Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1031

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: 0.88.

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

The machine reads it as

  1. V N GVL A P AR ABOLTCA.
  2. Demonstratio.
  3. DErBs. hurus LM D OTT. Parabola est,
  4. diameerum habens AV. deinde
  5. quia parallela plana IBFI, M F. C lc.
  6. Cac planum parabolicum IMDOFI, c.
  7. runc a sectiones IFI, MG paralIClX.
  8. Ouare cum TFI sic ordinacim posca 2d
  9. AD, CrIE X MC. ducacuriam recta
  10. F F, cric haecb ParaIlela AB. crgoBD
  11. ad F D, vE AD ad FD, scd AD est ad
  12. FiD, in duplicata cius quam habcc I A
  13. adMF. erzo ecratio BD ad FD, hoC
  14. est rario 4 ad 1. duplicata est racionis
  15. TA ad MF. ErgOLaTIO TA AdMIF, Ca-
  16. dem estcum rarione dupla, ae inver-
  17. tendo MF, est adTA, ve F 2d2. conci-
  18. AmccurracioF, ad 2, per (ex terminosni-
  19. mirum L. 2, 4, 8, 10, 32. Frit ergo racio L.
  20. ad 32, quincuplicaca racionis F, ad 2, b0c
  21. estracionis M Fad IA. Acqui raciovu-
  22. Sule NDO adrigulam IDFI, quin-
  23. cuplicata c est racionis MIF, adIA. EF.
  24. soongula MIDC cst ad rngula TD FI
  25. vc 1, ad32. Ouoderacdemonstrandum.
  26. PROPOSTTIO XCVI
  27. Ngula parabolici exlindrirectisit
  28. divita sectione DEB, Per axem
  29. parabolae AF C extribence in cylindri
  30. superticic rectam E B, iunetisque AF.
  31. C E HanEplanA PET A F B _C F. B, OC.
  32. currencia bali vngulari ABC. secun-
  33. dum lincas AB, B C; deinde per has
  34. rectaS AB, BC plana ponantur divi-
  35. dencia lineas NO, KI decerminatas in
  36. 92. huiusbitariam, Formacia in cylindri
  37. superticie lineas curuas AOB, BFC.
  38. Dico vngulam EOTaM AF BC ma-
  39. iorem esse prramide inclula AE BC,
  40. una cu lesmeto cylindrico C FBIHIC.
  41. magnicudinibus qua superticicbus
  42. comprehenduntur AGB, ANIB; e
  43. CFB, CLB.
  44. Demonstratio.
  45. 37
  46. D
  47. Scensum elt a leomencum Cnnauum
  48. OBa(COSCR F. et alcirudinis R lbitariam
  49. dinisum esse plano BF C. quod ducirux per punctum F in quo bilecarur recta KI. C.
  50. mulicer
  51. d Coroll. 2-
  52. D2 huins.
  53. o e t ptet s t e ae at ett Ae e . es ate se te te st e e pt oue ee t ts s s s 1e. 1e e 1 1 1 e 1. 1) 1 1 1 1

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1031. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1088?run=74