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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 89

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: 0.81.

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

The machine reads it as

  1. de
  2. lon
  3. BC
  4. a
  5. onis
  6. SE2
  7. 3
  8. est
  9. DOr.
  10. CtI.
  11. 12
  12. 10.
  13. e
  14. 10
  15. eMC LACC A
  16. PROPOSATIO LXIII.
  17. Arxe sinerres concinua prepe onales, AC, CD, DL. aDL
  18. SCo Quaaratum AB, aqualc esse quadcaris AD, CB.
  19. Demonstratio.
  20. cca licin B.
  21. Via AC, C D, DF Sunein CONENUa prOPOrtiOnC, quadTALIH C D LXGUIALUIEFC- 217. Sexsi
  22. clatguto ACDF. HoC est (quoniam D F bilecta ponitur IIB) rectanoulo
  23. RCDB bis Cumpeo. ale u verisque commune aadatur rectangulum CDB BIS.
  24. elic quadcacum CB, cum FectansIo CDB bis, aequale rectangulo ACDB bis.
  25. cum rectangulo CDB bis; jux quacuor rectangula consticuuneo rectanoulum bI. Secudi.
  26. AD B bis. Rursum ergo communi addico quadraro DB, erir quadracu C D. C
  27. rectangulo CDB bis, d quadraco D B, id est cquadearum CB, xequale rectangv. C +. Sccun-
  28. 10 ADB bis, cum quadraco DB: itaque communi addico quadraco AD, cricre.
  29. ccangulum AD B bis, cum quadracis DB, AD, id est d quadeacum AB, ae quale qua. d ubid.
  30. dracis CB, AD: Quod erac demonstrandum.
  31. LLOFOoTEIO LMEI.
  32. Vinccrese in concinua analogia AB, BC, C D, _ dividatur C D
  33. Sbitarian MIF.
  34. Oeo uadrarum AC, a Gualt Glladratis AC, F. B.
  35. Demonstratio.
  36. Vn sinc continux proporrionales AB, BC, CD, CrIEDE BC CAd C B, HC A C et. cuius.
  37. ad DB. Hiee reccangula CBD, A CD aequancur. Sed reccanoistum C BD est
  38. rectangulum CD B, cum quadraro DB, hoc est (quoniam ex daris C D bilcera cA
  39. in B) recrangulum R DB bis, cum quadrato DB: rectansulum verO ACD, CA rC-
  40. crangulum AC F, bis; eroOrectangUIUm F, DB bis, cum quadraco D B, XGUAEUERE-
  41. crangulo ACF bis: _ communibus addicis quadraris A C, CF, SInC F D, CrunE
  42. receangulum F D B bis, _ quadraca BD, F D, AC, Simul Cumpea, aequalia rectan-
  43. sulo ACF. bis, _ quadraris AC, CF: Acqui reccangulum F D B bis; cum quadra-
  44. eis DB, F. D, AC, ae quale cA quadraco FP, B, ex quadraro AC; recrangulum veroF4. Secun-
  45. ACF bis, cum quadratis AC, C P, xquancurs quadrato AF s erBO quadrata P. B, ibia.
  46. AC XQUaNEUT quadraLO AF. Ouod cras demonstrandum.
  47. eROPOSIFIO LXV.
  48. TOnrinux proporrion AlesHInEAB, A C, AE, ec ex BC, lumi poLL
  49. Scorcratisalum LubBA ex Tub C D, A L, camquam rna linca col.
  50. Aructum, aequari quadrato AD.
  51. 1bD aequalis AC.
  52. Demonstratio.
  53. D ECCanGUIUm B A CD, BXC UNEUTRCCEangUIO BC DICHTGHAALLO CD, d h L. Secun-
  54. reccansulo BD C) una cum i: cransulo C. D. ua a flates Milil B0l iu sccundi.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 89. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0146?run=74