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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 126

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.

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The machine reads it as

  1. C
  2. C
  3. R
  4. ESSTO NES
  5. Demonstratio.
  6. Tcenim primxe MaSicudini AB, aequalis qua cumque alia H L _ H A B ad BC.
  7. ica sC MI N ddaliam NO. Jua cum M N, unam maonicudinem concinuam a ho-
  8. mogencam compone: concinuecurque racio M IY ad NVO, in infinicum per plu-
  9. res temper cerminos OP, P 9, dec. qui perperuo cum praecedentibus rerminis vnam
  10. maonicudinem componane. Ouoniam ipieur aequales suInE AB, NTNT, erit AB ad
  11. NO, VE MN ad NO; sCd MN eAt ad NO, ve AB ad BC; ergo AB eA d
  12. ve AB ad BC: aquales ergo lunt BC, N O; ergo BC est ad OP, ve NO ad OP:
  13. sed NYO est ad OP, ve MN ad NO, id est ve AB ad BC, id est ve BC ad CDS
  14. eroo BC cA ad NTO, Ve BC eA ad CD. aequales ergo lunt CD, OP. Cimilicee
  15. oltendam lingulos veriusque prooresonisterminos incer se aequari in infinicu. Dua-
  16. re _Ccries tora AB, ecc. aequalises eori leriei MNV, ec. repore constans xqualibus
  17. sivc iidem cerminis: aequi qua cumque coro se cundo libro demonstrata lunc de pro-
  18. pressionum propriecacibus, conveniune progressioni MN, NO, _c ergocriam con-
  19. veniuneprogrestioni AB, BC, ec. Ouod crac demonstrandum. Verum re res cla.
  20. rius pareas, idiplum per aliquor consectaria seu corollaria explicabimus.
  21. Corollarium primum.
  22. Xhis igitur (ii (dem poliris) intero primo: progressionem vnivertam maonicudi-
  23. Lnum AB, B C, ec. producere eandem decerminatam magnicudinem seu quanci-
  24. carem quam scries NEI, NO.
  25. Demonstratio.
  26. Eries enim A B, BC, etc. xqualis est seriei ALNY, N O, RC. erBO CAIIICI PTBdVCH
  27. quanticarem: aequi series M N consticuie. finicam de decerminaram guanticarem
  28. (exempli caua M RR) ergo ex series AB producir quancitarem finitam MR.
  29. Corollarium secundum.
  30. IIdem Polts MetoeCuao, leries AR (id est omnes ancecedentes) est ad seriem
  31. BK (id estomnes consequences) re AB ancecedens ad B C rnam consequencem.
  32. Ec series BR eA ad leriem CR VE AB ad BC.
  33. EFEreSSerICS AR, BK. CR, lunc in concinus analogia. de similiter alia interemus
  34. ux prop. octuagesim à se cunda habeneur.
  35. Demonstratio.
  36. (E NTR aequale tori seriei AINI, BY O, e C. Crit erdO de coTa leries, AB, BC, eC et
  37. iam VE OstCMMCa aGa ML. CuMICT a ALB aqualIS SIE MN, crie
  38. quogees BC. CB alaGaiBHR. ColeneS KCnaeeBR
  39. 3o2. huus. it le adt le. Agu ee DMI al HO. eBBleS AR eU Lale.
  40. riem
  41. pt . e e . 1 p e e e t 1 1 e e e 1 l t . 1 nt i ap

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 126. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0183?run=74