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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 567

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: 0.72.

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

The machine reads it as

  1. lum
  2. C6
  3. eo
  4. (ue
  5. CM
  6. ria.
  7. _
  8. XB
  9. SN.
  10. e
  11. vid
  12. ales,
  13. (uH6
  14. HY P E R BOL
  15. PROPOSTEIO EXVI
  16. Nomnihyperbola diamiecet pean suet (a eiulque comuesad et rectum
  17. Lfsurx lacus lunc in concinuranalosia. L
  18. AMME 15LO
  19. Ai Demonstratio. WebeD CLT
  20. M 23ETLBLIC
  21. CIchyperbolae AB Cdiamotor eran (. iI 1
  22. verta, DB; eiusque ConTuTAEA E F, _ B L CLLIII
  23. lacus rectum B G: FOPOEEOE deMONAEAFO . INL SMI
  24. eria hec ere in continua proporciono a(nol se
  25. sumpro in asimpeoco NL quonis puncto
  26. F ducaneur L A, L M ordinacim ad dia
  27. InCETOS DB, E F; producta deinde I. A,
  28. occurrat elim recta D, G, in K. Fect angBlEIDELII
  29. isicur DIB ad F, O F rectangulum cturso J
  30. ve DB a quadearum ad quadratum F Fs
  31. scd F OF rectangulo b aequale est qua3209)
  32. deacum A13 Id est rectanouluti BPK ScL este
  33. (quia rum BC lacus rectum est, cres B I 13L ∞11)
  34. TA, TK cproporcionaleS LUINE) isiEUF _
  35. DIB ad BIK rectangulum estu (DEDB
  36. quadracum ad qiradeacum F F: est aurem
  37. ve DTB rectursulum ad rectangulum )
  38. BIK (ic DI lines a 2d lincam, LR, id
  39. est D BadB C isicur ve quadratum DB
  40. ad quadracum, F P, Ac D B linca ad linrr uc
  41. neam BC: Sed racio quadrari DB ad
  42. F F duplicata est racionis linex DB ad
  43. s
  44. 11
  45. F. F; isicur racio linex DB ad B C, du-. MAn IICSI
  46. plicaca estrationis D B linex ad lineam
  47. P. P: Cuncicaque D E, F F, BC conrinux proporcionales. Ouod erat demonstran.
  48. dum.
  49. ciuteuliup seolssemogor. Corollarium. _en ciconi
  50. MBLB 2BA
  51. Tine maniteste colligirur, l erienur lacus rectum ad pundtum diametri RF, que
  52. estconinoaca diamerri DB, quod exsurgene linca quacuor in concinua ana-
  53. logia, sciliceclacus rectum ad punctum F crectum, cum reliquiscribus, de quibus
  54. pralenci proxoscionemenrio facta cA,
  55. 1s2
  56. EL ce il cm. 2
  57. AZ oiragnimom a B R O P O S.P
  58. 11131, 11
  59. HO. LXVII.
  60. Rigancur a quonis puncto in alymproco alsumpco, ordinarim ad
  61. diamerrosconiugatas. ot. I b∞ et
  62. i
  63. Dico ordinatim policarum quadraca eam rarionem continere, quae re-
  64. peticurimcer lacus rectum e crarsuersum diamerrorum coniugacarum.
  65. 2 (515
  66. aid 8
  68. tt
  69. sii uelo
  70. 1
  71. dCCCC LSa. L. Demon
  72. hn.
  73. CEXcOm
  74. uot
  75. 1
  76. 11III
  77. 111I

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 567. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0624?run=74