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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 578

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: 0.82.

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The machine reads it as

  1. AYPERBOL A.
  2. exondim. T7T CF a 2d TC, ita F. D de B L CtGBM +C ad OFI, hioc est CB ad BD,
  3. Aliter Corollarium hoc demonstratur.
  4. Ica C F ad DF.
  5. PROPOSITIO XCTI
  6. D cu
  7. buldam L ee L, per quae actx conringentes aequidistant rectis AK, HC,
  8. ddico roctangulum ADL dd HI Ci C. rectangulum, camdem rario.
  9. nem concinere, quam habet quadratum Bl ad B L quadracum.
  10. Demonstratio.
  11. TIne AB, BC alimpeoci hyperbolx D E F angulum rectum consti-
  12. ; de guauis dux DE, FO ponancur, quae obviene sectioni
  13. in D, C, E, F, alsumpris aurem in hyperbole perimerro punctis qui-
  14. 52
  15. 3
  16. calata alielcuo alstabco
  17. ponancur diameri B, BL
  18. (1. YD 5. 2391
  19. toru ABC rectus elli
  20. continsentesper I de I. dua
  21. dupla lunebrectarum BL B L
  22. illaruurque dimidia ijsdem a
  23. qualia: sed octensum est rectan-
  24. bulum ADK concingencis, ie
  25. Ecquadraci, dimidio cNe X.
  26. quale, vei sc rectanrulum
  27. AOFDSIfIO XCIII
  28. VInE AB, AC asympeoei hyperbOIX EHIP: astumpeo deinde puncto
  29. quodam incra illam D, Ponaneur DB, DC alymprocis equidistan.
  30. ces, occurrentes sectioniin ponctis F _ F; ex quibus duCanEUE E G, FC
  31. Parallelae iidem asymproris, act 2 denique D A qua occurrar sectioni in
  32. HI, per HI (inc L M, IK parallelx asympeocis.
  33. Dico lMt parallelogrammum ad L. R Paralle.
  34. logrammum, eam rationem continere quae est
  35. incerlincas DB, B F.
  36. Domonstratio.
  37. Lbead DC. hooen AC adABoIA CABD
  38. ad CF: igicut ve DB, ad DC, iea est DH ad DF,
  39. hoc CA F C ad G L igItIE A C ad AB, CA vEF C 10
  40. t aAC. ddF. De AB AdBC. IBicuI AOL
  41. enic in directum, a LM, LK parallelogramma ad com-
  42. nunem alsmectum IK. L. M comticuca lunc: unde li-
  43. hilia suneineccle, adebque in duplichcaratione DL La
  44. 5. quia vero D B, BI. BF CpropOrciBIAlES TUNE, VE D
  45. ad TR. sc eD B cs ad B P: icur paralleIBGFamMA PNI
  46. T K duplicacam hotene incer se rationem recte DB ad
  47. BLi CD BA BP. Qvod eta Heion Arun le
  48. PRO.
  49. HOC contingentis in L, dimidio quadeaei. Igicurrectangulum A D R ad HCC
  50. rectangulum est, re quadrarum B I ad BI. quadrarum. Duod fuic demonstrandum.
  51. 22. hui
  52. F1. Depro-
  53. Lo s .d C. + 5. X W2 F
  54. ressionibu

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 578. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0635?run=74