Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 520

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: 0.83.

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

The machine reads it as

  1. 111II
  2. D A R A BO L A.
  3. PR OPOSITTSIO COOLZI.
  4. 213. SB. 9L 32C
  5. AEx parabole tecR ABC, aequalem exhibere inclinaram, cuius
  6. ordinacim ad diamecu pca aacum angulum consticuant.
  7. prospositas ad ans voliquos: porronullas dari parabolas ex natura sua inclinatas, ex se.
  8. quenti propositione constabit.
  9. 217109 acoL
  10. tat etaBENB IKE Alo∞5OZ et lC Ou
  11. Constructio E5 demonstratio.
  12. B 19.4s) hcel. ber Monoierlac
  13. IE ABC paraboIX axis B F, et
  14. Dordinacim ad illum polIE2 AC:
  15. Policajuc per B contingence, du-
  16. cacur adulam linca F. D, qua an
  17. sulum F D B aequalem FaciaE daco
  18. E: e deleribatur parabola ADF,
  19. haberis F D diamderum, dicoillam
  20. Cacistacere pericioni. cum enim v.
  21. eraque pdrabola; Comnunem ha-
  22. e
  23. sico
  24. Constructio e demonstratio. sil
  25. lE ABC parabolae inclinaca
  26. diamecer BD, ex act illam gr.
  27. dinatim polita AC: dUCAEUE AU-
  28. cem ex C linea OFT normalis ad
  29. BD. diuisaque CBT bitariam il
  30. ponacur per L rectaTF aequidi.
  31. Ranis BD: dico IF axem cAC p d
  32. rabola inclinaca. cum enim FF
  33. aequiditer BD diametro, recta
  34. Parabolam inclinaiam v0c0, omnem parabolam qua lineas habet ordinarim addiame-
  35. quodducem AD F Parabola Scinclinaca, ex coparer quod AC linca d illi x qui-
  36. diances. ael F. ad angulos leceie obliquos.
  37. Aeae parabola inclina axem exhibere.
  38. lam AC, e candem alcicudinem, constac illas inter le esse aequales
  39. PROPOSITIO CCCLXII.
  40. bCAE B
  41. ar. Defin. FF quoque sectionis diamerer est; quia rero lineam HC, bitariam et ad rectosle.
  42. huits.
  43. bolae inclinaex aXem.
  44. Hinc patet nullas prorsus inclinatas dari parabolas quae diuersa sint naturae a rectis: veriqe
  45. enim essentialis illa ex primaria passio communis, quod ordinarim act an applcata. Cnttactt
  46. cacangulos, ConHaE PE a axem eAse parabola ABC. exhibuimusixicur, daLX PATa.
  47. adangulos secent rectos. id quod etiam intculsi velim de hyperbola e ellipsi: similiter enim
  48. in omnisectione comt, siue hyperoota, sac eps setu, oscenditur; ordinarim adaxes appli
  49. catas eosdem ad aneuos ectos aider. Dnae nunds omnino dari conisectiones natura sua
  50. inelinatus sine quae diversam a rectio habeane nacuramt consiali
  51. esee i s e ut tu e a i ut

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 520. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0577?run=74