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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 276

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.

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

The machine reads it as

  1. paue ngun
  2. E L L. IP SIS. I i
  3. duaseducere semidiamerros quae lectorem constituanexqualem sectori AF B: PrO
  4. constructione juncta AB; ducatur ex F Pemidiameter quecunque ED: Cum a CxL
  5. recta ducacur D I Ccomiencum auferens aequale legmenco AB iungacurque II.
  6. PATCE TFDTCMCBCMGA RctOTI AFB. 19O1Z 5.12L∞5.131IC
  7. eROBOSIF1O L. X1.
  8. InE ABC, DBF sectores equales: iuncti(que AC, D F duCAEUE
  9. Dex B quaevis linea BC. lCcans AC lineam in F: dein lectori ABC
  10. hacequalis lector DB LI lececq; HTB linea, rectam F.D in l. 1 suprom
  11. Dico tam AC, DP. IIHCas quam BG, FIB in F e l proporrionali
  12. tex esse dinilas.BoCd
  13. Demonstratio.
  14. VnGATUT AG, OC, DFE HF. Ouoniam exhyporhes
  15. sCctOreSTaM ABC, DBHI, quam ABC, DBF Cune
  16. aequales, crune ex reliqui GBC, TIB F. X qualcs. quare
  17. AC B criangulum aquale eriangulo D FIB, de criangu-
  18. Jum COB aquale criangulo HIF B. quare vecriangulum
  19. B A C ad criangulum G CB, sic BD FI criangulum ad
  20. criansulum BHI R, scd (quod Facile cx1. 6. eAt demonstra-
  21. EH) raciOneS reCtarUM AF, FC, ex DT, TF, cadem sne
  22. cum racionibus criangulorum B AG, C CB, _ BDII.
  23. BTTF. Ergoo cciam, AF est ad FC, VE DI ad TF.
  24. Deinde cum rrapezia C+ ABC, BDTIF aqualia sinc (est
  25. enim ceriangulum B A Gs criangulo BD TI, e criangulu
  26. BC C, criangulo B FTF, aequalc) sc aurem _ AC B crian-
  27. sulum daequale criansulo D F. B, eric reliquum eriangulii
  28. uale religuo DFTF: igieur ve AO C criangulum ad criangulum AC B,
  29. onsra id est c ve G F ad F B GC D FTF criangulum ad criangulum D BB id ost ITI ad
  30. ext IB. Ouoderax demonstrandum. 1a WL LB: WilBPB. elC1
  31. rib hueilhoeg0rsantM23
  32. P R O P OSGI. T Y O WIL. X I. I.
  33. 3 cet et CCWlBAA EHBe
  34. lug
  35. Inc iam AC, C linet in F. de L proporetonalices diuila: nxlricur
  36. DEF F e I, CCMiametr BC BH. aitrgV
  37. a
  38. Dico AB G, DBHI sectores, eAC aequaleS. rocileup.
  39. TelT. A 11010So mo
  40. Demonstratio.
  41. ∞:CT 7 et. R 91P 1099E7ONE, E leV
  42. I erG iHE AICCTUTEL N, A H C minOr alcerO: Hac AB K sector aqualis sectori
  43. DBLB secetque BR InCa rectam AC in L, quoniam ABR, D BHI sectores
  44. luncxequalessi Exis perprimam parxemhuius AL, 2d P. C, ve D IadIF. Aequi eciam
  45. AF CA 2st F Co vE D L, ad, IF, igicur ve AF ad F C. Sc AF ad L C, quod heri
  46. non porest: quia punctum. P. cadic vlera aut ciera F. quare sector AB K non est
  47. ae qualis sectori DBHP nec alius quilquam praeter AB C. Duod crar demonstran.
  48. dum.
  49. 21L Eiritp 22 20 5St. E I C eD F A i. GuEG ViIrBSIEHEE
  50. D5
  51. 13rABIL BOBP. et adiiist 2S 1 2 ei trorcliit 39p C NSCColC
  52. tituih cdits. sCOgBG etBNOG C2H ∞Bu
  53. urole upuant nodui colrup ninsud et iLC Y R ovb 2310Bl a q R O.
  54. la 33t it CI dY A AlniBOM: N C A e13.
  55. 10g0, 3uxuorp 220 st _ 7 A. oral zuslot ay tcory slus siul oire
  56. 27C
  57. 2bid.
  58. bCorol. 60.
  59. nins.
  60. Egcit
  61. (e ue i e ttis u et ue t p ut sa pst a at u e t et e pe ue e e u te e su a nai

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 276. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0333?run=74