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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1052

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: 0.87.

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

The machine reads it as

  1. amrtur
  2. BCollixiru
  3. e2 40Ba
  4. d 12 9. hu-.
  5. s
  6. tunc demonuctandum.
  7. SP H A R O1D CS
  8. Demonstratio.
  9. PhaeroideS ADC seCAPeF BF, axemin
  10. norem plano ad axem AC recto, lectio
  11. B FC circulus a eric. inscribatur super circulo
  12. C=B, lempata DBFC. ducto aurem Pee
  13. axem AC plano, exhibeacur lectiones AHIB.
  14. DK B, _ inscribacur cuique sectioni lua para.
  15. Bola ABF, DBF. Oltensum b est ABF
  16. ductum in sc 2d D BF ductum in sc cam ha-
  17. bere racionem quam parabola in(cripta A BF
  18. ad inscripeam DBF. sed parabola ABF ad
  19. DBF Parabolam, (quoniam axes B R COM-
  20. muneslunc) estc VE AE ad D Bi igicur eciam
  21. ABF. ellipricum ductum in (c ad D BF, cir-
  22. culare ductum in (c Cst vE AF ad DF, sed vE
  23. ABP ellipricum ductum in sc ad DBF, cir
  24. culare ductum in se, ita eA AB B, ellipricum
  25. ductum in orbem ad DBF circulare ductum
  26. in orbem; cum dquadraca IIIad K Iquadra-
  27. ca cam racionem contincane quam circulira-
  28. diis FTI descripci ad circulos radiis RI de-
  29. Scripeos.igItUE ve AP ad DF, ita CE sphxrOides AB F ad spHxram DB F. Quod
  30. quae tieper cenerum incer se luncequales.
  31. Demonstratio.
  32. Ine auo maximi coni ABOC, DECB in-
  33. Ccripci splixroidi, insistences sectionibus BC C,
  34. E CF per cenerum Factis. Dico illos inter le 2-
  35. quales ese. criangulum peraxem coni FD F est
  36. aequale criangulo per axem coni ABC; Per en
  37. que libro de clliphdemonstrata clunc. isicur F est
  38. HC ad HIF, ve reciproce DI ad AHI. sed ve
  39. HIC ad HIF, Sc g elliprica basis BCC ad balim
  40. ellipricam B GF. ergODE BGC 2d R G F, ic
  41. reciproce
  42. a
  43. I ad AEI. erBOHCOnIEDF, BAC
  44. PROPOSITIO CXXXII
  45. nes coni maximi pa cetur eci insictenres alicui sectioni
  46. PROPOSITIO CXXKIII.
  47. IE conus ABCD MCCOIaI MMICripruS
  48. _e per F centrum d verricem coniA du-
  49. ctum planum exhibeaceriangulum ABD,
  50. cui inscripea sic parabola A F B verricem
  51. habens A, alrera vero inscripea sic ellips
  52. AHIB F. caiusvertex B.
  53. Dico

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1052. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1109?run=74