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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1084

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: 0.90.

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The machine reads it as

  1. CBAOIDES HSEERBOLTOYM.
  2. EKOTOSIIIO CEXXZIN.
  3. Mnestectiones cemens ls perbolici axi aquidistantes, (i inter se
  4. quoquexequidistene, cenera habene in linea qux à cenero hyperbo-
  5. lx per axem conoidis producte, normalis ad parallela hyperbolarum
  6. Plana ducieur.
  7. Demonstratio.
  8. Tcigitur planum ABC per axem conoi-
  9. deosinclusi cono D R F alymprorico, od
  10. quod aliud ponaene B CFT ad rectos ansU-
  11. Jos, quod aequidister axi conoideos. Dien
  12. sectionis B GFT cencrum eAe in P. I, quX a
  13. ceriero hrperbolae AB C ducirur normalis
  14. ad planum BCTI. planum enim BC.HI.
  15. productum lecer conum, e exhibeat hy-
  16. perbolati RGF; huius centrum erir in
  17. recta FI. Acqui hyperbola PCrTI, ijidem
  18. asempeocis claudirue quibus hyperbola
  19. R GL, VEPATCE CK 176. ex 177. huIUS. ergO&
  20. cenerum cum ca habee commune in recta
  21. E I. Similicer ostendam omnes hyperbolas
  22. ipsi BCFFT parallelas habere cenerum in re-
  23. eta PI. LiguEFerBO prOPOSiTUM.
  24. PROPOSITIO CLZZZV.
  25. Ececur conoides hyperbolicu ABC.
  26. lectione per axem _ altera BDF,
  27. qua recta (IEad planU pCFAXCI, CON-
  28. curracque cum laceribus crianguli per
  29. axem COnIA(YM PEOTICI CKETA CONUIM.
  30. Dico secrionem B DF. ese hyper-
  31. bolam que cum lectione coni FDC,
  32. non concurret, qua in eodem plano
  33. exictic.
  34. Demonstratio.
  35. CM CK 19. PI. _ CICHHIC. 3. TI. PALCE R FV
  36. LBA L, aCDE C rectis L. M, PL
  37. Voniam planum BDP. rectum est ad
  38. INUM PCF EXCM AB C, _ concurrit
  39. cum laceribus criansuli peF aXCMI CXEra CO-
  40. num, isicur sectio FDO coni HIMOL.
  41. hyperbola est, CUIUS CCHErUM SIPPONACUE
  42. punctum P. ex quo a (yMPEOTOS dUCATUEPO.
  43. Dohcaigitur diametro P D, aNumproque in
  44. ea puncto quonis R crissAnEuE R S. D, 7 que
  45. Eine normales ad planum crianguli ABC
  46. peraxem, ex secundum R S, DO lectiones
  47. hancbasi conoidis parallela, exhribebunc hae
  48. sectiones circulosOTV, AF C _ ZV X
  49. 1064

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1084. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1141?run=74