Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 81

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: 0.74.

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

The machine reads it as

  1. icur
  2. B1
  3. Dro
  4. pil
  5. cdi.
  6. den.
  7. IUX.
  8. 12.
  9. m.
  10. BF.
  11. 012.
  12. E a
  13. CP
  14. tum
  15. erit
  16. Det
  17. .
  18. dP.
  19. et
  20. _L D ME FRACA.
  21. ecltuetione dimnidiara est rarionis A C ae CB; tormus eteo quod lverat pro-
  22. POLCum C.
  23. it
  24. Cordnarium.
  25. Asc problemare licebie praxim delumere, non lorum lubdiuidendi duas in
  26. quacuor concinuas, sederiam in sex concuas; imo quoruis datas in duplo plures
  27. Concinuas, ec quidem in rarione dimidiara eius, in qua iplae exiltun.
  28. Ed1
  29. VIEAB, BC, CD in cBriL A
  30. Ocinua artalo eid; deinde Foces
  31. eut quapiam linea FO in B, ve
  32. s
  33. 3F
  34. FF ad F C, eandem habcacrationem, quam A B ad BC
  35. Dicotoctateulu BC FB, aquale elle duobus ABFC LFC
  36. rectangulis.
  37. Demonstratio.
  38. Vaienim heve AB ad BC, lta FB 2d F C, Rectansylum BC DF + quale eA a1s. SenI.
  39. rectansulo AB P C. Similicer quia ve B C gu C V, ica Fi, H est ad BB Ca
  40. rectangulum BC FC =quale rectangulo CD F. F. duo 18IC BC F FBC F CY FC-, B 1. Socudi
  41. clangula id csb rectanoulum B C. F C, aequalia sune duobus BBC, CD F B ren
  42. ctangulis. Quo derat ollendendum.
  43. R
  44. 1c0 m M210ch ilum
  45. Y fuerinc quocuis contimix proporrionales AB, CB, DB, EB, _C.
  46. D Dicorectangula ABE FG CBDF, DBCD, E B. AC eNe inteT Ce
  47. aequalia. Hloc est rectangula sub linois seriei AB, CB, DB, _c. e (ubKe
  48. Siduis FF, DE; CD, AC eseinter. se aequalio; modo rerrograde con-
  49. IUASAREUL.
  50. Demonstratio.
  51. Voniam est ve A B ad e CB, siC DE ad FF, rectaneutum ABK F aquacur CI. Huius
  52. Ldrectansulo C BD P. similicer quia ve CB ad DB, ica C D est ad DF, CxIF L 16. Sexil.
  53. rectangulum CBDE, aquale rectansulo D BCD. rurlys quoniam DB est c, ad e1. Hmins.
  54. E.B vc AC ad C D, rectangulum D BC D equale cric ip A BB AC, xequalia fUNE
  55. sicuromnia incer se. Ouod erar demonstrandum.
  56. ldem pontto.
  57. Root
  58. AL. tV
  59. Dicorectansula EB AC, DBCD, CBD F. ette inter le xqualia.
  60. monset atloi
  61. Vitemm CB ad DB. IaC BdOF: COMC BDF aequa-Eibid.
  62. ClFSFCCanO D B CD. Sed curtum ve D B ad P B, SiC AC ad h C D, quarC I. Huim-
  63. ant ectansulum DBCD, xequalo cric rectangulo R B A C; oRenlum aurem fuic
  64. canoulum CBD F, elle rectanoulo DB CD eequalC, quare d haC duo FB AF
  65. u CBDP. proindecsuc omintairla inter se crunr aqualia. OVOd etaE demonctran.
  66. dum.
  67. Edet

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 81. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0138?run=74