Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 789

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: 0.83.

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

The machine reads it as

  1. 1
  2. in
  3. e
  4. Demonstratio.
  5. actaca F A hoc sCC
  6. diS F BF vna cum quacati
  7. rectangula xqualia u Guacacts
  8. AL. xqualta eteUr lunC G+ AD rC.
  9. etangula, rectansulis LL. Va C
  10. rectangulis B AC. rectangusis au-
  11. cem G AD aequalia lunc rectan-
  12. suta CrAR, CADR; rectangula
  13. iBICUE C AR, C AD R aequalia lune
  14. ductum in BFb et equale DL ducoi a
  15. LF A F a aqualia sunc rectansu
  16. BA
  17. id estrectangulis B A C. irem G A L
  18. rectangulis FBF, B AC: ablatis igitur xqualibus ex hypothehrectangulis B AC
  19. GAK manec rectangulum F B I aequale rectangulo DR C A. erxo planum F B
  20. eROPOSITIO CZXXI.
  21. b 46. hiunius.
  22. Tameeri dux A C, BD Pemicirculi A B C ad angulos insistant rectOSi
  23. Dico F F. planum ductum in planum F. C, corpus proterre xquale illi
  24. quodbalim haber criansulum AB D _ alcicudinem BD.
  25. NE RLMLCHE. PaTaIC-
  26. IX ad A C, aGAHEUT PEF B dC A
  27. contingences qua convenianein
  28. O; Pohrisque NFI Parallelis
  29. AC, tiane proporcionales NTI
  30. FI, C I, icem NB, F I, R T: CruHE
  31. CARB, DL B parabOIX. SCCC-
  32. cur deinde BD bitariam in 9
  33. Ponaturque OP xequidictans AC, occurrens parabolis in R Y, Semicirculis aurem
  34. in S e V, ducacurque recta AB, quae circulo F F, _E FCCtX MM occurrit in
  35. eodem puncto S, ve Facile demonstrabicur quoniam AKB patabola CR, 1 pFOpOF- d67. Pa
  36. cionales sunclinex PO. F S, P Y: eAt aurem PO in S bilocta, recta isitur PS in Y
  37. 3c
  38. quoq: bilecta elti _ S L dimidia est iphuSS P, hoC estS O. quia vero P C, SO, R 9, 299. pa.
  39. proporrionales Tunt, _ 59 dimidia P O: recta quoque R O dimidia eAt S 9, FX - rab.
  40. qualesigirursuneT S, R O quoniam aurem L I cAt ad RO, ve DIB rectangulum
  41. ad rectangulum D OB id cA AMT B ad AS B rectangulum, _ VE AN B rectanou-
  42. lum ad rectangulum ASB ECFM K linca ad lineam Y S, crieve F I ad R G. SICMR C47 parabu
  43. ad FS, id est R 9. Xequaeles ioicur (unclinCx LI, RM, vicerius cum F C in Idiui-
  44. (a Ecbitariam ex non bitariam in F quadraca F Pequalia sunc recrangulis F R G, Vna
  45. cum quadraris FI, id est (quia NT, F I, P I Cunc conrinuxe) una cum N I rectangulis
  46. id Cst (quia F I, RMIxquantur) rectansulis NTKM. Scd F L quadrara quoque xqua
  47. lia Cunc rectangulis NFK, (quod NI, FI, RI. sinc proporcionalis) rectangula igieur
  48. NTIK Equalia sumr rectangulis F F G, _ NIKM. rectangula aurem NIK aequalia
  49. quoque sunc rectangnlis NTMs NTTMK, igitHE NTMT, NIMR ceccangula equa-
  50. lia sunc reccangulis N IMR, F P C. dempeo ergo communi NIMT K, reldua N IM,
  51. FFC recransula aqualia sonc: planum igicur F P duetum in B Ct XQUaEUTML
  52. criangulo, ducco in. quadratum N Lidest in alcicudinem BD.
  53. htrhh
  54. Diunctaque AB, describatur super B D ve diamerro circulus B F. D.
  55. Demonstratio.
  56. Veancur saelcunque lu
  57. i . te es i t ue u t e t e s ta t e e ete ti et e t t t e e elt

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 789. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0846?run=74