Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 27

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: 0.84.

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

The machine reads it as

  1. B.
  2. Ice
  3. 10.
  4. et
  5. c.
  6. I1-
  7. VC
  8. edt
  9. 1
  10. POZL NTIA.
  11. EROPOSFFIO XXXV
  12. Aco puncto A inera anou-
  13. lum BC D; per A rectam
  14. ducere pertingentem ad lacera
  15. BC, C D, vrrectangulum quod
  16. Cub Ceomentis ContineTuT, X-
  17. quale sc quadraro dato Z:
  18. quod oporrer eAe non minus
  19. minimo rectangulorum qua
  20. segmentis linearum per A du-
  21. CLAEUI COHTINCHEOT.
  22. Constructio es demonstratio.
  23. Vadcacum Z vel aequale est mi
  24. Lnimo rectangulorum qua sub
  25. Tegmentis linearum per A delcribi
  26. Possune, vel maius. Si x quale, a8acur
  27. per Alinca B F exhibens R C Perian
  28. sulumiloscelesi pacetper praecede-
  29. cem P AF rectagulum equari qua
  30. draco Z. Sicigicur quadracum Z ia-
  31. ius minimorectangulorum. DucA.
  32. cur per A linca D B re in A divila sc bitariam (quod ROr S duet a ex A linCA RC
  33. parallelalareri C B, hac D C linca aequalislinea GC: d ex D per A recta ducaeUE
  34. DB) dein ducatur linca FIK, parallela rectae FF, a criangulum auferens ITC R a32. Ruiuii
  35. aequale criangulo BCD, cricq; HIC K quoque ilosceless ec, FII quadrarum b quo d b33. Ruins
  36. Ec a dimidia linex FIK, aequale rectangulo F A F: quod per hrpochesim minus est
  37. quadraco Z. duplaigicur rectx Z maior eric linea TIK, Porericque auterre criangu.
  38. lum isosceles sub angulo C, maius criangulo TTCK. DUCAEUF CFGO L.M, dupla re-
  39. ax Z, auterens crriangulum P. CM aequale rriangulo TIC R; e per A rect 2 292- c,2. Xuius.
  40. cur NP, Parallela linex P.M. Dicolactum eNe quod pericur. cum enim recta BD
  41. in R dinila sic bitariam, e per a ducta quaedam NYP, cuius parallela P MI, crian-
  42. sulum auferr aequale criansulo EICR, id et per constructionem xquale criangu- dy3. Huins.
  43. I0 BCD; cric N A P reccanoulum aequale dguadraco dimidix ipsius L NI, id est per
  44. constructionem quadrato L. duximus ixicur per Alincam; ex c. Duod erac Faciendum.
  45. PROPOSITIO XXXV1.
  46. Sco A BC criangulum Ccalenum ductâq; ex
  47. LC, linca CD, ad oppolirum lacus; quae
  48. angulum ACD aqualem Faciac angulO AB C,
  49. ducatur ex D linca DE, Paralsela ip (iC B, quam.
  50. in FI secent recta quorcuriqué FO parallela
  51. ipsi CD, Occurrenees C a D erianouti laceri
  52. Dus in F, _C
  53. HC) t etC)
  54. DicODHE rectangula, aquari rectangulis
  55. FHC.
  56. Demonstratib.
  57. Lxqualis angulo A B C, id cA AD F: sunc aurem e
  58. anguli PHD, E. HC ad vercicem opposir incer se
  59. Noutus, A O FidCA ACD, per ConRrcciorem est
  60. aequales.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 27. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0084?run=74