Leibniz Legible

Machine transcription of the Leibniz Nachlass

Search the Nachlass

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 625

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: 0.71.

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

The machine reads it as

  1. Yum
  2. H.
  3. n
  4. bes
  5. Opot
  6. dut
  7. 100
  8. bolB
  9. Ieum
  10. bert
  11. IIIIII
  12. TLX, RE,K B OIL, A.
  13. PROPOSTTIOICLZXX
  14. Aeas auas tryperbras clettae Mae ullinis axes habenres, reducea
  15. Constructio es demonstratio.
  16. TABEanE ABC, P F Chyperbolx in-
  17. aequales aXes DB, HF; oporrec ad
  18. axium AICCrUErUM, puca ITF appliCare
  19. hyperbolam similem A B C. ponaneur in
  20. ABC hyperbola ordinacim linex OT.
  21. M V, A X1 _ DB, DF, DV, XC. lincis,
  22. proporrionales RanE EI F, IIR, IIS, TIZ:
  23. ponancurj: ordinacim in hyperbola F. F Cm
  24. LinCX NR, L S, F.Z. deinde AANE BR,
  25. 5, IL. linex proportionales OT,MV,
  26. A Z: quoniam isicur HZ linca in F, R, S
  27. diuita cAveD X in B, T, V. X. Pacer recta-
  28. sulis DTB, DVB, ec. proportionalia
  29. esse rectangula HRF, TI SF, Xc. scd
  30. DTB, D V B rectangulis proporcionalia
  31. syncquadeaca OF, A V, AX, id est per
  32. cottructionem quadraca PR, 5, 1Z, qua-
  33. Srata, isicur R P, O. 55 IL proportionalia
  34. sunc rectangulis DT B, DD B, ac. id est
  35. HRF, H SF. XC. quare puncta L. O, P ad hyperbolam lune cuius axis HF. Guu
  36. aurem ID P hyperbola similis sic AOB: sc oRendo inrellisaneur iungi punaa
  37. OB, AB. MO, icem D F, OF. V P. patet ex constructione triandulaO T B, H VB,
  38. icem OB similia esecriaeulis P R F. OSF, O PF quia exiildem racionestra
  39. benccompolicas: quarc clim operacio illa in veraque hyperbola sinc rermino coricis
  40. nuari pollic, vehoura omhestisperbola ABC inscripex, similes inc sguris inscri-
  41. pris hyperbolae sF. R, pacec ex Aectimede AB Ct F. K hyperbolas esse Limmilos. Ecci.
  42. mysigitur, quod exat poltulacum.
  43. est 1135.2tBB LMM sit
  44. sio Et e CF sese S3O 1 11MIBIMS. ..
  45. molugi Ro 1OD. F R O, A 55)
  46. EIC
  47. SXI
  48. erbeup OC) 3uit et C) arerbeur ba YG) reibeWD Sit 1O
  49. 13 10l1esi
  50. IA cartonci
  51. eter an B ls
  52. Acis alymprocis, exhibere typerbon an usiviBu Ou it
  53. lam, quae perdarum incra alym peo-reiuo. A S us MO3 LoNiEN
  54. eospunctum eran leat. . I~ amasgnimo eligurm
  55. et ermenLM
  56. loctroqui
  57. nC ma Constructio es demonstratio. eie
  58. 35C) _ CMEZG ZVIGL ABA
  59. dAc sine asy pcort AB, BC, d Irerq i1I2S
  60. punctum D. oporret exhibere hyperbolam,
  61. quae per dacum punctum D cranscac, PonaturDer.
  62. Id linca AC, perringens verimque ad alympro
  63. e
  64. stan
  65. (1r: 11etES
  66. il etst s er FeI
  67. c05, aquae in 1 biffecta scs illique aquidistaris
  68. DORACHT, CH: e CD quadrato, aequalia hanc
  69. rectangula, CFi FB, C F. H; erunc F, D, F b pua
  70. Ae
  71. 311
  72. etaa thxperbolam cujus ovprocisune AB, BC V Mna E c carvp cusloc.
  73. 2. 0∞B c_SLABB ereL.
  74. docis ipicur alymptoris, ecc. yoderac faciene B. upoup elodrgri it
  75. dumruhisin t 3123 bat 1.3. .locl3qe iuisi ∞Ch. D el A 3locl12y, 10401t. L1d
  76. 1III
  77. 11211
  78. NEII
  79. id13
  80. at gloctioqua
  81. S. A3 MIOTiCI
  82. 113
  83. EIX G. EHLW e DEt
  84. id l
  85. RG: CCNTICE
  86. F3
  87. +. 8.15.
  88. elic
  89. KKK 3
  90. R
  91. eu su sutes et ptestets ta qu u stett et et e utt set es aete u ust a i s t tie a u

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 625. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0682?run=74