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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 933

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.

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The machine reads it as

  1. PROPORTIONALITATES GEOMEERICE.
  2. Demonstratio.
  3. GtaEvE C ad F, it a F ad
  4. LFI. Bitur ralio B L ducto
  5. in C Frationem, cAicicara-
  6. tionem B ad Hl, cM MMCM
  7. C F racio Cpua Lal10.
  8. nis BP: isiut ratio B, 24
  9. est criplicaca racionis B ad
  10. F. Sedracio D ad 6, simili-
  11. extibere ratt ad C. Quod erac deuonstrandum.
  12. 275. huius.
  13. b:
  14. 2. Pro
  15. ter est criplicataracionis BP. igitur parer rationem BL Auctam in rationem C F,
  16. tROPOSTTTO CZZX.
  17. lucoa Coe proporcionalium leries A, B, C, X, D, L, F e 6,
  18. DIEI,Z, I, L,M: SinE autem Z X Z xquales.
  19. Dico ( C, , D lin CaB, C L, L. d A, C, M, F elle
  20. in continua.
  21. demonstratio
  22. Acio BH, C dupt
  23. aest rationis CF, hoc est per hypochelim rationis LL. ICa C27. Pro-
  24. ciusdem rarionis TK duplicata cstrario HL, quod HI, I, L R, L, Uinc in conri- es
  25. nua. Ergo B eA ad FI; vE FI adI. scd d cciam L cR ad F, vE B ad FT. ergo B,
  26. FI. L, F. sunc in continua. Ouod erat demonst. eodem discurtu ex ijsdem illis propo-
  27. litionibus 26. e 27. Plogreslionum demonstrabimus elle coneunlle proporctoltales
  28. test
  29. 26. Pro:
  30. A. C, M F, de SC in inAnitum:
  31. P ROPOSITIO CZXKI
  32. a getalibus X, Z
  33. IEdemposicis: sumantur B, FI, et E, L. aequaliter distantes a mediis X.
  34. Dico rationem BHL esse ad rationem HIB, veratio BF, cstadrario.
  35. AeIIL.
  36. Demonstratio.
  37. Tac ve B ad HI, sc FF ad N, crix Crario B H ad rationem AB, vE B ad V. Hal
  38. deinde re E adII, Ec P ad P, cricEracio B R ad racionem ll L ve B ad L. ila huius.
  39. aucem ex constr. I est ad FI, ve B ad P, eric permucando L. adt B, ve IF ad L. F 13. huitn
  40. sedSre L ad F, hc B cs ad FI. ergo FI est ad P, ve B ad FL, hoc CS1b. 11
  41. EI est ad N: aequancur isieur NV, _ P. ergo B CM ad NV, Ve B cA ad P. OuatC CMIISs
  42. rario
  43. oll. 18
  44. cn

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 933. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0990?run=74