Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 661

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: 0.80.

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

The machine reads it as

  1. A
  2. les po.
  3. Ho
  4. F6
  5. b
  6. HPI
  7. dASI.
  8. sulum
  9. ett
  10. intet
  11. pleos
  12. Cd
  13. ites
  14. Iela
  15. irriei
  16. 1a
  17. IR
  18. alia
  19. siae
  20. a-
  21. is
  22. HIY P ERBOL A
  23. t
  24. superane quadraca M CF id eA VF, rC.
  25. cranoulis IIM Y. SCd F L quadraca quo.
  26. que lIpCrANE quadraca D F reccangulo
  27. E D CF bis TIIMIPEOABBA CII GUAdEAEOF DI
  28. ceceanoula igieur FD E bis sumpea vna
  29. cum quadeaco F D, aqualia sunE RCCTaN-
  30. SuliS AIMY: Turlum si FD G FeCtan-
  31. sulis aequalia Ranequadrata, b producene
  32. illa patabolam, e A parabole illi adda-
  33. CiE E D quadracum; producerc illud vna
  34. cum parabola, Parabolam; isicur et
  35. AIM X rectangulis E xqualia Aanc qua-
  36. deaca, produceneilla parabolam similicer
  37. MP O rectangulis aequalia tianc quadea-
  38. ca, producene d illa lixperbolam; qua
  39. addica parabola, quam AIMY produ-
  40. cic: generabie, c hyperbolam; igieur R
  41. FTP Y rectangulis, (que aequalia lunE
  42. TIMY, MP O) aequalia hanc quadraca,
  43. producent illa quoquehrperbolam: cui
  44. li addancur quadraca PCi, Producencilla
  45. simul Ecum hrperbola, hyperbolam. (ed
  46. TIP Y rectagulis vna cum quadracis PO,
  47. aequalia sinc quadraca HO, id cA F F,
  48. quadeacaigicur F. Fi lyperbolam produ-
  49. cunc cujus ordinatim ad axem posiex
  50. sune P. F, id est C. H: hyperbola igicur est BH, Y Y.
  51. PROPOSITIO CCXLVII
  52. Eperbolam AB C cuus axis AD communis est paraa ca Gua
  53. Constructio es demonstrario.
  54. deacis Et G; M G: ad eoque E F quadraca
  55. Lorca cA, redutere ad patabolam.
  56. aco da atc Aaspeloola Occuaci
  57. lineis BR; Aanc F B lineis aequales AF. dico
  58. AFF esse parabolam que produxic hyperbolam
  59. ABC: Ponacur AC lacus cransuerlum hyper
  60. bolx; quoniam isitur AB C hyperbola ONtA Cx
  61. Parabola communem cum illa habetaxem, re.
  62. ctansula CB A aequalia sune quadraris BB, id
  63. eA perconstruct. quadracis AFi, id est quadraris
  64. AP, F. F: ablacis isicur communibus quadracis
  65. A F, manenc C A F rectangula aequalia quadra-
  66. eiS EF: vnde vE AE ad AF, BC F R quadra-
  67. cum ad quadrarum PB: parabola est igirur AFF,
  68. ex eadem ex qua orca est lyperbola ABC.
  69. in
  70. . ha
  71. tn
  72. o
  73. Scholion.

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 661. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0718?run=74