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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 74

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: 0.78.

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

The machine reads it as

  1. e . s. nipeni.
  2. PR O GR E SSIO N L S
  3. (Sinempe ip(S A, FI, M incetIamuS quartam B, X ipsiS A, F, N quarFaM Y, d iptis
  4. 4
  5. de omnes quatuor A, F M, Q; A,BPI,R; _C. eAC concinuaS. Quod erac demon.
  6. Arandum.
  7. A, K, Oquartam d. _ iplis A, L, l gcartam es denique ipls A, E, F quartam E) de-
  8. monstrabimus esse ve pis sspliS O, R. SiI, C+ equales: AC PFOI-
  9. tKO. D5I L 1 I L2.
  10. eet d
  11. iES
  12. B l a C ID. FFOTII
  13. umHtma Ni AO P, D. R5
  14. Eneurbina Peries conrinue proporcionalium in diversis racionibus,
  15. B, C, D, ec. IL, L, M, N, _C. ita camen ve A IE, L. B sine criam
  16. concinux popooales.
  17. 1
  18. Dicoomnes A, IE, L, B, N, O: C, Q, R, D, d Sic deinceps, (omisso
  19. in serie IEL. cerrio quoque tertmino M, P, S) esse in concinur analogia.
  20. Demonstratio.
  21. i
  22. VIa A, R, P, B PONIINEHFCONTIHUE, CFBOVE R ad L, sC L. ad B: sed eriam est
  23. Lextrpochesi ve K ad L, siC L ad M, ergO F. ad B, de M candem habCE La
  24. 7. Einsac. rionem; xquales aigitur sune B e M. ideoquerationes B ad C, M ad C aequales
  25. TUnE. OVOnIAM AUEEM A, K, Z, B sunic quaruor continue proporcionales, cric rario A
  26. ad B, id est exhypochesiracio B ad C, id est ex demonstracione rario Mad C; cripii-
  27. cata racionis A ad K: Sed rario A ad K, exhypothes et rario R ad L, id est racio
  28. M ad NI: ergo ratio M ad C, criplicata est racionis M ad NV: est auremrario M ad
  29. P. criplicaca rarionis MI ad N, (sunc enim M, NV, O, P concinux) igitur ve Mad C
  30. SICMI ad P: vnde de aequales sunc C et P. quare cum loco M, in serie Ratuatur illi
  31. aequalis B, e loco P, illi x qualis C. crune A, K, I, B, PY, O, C concinue proporcio-
  32. nales. Similicer ostendemus seriem hanc per rerminos 9. RR, D, erc. concinuari in in-
  33. finicum. Ouod crac demonstrandum.
  34. Corollarium.
  35. Tnesequitur: racionem A ad B, criplicatam eRlerarionis, R ad P: _ B ad C, eri-
  36. plicaram ipsius L ad M: irem C ad D, criplicatam ipsius M. 2d N. e Sic de cc-
  37. ceris. nam racio A ad B concinuatur, est que illa criplicara rarionis R ad L, que DeF
  38. TElIGUOSFERINOS CONFIHUAEUT.
  39. elOOoeeiOana
  40. Veriangulo quovis ABN GMRTOFPONANEUEPATAIICIA AB, C. D, L1
  41. LO FI, in concinua analoslaracinter AB, C FI, media sic. LK; inFCF P F
  42. plicaram elle FatIOMIS L. M al
  43. +II
  44. Dcolactonem AB ad IR et
  45. Demonsitata.
  46. AB ad C+FI, duplicaca est ex
  47. pochesi, racionis AB adTK: &
  48. racio F. P ad CrTI, duplicaca racionis
  49. T Mt a C LL. CrSocumiterum, ex hy-
  50. oche. catio AB ad erF criplicata lcLallous LL dc Ct crultatio AB 2d LL
  51. DuIX
  52. .. l 5
  53. vero ae Citl, meclalit L LML.
  54. 5. Ouins
  55. i e u n 1 . e t t t eu ue ue pu e n ue u u m

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 74. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0131?run=74