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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 108

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: 0.76.

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

The machine reads it as

  1. 12
  2. DROGRESSTONES
  3. 5.1111
  4. Demonstratio.
  5. d
  6. dS IT
  7. Friesrarionis AB ad BC cerminetur in C; seriei aucem rarionis AB
  8. 100
  9. iadC D aequalis (ILHIR; icem serici rarionis B C ad F P, aequalis (ICL N.
  10. Dico seriem AC7, duabus FTK, L N maiorem esse.
  11. e
  12. BE
  13. rodhuins. GErres BC; L F, _C. 2minor el lerie BC, DL, dC. ergolerieS B C) P F, deC. cum
  14. lerie AB, C D. dC. minorerie, quam sertes BC, DF, Xc. vna cum seric AB,
  15. CD, SC. acqui per praecedencem leries B C M. cum lerie AB, C D, _c. Con-
  16. FF, _c. cum leric AB, C D, dec. minorem contticur, quamm ACr: C18ILR, LH
  17. series aegnales sericbus AB, C D, _C. B C, P P, ex c. minores lunc, quam series, AO
  18. Duoderae demonttrandum.
  19. Ricne leriem AB, BC, CD, D F, ec. hoc esmagnieudinem A Cr. ergo leries BC
  20. P R
  21. C+ L X
  22. 1 C
  23. 113 bS, (X (151
  24. (4d
  25. Eries continue proporcionalium AB, B C, C D, dc.
  26. Lcorminetur in L. Vecur aurem proporrio a ad B,
  27. mulciplicata rationis AB ad BC, iuxta darum aliquem
  28. numerum (quacuor exempli caul2) de quor lune rnicares in daco nume.
  29. co coernaminustac magnicudines L.M, OP, RS, aequales dacx scrici
  30. terminis AB BC, GyId.
  31. Dico Ceries, rarionis a ad B, quarum primi termini (InEL, O, R, Cimul
  32. Cumpeas, consticuere eandem magnicudinem, quam series rationis AB
  33. ad BC. 111 11.
  34. et 12 5
  35. Demonstratio.
  36. 2 1
  37. TaErea 2dB, sic F NI ad NNY, _ OF ad P O, _ R S ad S YJ CrUCCESO OmneS
  38. haerariones quadruplicaex encicinis AB ad B C: _ quoniam L MI, A B, Xquales
  39. sune, candem habebunerationem 2d MI NI; ergo e racio AB ad MINT quadruplica-
  40. caestrationis AB ad BC; est aurem _ rario AB ad DF, quadruplicaca racionis
  41. AB ad BC. ergO VE A B ad D F, iT2 A B ad NTN. RQUAnEUE igIEUE DF _E MNS
  42. CeriesigieurratIOnIS L MI ad MNV, eA Ceries rationis AB ad D F. Similicer osten-
  43. Jam seriem racionis OP. ad PO, esse seriemrationis B C ad I FS ex Ceriemrarionis
  44. RS ad ST, seriem ese rarionis C D ad F C. acquilx cres b series smul sumpex,
  45. adaquane seriem rarionis AB ad BC; ergo criam e illae candem ad aequabunt.
  46. Duod erar demonttrandum.
  47. CELBILM
  48. riis
  49. 2
  50. 3 hui
  51. A ue euu e e s te ete s s p se t ue pet qe ue e eus u ses ur ue se e et s. e e te 1 t . s 1. 1)e
  52. (11 spTIII
  53. C
  54. CI.
  55. R

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 108. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0165?run=74