Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 774

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. V. 5. P. L
  2. R OP OSTF10 CtV.
  3. habere compositam ex ratione quadrari BC ad quadracum FC, _ ex
  4. Demonstratio.
  5. IuisiS AC, FC quadrita-
  6. riam, actilque per divisio-
  7. num puncta parallelis RL,
  8. MN. demiceantur ex K e
  9. MI ad XL OrThOBONX R O
  10. M S: icem duCanEUE L. R, N L
  11. tildem orthogona: brevicaris
  12. aurom causa corpora ex duetu
  13. mucuo parabolarum orca vo-
  14. CCHEUT COrpOTA A, F. Duadra.
  15. cum X O est ad quadratu BC
  16. VE 2 O A ad C A, hOC Cst CK
  17. const. ve P F ad GF, hoc est
  18. ve quadracum M P ad quadra-
  19. cum FC. CrBORRO ad BC
  20. DE MF ad FC, _ permucan-
  21. do RO ad NTP, ve BC ad
  22. I. C. Eodem modo oltendam,
  23. OT hoceA OR cMc ad PN.
  24. hOC CA PZ VE AD, ad IIF,
  25. hoc cA exhyp. Ve BC 2dF6.
  26. Cum igitur racio rectanguli
  27. KOR ad rectongulum MP X
  28. componatur exlacerumeacio
  29. nibusR O ad MP, OR adPT.
  30. ad solidum quod sc extecas alo H L aucto in rectangulum PY rationem habee
  31. composicant Cx Lactone vaus au Daum hoc eit rectaneu KOR ad rectangulum
  32. MP T, ex racione alcicudinum 9O, P P. Cumisiror rectangula ROR, M P T sinc
  33. ad Cc invicem ve quadratum B C ad quadracum E G; _e alticudines OO, PP, VE
  34. BC ad quaaratum se, e AC ad l Cr. limilicer oltendam lingula reliqua Colida
  35. facta ex rectongulis religuis X O, in reliqua O R eandem habere rationem eom
  36. Polcam ad singula alia Colida Facta ex rocrangutis religuis NP, in recranoula reliqua
  37. PT. ergo lingula solida inscripea corpori A sune proporcionalia Cinvulis solidis in-
  38. B12. quonsi. lccipeis corport e b ma u a. leapa enr.
  39. nius ad unum rarionem osse compolicam ex racionibus quadraci BC ad quidearum
  40. CC, X AC ad F C. ergo omna le Mcripea corpori A sunc ad omnia inscripea
  41. c+5. hhas. Colida corpori L in dicta racione composica; cum igiture solida verique corporitol
  42. polline, ve deticiane d corporibus ipsis quancieare dasa minori, concludicur
  43. codem
  44. TnE ABC, RCD parabolae aequales de similes ad cundem axem lub
  45. Dalterne polcx, ponantur aurem de alix quauis. duxe parabole aequales
  46. ac limiles F. F G, F. CFI ad cundem akc Abalcerne polILX.
  47. Suouscum ex ductu parabbla AB C in parabolam AC D id
  48. corpus ortum ex aucca parabola L. F. C in F. C HI parabolam, rarionem
  49. A C alcirudinc ad alcicudinem FE. 6.
  50. cum FC: jam aucem Colidum quod tc ex ductu rectanguli KO in rectangulu OR
  51. erit hec duplicata rationis BC ad F C; hoc est eademgua quadeati B C ad quadra-
  52. AC, F C, quemadmodum colligituE CK HIV BOCHEH. HaBCO Llidum quodAC CxRO
  53. in OR, ad solidum ex MI P in P P racionem compositam exracionibus quadrati
  54. I. DePa
  55. ola-
  56. sa I6it re 1e EO E 333A253C2I

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 774. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0831?run=74