Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 443

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: 0.80.

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

The machine reads it as

  1. 2
  2. 10
  3. o
  4. ile
  5. V.
  6. A.
  7. F-
  8. NE
  9. 12-
  10. 1i.
  11. P A R A BOL A.
  12. Demonsirati.
  13. Voniam tam AD, aB G, KC, qLAM DE, BGFT, GF proportionles TuNE, N ~g2. H
  14. EEIAIM RG, GC. est auremratio F G 2d GB, COmpOSITA ex FacIOnC F G ad ∞K, bui
  15. K O, propoconales Sinc) _ exracione K C ad G B id est iccrum B C ad A D, igicuE
  16. FC 2d G B, criplicacam habet eius quam act ed aet CH A . ubd
  17. fuie demonctrandum.
  18. PROPOSITIO CLXZEVII
  19. Ntertecent icerum se se parabolx duae ABC, C B D in punctis B,
  20. Lhabentes communes diamerros FC, HILEL, D A quasin MI _ N, lc
  21. cerrecta C B.
  22. Dico TM ad M E eandem habere racionem quam habet D N ad N A.
  23. Demonstratio.
  24. T DHC rectangulum eAt 2d
  25. rectansgulum DL C, ACALC
  26. 2d AOC, rectanoulum. (ed ve
  27. DHC ad DFC, siC FTY 0 ad
  28. EB, _E VE AL C ad AG C, sic
  29. L K linea est ad C B lineam; ivieur
  30. ve IIL ad F B, SIC K L ad B C: &
  31. permurando converrendo ve FB
  32. ad B C, AC TTIadRL. est aucem
  33. ve FB ad BC, lic HM ad ML:
  34. igitur ve H L ad RL, SICHM ad
  35. ML: VnAELC LM C CAAd MIK, VE H M ad NI L. I eA DN ad N A. Duo d Euit e13 quimi
  36. demonstrandum.
  37. qPROPOSITIO CLLLAVIII
  38. Sto ABC parabola diameter A B qua in D secet ordinatim linea
  39. dDC: dein per D parabola describacur D B, habens ADCClcingen-
  40. cera de diametrum DC e commune cum alcera sectione latus rectum L.
  41. occurrar aurem DB Parabola, Parabole AB C in B, _ ordinatim ducaTuF
  42. linea BF.
  43. quam habec FB ad FB.
  44. AD prima, aequalis primX DE, racio K C ad C F, c duplicata estracionis B B07 hums
  45. ad CHI, id ell BC ad K C, cum enim D, D C d lincae xequales (INE, XGUANEUF C 26. L
  46. ression
  47. C47 haius.
  48. id est ex duplicacararione R C adt GB, hoc e BC dd AV, (cuim AD, BC, a g. huius.
  49. Dico AF lineam ad lineam FB, rationem habere duplicaram eius
  50. Denonso.
  51. lllaccigue leccloi Comue Cllid EB. BC Oec
  52. nauim policx, eruncram B, si B, AF linex, quam B, BC
  53. id est FD, e D G proporricinales. unde cum P. prima lic
  54. communis, racio s A F ad DC, id est ad FB, duplicara est
  55. rationis FB ad B C id est ad PD. Quod tuir demonstran-
  56. aum.
  57. DOnacur BC equidistans AD. Ouoniam igitur P latus
  58. KKL 2
  59. 111 1 St 1C
  60. ioni
  61. C
  62. nolla

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 443. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0500?run=74