Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 435

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. C
  2. eri.
  3. M
  4. PI
  5. MM
  6. 2d
  7. e
  8. at
  9. P A R ABC
  10. erac democutatdum.
  11. quoque est rectangulo C KHI. L C K, F K. H R dnex inconrinua analogia. Ouod
  12. PROPOSITIO CEXVIIL
  13. Sto ABC Dparallelosrammum; delcHIpCaG; DEF A d C, parabol
  14. scuius dianerer A D, ee concinsens AB, dclevatur d alicta pet
  15. B _ D, cuius diamecet sic BC _ concingeits D. Occutrat AueM para-
  16. bolae AFC in F. deimdeper A, E, C puncta cerria de Ccribatur parabola
  17. communeshrabens Cum aliis aiaecros.
  18. Dicoiunctas AC, BB, parabolam AF. C conlhetei AaC.
  19. Demonstratio.
  20. quadracum ad quactacum AB: lunc au-
  21. adquadracum AB, H AI quadracu ad
  22. xqualia lunc, e linca AB dupla A F, vei
  23. A D dupIa F C: quaEC E F etiam AC
  24. lineae occurrie in C puncto, quobitariam a DB, alcera paralleloorammi dia-
  25. meeroO seCaTUE. Rurlum quia AB quadratum quadruplum est quadrati FB, crie
  26. _ BC linca, quadrupla linex F Fs est aucem AD id est BC, ostensa dupla FC
  27. igicur F C dupla est F L, X F F, F. C linex aequales. vnde BD linea a est concin:
  28. sens; limilicer oltendicur A C lincam, parabolam AF. B concingerc. OuOd CTAE
  29. Corollarium.
  30. Tinepatet AO, B DIincas, I Mo puncto se incersceare, vbi P C est Xqu alIS FE-
  31. Ax F P: quod singularim ec explicire annocare verbo placuie.
  32. PR OP OSITIO CLXIX.
  33. Ildem postis. Molcet E punctum incerlectionis exhibera
  34. Constructio e3 demonstratio.
  35. GaCUE PEF F, diaMCTCE P F sCCAHS
  36. LDB lineam In G. VE F F ad AD, AC
  37. FB quadratum ad= quadrarum AB, d
  38. VE FF linca, ad lineam BC, sC AF,
  39. cem AD, BC linea per hypochelim
  40. xquales, isicur ec FB quadracum est
  41. quadracu A B: guadFAFA IBICHE AF. FB
  42. demonstrandum.
  43. Tuisa AB bitariam in F, deMIETATUE ex F diameEeF F R, dequaliS QUAEEE ParEI
  44. Iinex BC: dico F, erminume F F, delignare punctum incerlectionis. Sic
  45. enim P punctum interlectionis indelcum _ per R dinmerer agaTUFF. Fi, CrIE B F, ve
  46. in pracedenei propolitione ocessamus, aequalis quareae parri linex BC; isitur per
  47. compolicionemcum PP Mlameter decur ae qualis quarrae parri linex BC, PacCE F.
  48. punctum esse incersectionis, Xc. Ouoderar exhibendum.
  49. LKOTOSIIIOBUZE
  50. IIdem policis ducacur quaeuis diameter tL L Pecans parabolas in H, L, M.
  51. Dico tt, tit. ttMlitend i concinua este analosia.
  52. Demon.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 435. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0492?run=74