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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1119

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: 0.86.

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

The machine reads it as

  1. ete
  2. let
  3. di
  4. D.
  5. OVADRATVRA CFRCVLI
  6. Schema
  7. ommune.
  8. 10.
  9. eROPOSITIO XXXVII
  10. rEper recta AB corntantur quadraca ABC, B AD, quorum dia-
  11. PsonalesLC,OD aCMpCi Parabolis AE C, AFC, Q BGD,
  12. BHID quarum verrices sine A ex B, in linca AB altumantur qua cumque
  13. IE, NIE, ponancurq per l, L, N, IE puncta Parallela laceri AD OcCurren-
  14. tes diagonalibus in punctis P, O. T, V, parabolis aurem in punctis F, R,
  15. E, O, S,C, X, HI, compleantur deinde rectagula FIL, R NH; IL. S, NIC;
  16. iceMP IL, ONIE; ILT, NK V, denique EIL, IL. Z; ONK, NRFI.
  17. Dico parallelexipedum luper FIL. Se IL S, ad parallelepipedum Cuper
  18. RNK, NIE C duplicaram habere rarionem eius quam parallelepipedum
  19. (WveF PLL, IL T, haber ad parallelepipedum (uper ONK, NKV.
  20. Demonstratio.
  21. Vm enim aparalle lexipeda super FTL, TF. S, Super PIL, TF. F, supet aTY, a Per
  22. in5.
  23. TEx sinc proporcionalia; icem cum proporcionalia sine parallelexipeda loper ut
  24. RNK, NK G, TUPCF O NK, NTRV, TUPCE ONTK, NRZ, _ cum liae dux series vI-
  25. cimahabeant aequalia, scilicer parallelepipedum luper coTI, IL. a, _ (UPEF BNYK,
  26. NKZ, pacec bprimum parallelexipedum rnius seriei ad primum alcerius seriei esse B Por 9.
  27. in duplicaca racione sccundi ad secundum. Ouod erar demonstrandum.
  28. PROPOSITIO XZXVIII
  29. Ildem politis:
  30. LDicoparallelepipedum Tuper PIL, IL T, ad parallelepipedum (uper
  31. ONK, NKV, duplicatam habere rationem eius quam parallelipipedum
  32. super EIL, IL. X habet ad paralle lepipedum (uper O NK, N I HI.
  33. Demonstratio.
  34. vuins.
  35. R Vrtus enim paralle lepipeda super PIL, IL Y, SUPEFP IF, IFZ, Super CTL, cPer 30.
  36. TE x sunc proporrionalia, icem proporrionalia sunc paralle lexipeda luper O NK, hurus.
  37. NRV, CUPCE ONTK, PTRFI, SUPCF ON R; NVRE, a vicima veriulque scrici LuINE X-
  38. qualia, isicur dicerum primum paralle lepipedum prime seriei est ad primum secundE huius.
  39. seriei, re secundum ad secundum. Duod erar demonstrandum.
  40. CCC 2
  41. Sche-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 1119. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:1176?run=74