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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 107

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: 0.83.

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

The machine reads it as

  1. AUSTer
  2. abens
  3. dPF.
  4. P ad
  5. acionis
  6. CE qua
  7. ri
  8. Fiac en
  9. Balor et
  10. habet
  11. quo p
  12. liama
  13. dC
  14. nempe
  15. D, qu
  16. In Ita
  17. E sI
  18. 0C1
  19. alter.
  20. C, et
  21. C. al
  22. plicae
  23. suplio
  24. EEOMETRLC
  25. ercottates u ra.
  26. onc duplicaca LL alc B. late ane en Torics racionis duplicacae; ra-
  27. cionis A ad B. deinde quia B, C, D sunc continua proporcionales, cric ra-
  28. cio B ad D, acpbala cacoo B ad C. similicer octendemus, rationem D ad F,
  29. duplicacam cMe raciols B dd C. concinux proporcionales (une ipitur B, D, F.
  30. ad F ejul
  31. S,F ErC
  32. duplicaEA AnE,
  33. vndeleries BN, cAseries dupliaca Lactes a C, Id el CX dacis, A ad B. MMMCS a6+. Mns
  34. eestune A_ ec BN. quare lunc aincer sc, ve primi cermini AaV. Quoi
  35. exal deontrandum.
  36. PROPOE
  37. Montinuecur rario AB dd BC, HaBCIquC CCMMM S. AcMMdC HaC
  38. Dico IIK agnicudinem maiorem esse quam (IE L N.
  39. Demonstratio.
  40. ria HK est series AB, C D, A L N est series AB, D R, REC. SUMAnEE
  41. LCL HR, Parces HII, IP aGualeS ipIS AB, CD: CX L N vCTO pATECS LMI, MO
  42. aequales ipsis AB, D F. Ouoniam isitur serici TTF, IP terminus cst R, Cric LLK
  43. bad TK, Ve HI ad. IP: e quia serici LM, MO, _c. terminus cM N, CrIE L N c 2 8 b 8L. huivs.
  44. MH. ve Y. M ad M O. sed HIY ad IP minorem habec rationem, quam L M, id est
  45. TIIadMO ErgO HIK ad IR, minorem habec, quam L I ad L. MI, 8 per conver-
  46. sionem racionis RFT ad FTT, maiorem haber quam L N ad LMI. croopermucando
  47. TTKad E N, maiorem habet, quam FTF ad L M. Ouare cum ex const. FII, L. MI sinE
  48. aequales, necese est HIK maiorem esse quam L. NV. (Duod orde demonsttandumsi
  49. pece
  50. OStT1O
  51. EC
  52. Ecesrationis AB ad B C, terminetur in M; assumatur aurem ex lerie
  53. Dicorationis AB ad DL leriem, una cum lcricrarionis BC. ad L. L
  54. ae serie rationis C. D ad L, xquari Coricirationis AB ad BC.
  55. nust
  56. F. F DO FT TKF cirilc M
  57. lcricirarionis AB ad C D, aequalis magnicudo LIIE: Seriei auremta-
  58. tionis A B ad D E, aqualis L N.
  59. AM, cerminus quicum que DF.
  60. Demonstratio.
  61. Vandoquidem omnes AB, BC, CD, DF, ecc. in continua sine analogiz, BaceF
  62. militer B C, LL, HlL, _c. icenique C D, FC, TK osse concinue proporcionalesi eteo
  63. Cerieserium rarionum AB, D F, BC, F F, CD, F C, concinuantur perpecuo; in
  64. cra leriem AB, BC, CD, _C. ita ve inhiscribus seriebus simul sumpris, nec plures,
  65. nec pauciorescermim reperianeur, quam lincin serie A B, B C, C D, ec. manifestum
  66. igirur esthaseres series, seriei AB, B C, X c. xquales eMte. Quoderat demonstrandu.
  67. R O
  68. exclemencis AB, D F, C TI ex Sic in infinicum esse coneinue peoporcionales, Si-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 107. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0164?run=74