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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 394

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.

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The machine reads it as

  1. 394
  2. P AK RBOLH
  3. S. Clrii AX ∞3PXitC, 1 13 . D e la et s. 2B 3123, :d Y L∞ E A gcust Ccn
  4. . 2.2 Demonstrario. bi D Br. e L
  5. VONiIM GF, FTF, CF proporcionales sunc, TPF est ad C F, vE G F ad HF.
  6. LhOC CADE A F ad HIF, hoc est ve AB ad FTB: igicur diuidendo FTC est ad
  7. CF, ve ATY ad HB. Duod erat demonttrandum. I utisctqrautl
  8. ic
  9. ai
  10. L.rmuou
  11. DArabolam ABC cuius diamerer AD, _ ordinarim ad illam polica
  12. CD, Concingat in A linea AL, quam in P. secer diamieter C P. iun
  13. Ccilq; Pinctis AC, ducatur diameter guaecum que F C, Sccurrens parabo.
  14. Ex in B. deinde act â per ornam linca HIl, gux F C FeCtX OECUIEE
  15. (nI, e AD diamLI cCatuT ex Glinea C3R parallela D C+ ilu
  16. Dico Varaet cut L. B ae quari parallelosrammo K B. 1: 91 HIV
  17. 31 111
  18. 1. (.C
  19. n il Demonstratio. colo mmo
  20. 1p
  21. L1. 2 115 et el 12. C EH
  22. JT AC ad GC; sc AF ad FF, id est HB 1d
  23. BI: SedvE 2 AG ad GC, SiC F B ad B C: igi.
  24. TUE VE FTB ad BI, siC FB ad B EF; TUNE aUECM An-
  25. suli ad B oppolici xquales. igitur parallelogram.
  26. mum F. B aequalc b cs paralICloSraMO K B. Ou0d
  27. erac demonttrandum.
  28. 1M1
  29. 1
  30. PROPOSTTIO LXX.
  31. i
  32. IE ABC, parabola diamerer AD divila
  33. DIn E _C F; VEAF, AF, AD Cint proportio,
  34. DicoFTCrquidiltare diamerro _D, _x contra (i HI C xquidistet dia
  35. MEETO AD, X Pet LL OTMMITACHM POnatuE FB, dicOAF, AF, AD eAeprO.
  36. Demonstratio.
  37. Vm AE, AF, A D proportionales UnE, recta
  38. quoque cCD, B F, C L in concinux Cuncana.
  39. 10gia. sed de DC, FB, F FT d quoquE TUNEPrO.
  40. porcionales; aequalesisitur sunc LF F, GF linea.
  41. quare HIC aequidistate diameero AD, quodtui
  42. primum.
  43. Siciam ETO patallela AB, e per EE ordinarim
  44. applicetur BF; dico AF, AF, AD quoq; in con-
  45. L+. Mm. Ma esse analogi Cenim CD, BF, FTF, linex sproporcionaleS LInC, et GF, X
  46. GaecE HIF, CrunE _ CD, BF, C F. concinux proporcionales. vnde AD, AP, AB
  47. 35. SI Conciua quoque lunc analosia. Quo d exat demonstrandum.
  48. nt
  49. ER OPOS IFL LALI
  50. eLO
  51. POSITIO LXIX
  52. nales, policilque ordinarim F. G7, F B, DC, iuncta AC occurrat F B in HI:
  53. B Percle-
  54. penta.
  55. Porrionales.
  56. C 33. Mitus.
  57. 842. huius.
  58. cPerel
  59. nen
  60. Percon
  61. SeoA B C parabole diameter AD, quam in D secet ordinatim linea
  62. sC, act aeee pe aneto C F, ducarur ex A linca AF (ccanS
  63. Parabo.
  64. A e quete ate es . 1 . 1e s t e 1 . 1 1 . 1 e e 1 e . e. 1 1 1 e 1 11 61. e t t p

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 394. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0451?run=74