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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 173

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: 0.91.

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

The machine reads it as

  1. 21
  2. lest
  3. CIR CV LVS
  4. lBitur lineas AB, F F sibi inuicem normales esse. Quod fuie detonitran.
  5. dum.
  6. Corollarium.
  7. lnepacer, F. F. lineam, qua circulorum sese incerlecantium cenera conjungies
  8. bitariam quoque diuidere arcus, muruisperipheriis inTerceptOS.
  9. P R O POSITIO XI.
  10. A ABC crian cum, Cuper cuius bali AC, de seripEuM uo-
  11. bet circuli segmentum; oporret super reliquis crianguli laceribus,
  12. legmenta de scribere, similia illi, quod super base delcripeu est legmento.
  13. Constructio es demonstrario.
  14. Ranseat primo segmentum luper basi policum, per
  15. Cngulacriansuli excremas describatur aurem cix-
  16. culus per BC, vei ec per B A, qui rectaS AB, BC COn-
  17. cingac in B. Dico factum quod postulatur. Ouo-
  18. niam BC linca concinsic circulum ADB in B: crIE
  19. angulo AB C, aqualis angulusa segmenti ADB. CO.
  20. dem modo angulus sesmenci BP C, ae qualis est angu-
  21. I0 ABC. quarc segmencorum anguli AR B, ABC,
  22. BDC, aequales sunc incer se; de similia proinde (c.
  23. Bmenca.
  24. Sccundo B verrex crianguli ABC, cadac intra po-
  25. rimetrum scomenci, super AC exstructi: productis
  26. laceribus AB, BC, donec occurrane peripheria
  27. circuli AF. C, in F e B. delcribantur circuli per
  28. AF B, BF C: cricque peractum quod postulacue.
  29. iunctis enim AP, CF. exturgent anguli AR C, AFC
  30. eidem arcuiinsittentes aequales, ac proinde ADB.
  31. AF C segmenca similia crunc: rurlum cum anou.
  32. IuS AF C. SE aequalis angulo AF C, id est BF C,
  33. CrUnE _ SCOIMENEA AF C:, BFC, incer le similia.
  34. QuarCErIa ADB, AFC, BFC, limilia TunE.
  35. Tercio B vercex crianguli AB C, extra sermen-
  36. ei ambicum consticurus sic, quod super bas ex-
  37. Rructum est; occurracque perimerer crianguli
  38. laceribus in punctis F, _ C. Tum Per BFC,
  39. BCA, circul describantur. Dico tactum esse
  40. quodpecitur. lungantur AC, F.C. Quoniam an-
  41. suli AFC, AC C aqualessun, crunc_ B Fi C.
  42. BC A reliqui aequales. QuaTE _E AECUS AD B,
  43. B F. C quibus insictunt, limiles func. Rursus cum
  44. angulus ACC cam cu ansulob Ccomenci AH C.
  45. quam cum ACB angulo, duobus rectis aque
  46. cur demprocommuniangulo ACF C: CrunEAN
  47. suli AGB, AHC, adeoque ex reliduorum le
  48. smencorum anguli AD_ AC, C, aequales, e
  49. AGC, BD A, Scomenca similia: cA aucem B F C segmoncum oltentum limile le.
  50. smenco AD B, cria igitur segmCnEa AG C, ADB, BF C suncincer se similia.
  51. Ouarro B punctum cadens exera segmencum baleos, constituae B A, crianguli
  52. lacus. Contingens circulum AOC in A. lacus vero B C, cundem secet in C. per
  53. puncta B, A, C, et A, B, O, circuli describancur; dico illos saristacere pecirioni
  54. ium-

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 173. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0230?run=74