Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 493

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: 0.78.

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

The machine reads it as

  1. aeum
  2. 2 3
  3. BD,
  4. 13P2.
  5. FE
  6. 6ad
  7. 10.
  8. Piid
  9. 9u2.
  10. 11.
  11. CAC
  12. 0
  13. 2d
  14. i
  15. b
  16. cut
  17. P AR A B,O L A.
  18. Demonstratio.
  19. Vn enim anguli A D F PONanEuE
  20. recti, d D Blinca normalis ad AB,
  21. rectansulis AB F. a aequalia sune qua-
  22. deaca DB, id est F F: SCd ABF rectan-
  23. sula illâ incer le leruane proporrionem,
  24. quam linex B Fsigicur ve BE ad BF, AIC
  25. F F quadracum ad quadratum F F. unde
  26. BFF sunc b ad parabolam cuiusc lacus
  27. rectum AB. Quoderae demonstradum:
  28. PROPOSITIO CCXCVI
  29. GECCNE A B C criangulum, reCtX quorcunque DF, FG, FI, RL: 1
  30. Ldceri, B C, Parallela; hianc aurem continux proporrionales BC, KL,
  31. AP: irem BC, HI, HIO: irem BC, FG, F N: denique BC, DE, DM.
  32. Dicopuncta A, HI, NNSO, P, Cs csead parabolam
  33. 1e 2 17C BDpBCA
  34. maheux IL m Demonstratio.
  35. 1d. 1..
  36. Et sr1.
  37. Voniam. B C, linea communis prima est, se-
  38. Leiebus concinuarum B C, RF, RP: BC, TTI.
  39. FTO: BC, E CFN, _C. rectangula BCRP, BC
  40. HO, BCEN, BCDM illam Corciuncur rario-
  41. nem quam habenclincx KP, H O, FN; DM. igi.
  42. CUF _ quadEACA RL, TTI, FC, D F eandem quo-
  43. que lcruant proporrionem: sed rek I quadracum.
  44. ad quadrarum HIB, sic K A quadrarum est ad qua-
  45. dracum HA, e re HII quadracum ad quadeacum
  46. FG, AICH A quadracum est ad quadracum F A,
  47. REC. igitUT_E quadrATA AK; AII, AF, AD IIam
  48. habe racionem quam lincx HIP, FIO, F N, DM. PutS A, M, N, O, P ad inr.
  49. sparabolam (unC.
  50. PROPOSILtO CCXEVI
  51. Sto ABC FHaH-
  52. Lsguli lacus BC VE
  53. cunque diuilum in
  54. Dunctis D, E, F, C, iun-
  55. cisq AD, AC, AF
  56. AC, diuidaeur lacus
  57. AB in purictis LL, L, R,
  58. L sicur BC est dini-
  59. Cum inD, P., dc. de-
  60. miccancur aurem ex HI
  61. II, C recta AIM, IN.
  62. KO, L. P parallelx la-
  63. ceri BC: _ HIM qui
  64. deM OCCUFFAE A D in
  65. MI; IN veroip(I AE in
  66. N: dein REO, reCtA F A in O, e L P, ipS AC in P.
  67. Dico A, M, N, O, P, C esse ad parabolam.
  68. 299
  69. 51
  70. cii
  71. P lo5 et
  72. Demon
  73. ii est e tt tt e et t tat e e e d t A tt e t pet

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 493. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0550?run=74