari R V quO lUPETAE quadeAEUM R Y ae qualiS est excestui quo quadeatum D gesu
  6. excedie D F B quadracum: _ quia POalympeoros est sectionis FD G, CxCCNuS AUX;
  7. drati R S Super R V quadraco aequalis elt excestuic quo d. Aert quadratum DO 2̀ c179. Bu-
  8. quadraco D O, ac proinde quadracum R S excedic quadtacum R Y eodem excopi, ius.
  9. quo DO quadracum luperac quadeacum D F. limcisirue B P F. ad hyperbolam cu-
  10. ius d(ympcocos est P9. Duarecum duarum hy perbolaruin FV G, BY F alcera (IC
  11. in luperAcie coni, alcera in superticie conoidis; quae superticies nunquaM dCONCUF d 175. hu-
  12. ruNE, nec ip (a sectioneS CONCUETenE. Duod erat demonstranlum.
  13. PROPOSITIO OLXKEVI
  14. NEcecur conoicet c us planis parallelis que eltip (ES FOrMENEB NL,
  15. 1085
  16. IL
  17. viconaepes C CMHC.
  18. demonstratio.
  19. exhubens communes incerlectiones BF, DII.
  20. eric isicur ABC hyperbola. Ponatur aucem
  21. diameter MI, qua diuidac B F, D HI bitariam
  22. in R _ I, ex sectio Aac per MI P. Iquae recta sIE
  23. ad planum ABC exhibens communes incer.
  24. sectiones, K N, IO, qua pet 19. 1I. ex detin. 3. IX.
  25. erunt rectae ad lincas P B, FT D, ac proinde P. B.
  26. XN, IID, IO sunc axes elliplium; erie aurem
  27. per ea que demonstrara luncc L. N Ohyperbo-
  28. la cuinslacus cransuersum MI, commune cum
  29. hyperbola AB C. quare verectangulum MKI.
  30. adMII rectangulum, ica eA quadratum RN
  31. ad IO, ee quadracum KB, 2d quadratum ID.
  32. ac proinde guadracum RE NN ad quadracum IO,
  33. requadrarum RB ad quadrarum ID, vndeve
  34. EB ad KN, ica FID ad IO. Cune igieur sum
  35. les elliples BNE. DOH.
  36. Gatur ABC planum pet akem conoidis
  37. quod sic rectum ad sectiones BF F, DGII
  38. i
  39. ABPOSTTIO, CLXZXVII
  40. dlimiles erumc hyperbola.
  41. lsectiones parallelae conoideos hyperbolici hyperbolas produxerine,
  42. demon-
  43. a

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1085. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1142?run=74