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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 433

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. p
  2. eM
  3. DE
  4. 13
  5. 97
  6. c.
  7. 1d.
  8. F
  9. PtA R A B, O L. A
  10. duplicata est lacianis B C ad BO5 _ ratio GB 2d G D, dplicara eAt rationis
  11. CF ad CF, racio isicur rectanguli AC D adrectangulum AED duplicata est
  12. eius quam habet BC. P. rectangulum ad rectangulum B CF. Quod erac demon-
  13. strandum.
  14. PROPOSITIO CLXLL
  15. to e oesit cleder
  16. Idem posiris: eriganeut ex C_ F diamorri C L, L L Oceurrentes linet
  17. LBE in R _ B E _ LIB LIZMS..
  18. Dicorectanguta IE GL, BGF, FIC Iin continua clse analooid.
  19. esstBhBROHOl
  20. Ibs e 23nc. Demonstratio.
  21. R Ectangulum K C L ad rectangulum B G E, ratIONEM HADCE COPOSIEAM CXKC
  22. 2d BC, _c ex CF ad OF: e BC F rectangulum ad rectangulum HOI,
  23. sarionem habercompositam ex B, C ad FI. Cis id olt HG ad BC, d ex C+ F ad GT.
  24. sid est C L. ac C P: rectanioulum isicur H CaL, eA ad rectangulum BG P, VE BO F.
  25. rectangulum ad eoctangulum. IL C)I. Dyod eras demonstrandum.
  26. 25 s es gi u
  27. 2maimondaDR OP O SI FLC, CL XIII.
  28. West
  29. Incrursum parabolX dux ABC, DFF: _ AB C parabolx quidem
  30. Dapex (Ic A, parabolX veto D E F Ac apex D, in quo contingat axem
  31. AD in D: Factilque AG, D ITlineis aequalibus, agancur per C a FL, nor-
  32. ales ad AD3 linex F BsF C occumences parabolisin E, B, F, C.
  33. Dico ECB rectansulum ad rectangulum F HIC quinicuplicatam ha-
  34. bercrationem eius quam habet C B linca ad lincam IIC.
  35. B. Demonstratio.
  36. Atio FGB rectaneuti ad reet 2t-
  37. LLoutum EHC, composira cA ex
  38. ratione F C 2d F HI, hoc est duplica-
  39. c2 CD 22d FID; id cA AFI 2d A6,
  40. (cum AG, FID lincx aquales LnE)
  41. hoc est ex quadruplicara rarione C B
  42. ad HC, de exratione GB, ad HC:
  43. rectangulum igicur F OB Ed FHC
  44. rectangulum quincuplicacam haber rarionem e B ad HI
  45. dumsRX
  46. PROBOSIF
  47. NICABC paraBOIX axis AD, _E AP F patabera Verrex A, in quo illam
  48. L conringat linca AD, politaque F C B ordinatM ad AD ducatuF ee
  49. alECTA FD C, VEG B, FD rectae aequales (INE.
  50. Dico rationem F. G ad DC
  51. quincuplicatam esse cius quam
  52. habet GB ad DC.
  53. Demonstratio.
  54. DAciO L C+ AA DC COMPOIICE
  55. Cexrarione L C 2d F D, hoc est
  56. duplicata AC, ad AD. hoc est qua-
  57. sruplicata rationis CB, 2d DC, Y
  58. i
  59. 3. tot
  60. Quodtuir demonstran-
  61. itititi
  62. t121315+6 + 18 10
  63. 1
  64. a eo

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 433. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0490?run=74