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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 261

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. ELLIPSISE
  2. PROPOSITTO XZXIII
  3. Sco ABC. clip (CoSaxIs A C, Super quo ve diameero Pem lCirculus ac
  4. cribatur AD C, alsumproq; in axe puncto F quod non sIECenEruM,
  5. erigatur ex F. orchosona FD occurrens ellipsiinB.
  6. Dico conringences per B et D actas, axi AC in vno eodemque puncto
  7. OcCurrerE.
  8. Demonstratio.
  9. Ciaturper B concingens BF, conveniens cum axe
  10. CLin F, iungancurque P. D. quoniam FB ordinarim
  11. Polica ecadaxem de BF. sectionem concingie, CrIC = C F
  12. ad F A, ve CF. ad B A: unde e iuncta F D circulum
  13. contingie isitur contingences per B _ D actx, con-
  14. veniune cum axc inruo eodemque puncto. Quodtuir
  15. demonstrandum.
  16. Corellarium.
  17. Inc facile eriam demoncrahimus E dux rangeures
  18. in eodem puncto diamerro occurrane normalem
  19. O. quae liperrnum conractum D cranscac, cransire
  20. etiam per alcerum.
  21. PROPOSTTIO XXXIV.
  22. Sto ABC ellip liIS diamerer BD, ad quam ordinatim pOnAtuF AC
  23. LsaGAnEUTG Per A _ C contingences.
  24. Dico illas diametro in rno codemq puInCEO OCCUrreTE.
  25. Demonstratio.
  26. DEriS huius pacet singulaS ConringenteS pet A d C ductas
  27. cum diameero convenire: A isitur non convemane in co-
  28. dem punctos occurrat A F concinsens diameero in F, _ C IY
  29. in H: Ouoniam cansens AF concurrir cum diamerro in F,
  30. CrIECVEDF ad EB, lic D F2d F B. cursum quoniam cangens
  31. CHI concurrie cum diameero in HI, cric veD F. ad FB; hOC
  32. estDE DF ad EB; sic D FI ad HI Bs ex dividendore DB ad
  33. BF, Sc DB ad B II, quod fierinon pocest. quare cangences
  34. non occurrune diamecro in diuersis punctis. ergo in codemi
  35. Quoderar demonstrandum.
  36. eAOIOSILIO RZEV
  37. 102
  38. a30. huius.
  39. b de circulo
  40. vel perc
  41. a. 10 tut
  42. suins
  43. denua in cctortemtcos alea.
  44. eorunetam AC, ordinacim elle policam ad diamerrum BD.
  45. Sco ABC elliplis, diantelet proucla iue L dCk
  46. 1E H Z
  47. Demon

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 261. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0318?run=74