Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1121

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. 111IIIII
  2. EY A D R A FVR A
  3. Corollarium.
  4. Tinc parec rationem parallelexipedi super FFL, TL. Sad parallelepipedum su-
  5. DEERNK, NK C, cocies per maciplicationem continere racionem parallelexi-
  6. DCMaPeF PTL, IL T, ad paralletePipedum sUPeF ONK, NR V, quories hxcracio
  7. per mulciplicationem conrineclallonem parallelepipedi luper P. II, II. X, ad paral.
  8. lelexipedum luper ONK. NKHI.
  9. PROPOSITIO XXZIR.
  10. IVper recta AB construantur quadrata AB C, B A D quorum diaoo
  11. DHales SInEAC, BD: descriptisque parabOlis AF C, AFC, _BGD,
  12. BHB quarum verrices sInE LL _ B, altumatur quaenis IR, in recta AB;
  13. qua diuila in quaruor parres a quales in puctis L, MI, N, POnatur Per Ca Pa-
  14. rallela laceri AD, CCagonalibus in punctis P P, OO, _ TT.
  15. VV; Pasabolis aurem in punctis F F, R R, EE, OO, SS, 6G, XZ, TIII:
  16. compleaneut deinde rectat ala FIL, F LMI; R MN, RNK, e IL. 5.
  17. LMS, IMNG, NK C; himilicer recranouta L IP, NIL. P, NM O, KNO:
  18. item recrangula lL. L, L. M P; MNV, NK V; quemadmodum _ RCCta-
  19. SULALIE, ML E; NMO, RNO; _IL X, LMZ, M NII, NRFI.
  20. Dicorationem duorum parallelexipedorum quae hunc ex recrangulo
  21. FILinILS, d ex reccangulo FI.MI in L. MI S, ad duo parallelepipeda
  22. quae Oriuneur ex planO R MIN in MNG, _ ex planO RNK in NRO
  23. planum, tocies conrinere rarionem parallelepipedorum quae signuneur
  24. ex ductu superficiei P II. in IL. T, _ lOPeFRCICI PL MTIn LMT, ad paral.
  25. lelepipeda producta ex baliOMI N in MNV, _ ex baLIONK in NKV,
  26. quocieshac iplarario concinet rarionem parallelepipedorum quae hunt
  27. ex duccu plani F. IL in planum IL. Z, ee ex duccu plani P. L. MI in LMI X,
  28. ad parallelexipeda Facca ex duccu plani OMN in MI N EI, ex plani ONR
  29. In NRHI.
  30. Demonstratio.
  31. D contutionem vicandam omnia hxec rectan gula quae in vnam Rguram consesta
  32. LLlunc, in rarias figuras sezregabimus, ec lingulis rectangulis Cuam licreram htel
  33. bemus quasplorum nocicia habeatur, ve discurlus racio nonnihil subleuerur. Lcsu
  34. igicur schema parciculare comprecatu las ileemale uea Comuas
  35. qua terminantit in parabolis convexts La. Seclau veloconaleas
  36. quarum cermini in figura rnivertali sune recte PO X V T. Terrium denique Aigu-
  37. rasreplasenter concanas parabiolas FR, CS, figurarniverlalis. Anc aurem petun
  38. Cchemari inlcripea eccatgula A. B, C. D: Xl. 1. Cl. lecundo similicer rectangula
  39. dumigicur elelationem parallelepipcco e LC MC SI L, au pacancnpipeda
  40. redorum quae tiunc exrectangulo L L, d lem uupulantete ipeen L inP, e
  41. BK L, M _ NO, P, O, certio quoque rectangula R, S, T, V, X, Y, Z. e osenden-
  42. ex T in Z, _ V in X, tories continere per mulciplicationem rarionem parallelepi-
  43. M in O, quorieslixc ipla rario concinecracionem paralleleppeaoea ilele
  44. Blb, ad parallelepipeda ex plano C in C, e D in FI. quodnCole. ale pa
  45. rallerepipedorum ex k in L, _SiM L, da Patatereea ca L c a eAt
  46. eddem cum rarione parallelepipedi ex R in L adparallelepipea Ca u L delk
  47. ad para L L I O. eadem est cum rarione paralle lepipedi huius.
  48. Kn aet rIn C, Me Cuas Factore Palstelepipedi ex S in Y ad parallelepipeda
  49. ex T in Z, _ ex V in 8. Similicer rario parallelepipedorum ex Tin N, ec Cx R in O.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1121. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1178?run=74