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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 648

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: 0.86.

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

The machine reads it as

  1. d
  2. HT Y P E R BOL A.
  3. PROPOSITIO CCXAII
  4. DALaSolam ABC sCCEF AB, d POHEIS DM ari paralleliS quX OcCUF-
  5. Lranc paladea L. C; ponancut L, BC parallela. diametris. hays
  6. tandem media propocoates et LV, M, lcilicet DF.
  7. Dico B F C essc ad candem hyperVraI.
  8. LV
  9. Demonstratio.
  10. DEE PUNCCA PP ducan-
  11. cur parallela EI ips
  12. B A, quxe lincam BC du-
  13. clam ex B parallelam axi
  14. lecentin C, O. Aancq; in.
  15. TeF IO, C F medix pro-
  16. porcionales FIG. crichrc
  17. Parabola prourlib. depa-
  18. culane Tabola 275. demonstracui
  19. eAtrigitur ve quadracum
  20. OHI ad CFI, quadrarum.
  21. ica est BC line2 ad lincam
  22. igicurre ADB eCcangulum ad receangulum ADB, ica est B C linea ad lineam
  23. BC. hoc eADE. recca ad reCram D R: sed vE DF ad D E, ITA rECTanGUIUM F. DM
  24. ad F. DMI recrangulum; igitur BD A reccangulum est ad reccangulum BD A, vE
  25. eAt F. DM reccanigulum ad reccangulum F DMI. eA aurem F. DMI reccangulo xqua
  26. le quadearum DF, exipla construccionesigieur vE BD A ad BD A, rcctangulum,
  27. ita est quadrarum DF ad D F quadratum. Ouare ligyec BFC ese hyperbolam
  28. cuius diamerer AB est cransuerta. Duod oporcuit demonstrare.
  29. TKOFOSTFIO CEKXIV.
  30. IEparabole ABC axis BD ad quem
  31. Dordinarim sic Consticura AC, cui (IF
  32. aequidistans F F, ductilque CI parallelis
  33. ad axem, hanc rectangulis HIC laequalia
  34. Quadrata OK.
  35. DicoKEK eNe ad candem hyperbola.
  36. Demonstratio.
  37. ETanc CK lineis aequales GF, _ AF X.
  38. qualis FV; Donacurque VM aequidistans
  39. AC. Ouoniam rectangulis FT C I Xqualia lune
  40. quadraca GK, hoc estrectangula LGK, _
  41. quadrarum GT. aquatur 2 rectangulis HOI
  42. ex GTII simul lumpris; e idem quadracum
  43. CT hoc elt rectangula MI C+ I XqUenEuE qua-
  44. dracis OK, de rectangulis MKI id cA M L G
  45. isicur rectangula ML I, hoc CA LIK, aqua.
  46. lia luncrectangulis OIFI. eA aurem FII, linea
  47. ad lineam FIL. veb rectangulum ATC ad AIC.
  48. rectangulum, igicur eriam M R I rectangulum
  49. est ad rectangulum MRI VE AIC, rectan-
  50. culum ad rectangulum ATC; puncta c erga
  51. KK sunc ad hyperbolam. Ouod Fuic demon-
  52. Aramdum.
  53. PRO.
  54. EBCOD ASAES iCASI
  55. BG. sed quadrato F C aquale CM LB E recrangulum, hoc est L. F. G, hoC est A DB.
  56. 47.D0
  57. con
  58. versa 36.
  59. Buins.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 648. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0705?run=74