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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 79

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: 0.80.

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

The machine reads it as

  1. ed
  2. De
  3. P.
  4. Por.
  5. sed
  6. rC.
  7. abet
  8. ngU
  9. AEuI
  10. 3al0
  11. pi
  12. CIF
  13. recta
  14. iplaer
  15. cent
  16. datis
  17. CF In
  18. dpe
  19. cC82.
  20. me.
  21. nalie
  22. quale
  23. S1C.
  24. mnao
  25. L. ON. L LRLC L
  26. Lemma.
  27. TFuerinerres B. A. D As C A in concinua analopia, rectangulum supet maxima
  28. us AB.
  29. AB, _ excessu CD lecunca laPC CerCa; Hon et iC ss Geacuco CIE IP.
  30. Demonstratio.
  31. Voniam enim B A, D A, C A sunc continux proportionales, crit vE B A 2 A L L. Huim
  32. 1. AC D D ad DC. Ouare rectana B AC D, _ BD A aGUAHTUL. SCa . SexII.
  33. Cllat t BA, non ele Maius quadrato dimiaia AB C VEPACCE ervO neque C5. Secnndb.
  34. rectanculum B ACD maiuseric quadraco dimidia AB. Ouod crac demonstrandu.
  35. TKOLOSTCIOZXXIX
  36. Acamaxim a erium concinuarum, ee excessu quo media superaE m P
  37. nimam, exhribere MCCTAML LL MMMMIIITAII.
  38. Constructio es demonstratiu
  39. ctanoun Abes asuale Guactaum f: Quomam ers per lemma pracedensqua.
  40. dratum F F, id est rectansulum AB C, non maius est quadraco dimidiae AB. pacoc
  41. ica d secari posse AB, ve rectangulum sub parcibus; Lquale AE quadraLO F F. lca-
  42. que dividatur recta AB, in puncto D, verectangulum ADB xquale sic quadraco
  43. F. L. Dicopunctum D este quod problema loluies hac enim recta C7, aequalis linca
  44. DC: crit ieaque rectangulum AB CD aequale rectangulo AD B, cum verumque
  45. 5. Secundi.
  46. seglia le sEquadratO P F; ergO vE AB adc AD, ica eA BD ad D C: E iam a rect at - C 16. Sexsi-
  47. sulo ABC D, auferas rectansulum BD C; remanebic rectan guluni AD C; s VCFO
  48. 2 rectarigulo ADB, auferas idem BD C, reliquum erit rectangulum A C D B: acqui
  49. EOta ABCD, AD B sunc xqualia, ieaque ablaco communi, crunc de reliqua rect an-
  50. sula ADC, AC. DB xqualia iicer (C; isItuF vE BD ad DC, Fid eA (SicuEiam ORet F14. Sent
  51. si) ve B A 2d D A, sic D A dd C A. Suncigicur eres in concinua analooia AB, AD,
  52. AC; _ CD aequalis C, eA excessus, quo media AD, excedic minimam AC. Fa.
  53. dum igitur eA quod requirebatur.
  54. Aca sic AB linea Manm aexium PrOPOMONAuI, d C aqualis excestui quo
  55. media superac minimam: oporreat isicur invenire mediam ex minimam. Aac re-
  56. ER O POSITIO AL
  57. aloclobuscaCcBuS, crium masnicudinum in continua analosia
  58. existentium, exhibereeres continuas.
  59. Constructio ex demonstratio
  60. AceCeus AC. C B, Guiponan-
  61. cur in directum; de CrISANEUE AD
  62. Patallela, quainter se candem ra-
  63. cionem scriene quam AC ad CB; 8
  64. ducta pet puncta D _ F rectaDF, con
  65. veniae cum AB producta in puncto quo.
  66. dom P. Dico Factum quod postulaturo
  67. sidra

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 79. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0136?run=74