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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 83

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: 0.82.

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

The machine reads it as

  1. D
  2. Or re
  3. Met
  4. 3, de
  5. 3
  6. sulum
  7. 1
  8. uobu
  9. CD.
  10. ereli
  11. ionis.
  12. CB,
  13. suli
  14. Sicu
  15. sul
  16. CD
  17. AB
  18. AlUI
  19. AB
  20. igi
  21. 140,
  22. ex lei
  23. H
  24. E,
  25. th
  26. 1c0
  27. GEOMETRICA.
  28. DABTCCLAHSHIA ABGFI, A CIET, IECM ADHH, A E L FL, AFMIT,
  29. ac. ese omnia incer se xqualia.
  30. demonstratio.
  31. 6. dedi11
  32. LdatIo VE A B de AC, HC LEL A_ OFL, CBOTCCLAHBuluM, 2 ABGFF, X91I2-
  33. ux rectangulo ACTTI. rurlum exdacis ve AC ad AB, sIC RII ad TFI; Cr9O
  34. cclanum ClEl brectangulo ADREF aequale crit. Simin e Tengb-bidin
  35. rum aequalicarem olten demus. manifestum eA isitur quod fuerac demonstrandum.
  36. Corollarium.
  37. Voniam perprimam huiusposicis concinué proporcionalibus AB, AC, AD
  38. AL, icemque L, THL, RFL. L. LemLe cusum difterencIK YP, P D,
  39. C, _c. GT,IK, KI, dec. sunc eriam in racione continua, manitecte pacec eadem
  40. Mcctendi mechodo demonttrari rectansula LELM, DF LCCDEK3 BCF
  41. llose inter le aequalia eMe.
  42. R O
  43. Ine dux Peries quete Comaru CMIdCMFaTONIS, A, B, C.
  44. ,tl, D, L, F, C, R. IC dutem rectangulum AB, aequale DI. re.
  45. Dico etiam rectangula BC, EF: C C, FI; GiFI, TK; d HC deinceps
  46. tangulo:
  47. aequalia esse.
  48. Demonstratio.
  49. oportio rectanguli AB, ad rectangulum D F, componitur c exrationibus A 2d L3. Sexit
  50. D, B ad F; sed rectansuli B C, ad rectangulum F F, proporcio quoque com-
  51. iiidem rationibus componuntur proporriones rectanoulorum A B, DLi: BC, F. P,
  52. adeoque cadem lunc. quare cum rario rectanoulorum AB, DF ponatur aquatta-
  53. es, rectansulorum quoque BC, F. F aequaliraris proporrio eriri eodem modoreliquil
  54. rellesuus oltondenturxqualia. Duod crar demonstrandum.
  55. ponieur ex Laliontbus B de L. dC das hoe el si al aanteun eaatsle
  56. exaequo lic A ad C; ve D ad F, cric petmutando A ad B, vE C adt) CrgO CX
  57. PROLOSIIIBRVaIa
  58. ngula , bC, Cb, bHl; aDL, L. 13t1, Ik lingula Cin
  59. xqualia:
  60. Dico esse A adC, b alt f, a Bad 6, H L det L, a Medlcinceps.
  61. Demonpratio.
  62. Em rectanonlum AB, aequAlC SICRECtANSMIO D L, _L LCCLAHIECLHNI BC, RECCAII-
  63. sulo F. F; ergo verecransilum AB ad D V, sic BC ad P F: e permurand

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 83. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0140?run=74