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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 645

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: 0.74.

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

The machine reads it as

  1. E, qua
  2. to lare
  3. i
  4. etane
  5. hoc d
  6. ecraio
  7. Sdiame
  8. Quada
  9. Et O1.
  10. linee
  11. equal
  12. rectu
  13. iXq
  14. 0, H0
  15. qu
  16. a
  17. lepo
  18. CBd
  19. recto
  20. ralt
  21. abole
  22. CDi
  23. que
  24. cuius
  25. did.
  26. Bit
  27. DC
  28. CnTCT
  29. CD.
  30. hoc
  31. 1M
  32. FIXIPIERIB OL A.
  33. hOCelt quadrato C F. ergo cum sc rectangulum F C A ad F C A, rectangulum ve
  34. lacus eius cransuerlum. Ouod fuit demonstrandum.
  35. CODOSI
  36. F 10
  37. CCXVIII
  38. parabola ABC quam seceF quaedam E F: ductisque OK quX X
  39. a quidistene diamerro BD, hacvr CHI ad OFI, ita C. HC quadrarum
  40. a2d quadracum CH.
  41. Dico K K esse ad candem hyperbolam cuius lacus cranluerlum BF.
  42. 10
  43. 21 5
  44. Demonstralio.
  45. VCaNEUE FTL que aequidiAenE BF, _ F N quae aequidistec B D. erit itaque
  46. IETTML AI TTMT rectangulum, 2velinea BM ad BMI lincam, elt aurem lINCE parabola
  47. BNI. RGuaS CFI: Pgicurve CA. OII ad GFI lincam, ita est rectangulum IIML.
  48. ad HL MEL. hoDeA rectangulum NFTM ad NTTM, hoC eA F CB ad F GB H-
  49. ctangulu. led ve GHI ad CIT lincam; ica ett ex conttrlctone qualeun
  50. ad CK. Quadracum; igitur ve est P C B, ad F C B rectangulum, ita est quaatacum
  51. CrR,ad CK quadracm. Ludenea BKR en pccooa Carus Lacus transuersum
  52. CA, BF. ex chuius. Ouda l dehonstrandum.
  53. X dittur nimit id B R O B, O5IF1O CCALA
  54. natim BC, Ponac GaL
  55. Lia GuadraTA CF.
  56. anDiCO AE P ose ad cardem hyperbolam.
  57. e s. Sd. B MIEOMAS
  58. Bratio.
  59. lac rectaneulum D CF
  60. equale quadrara C B.
  61. sicur quoniam quadcacum
  62. d CB quadratum,
  63. eam obcineerarionem, qu’a
  64. blinea AC ad RC, estque
  65. AC ad AC, ve CD ad
  66. CD, igIEUE CF aqualeS
  67. Cuncincer (C, _ F F puncca
  68. in dircccum: polta deinde
  69. iit
  70. eterg
  71. recta CC qua aequidistee il Et
  72. 1
  73. SE a
  74. Et He
  75. 1
  76. AD, erH CF aequalesrectis DC, ac proinde rectangulum D C C, aequale quadra-
  77. eis CD, CB: id est ex lypochesi quadracis CF. ergO vtrecta MMIM DC C ad
  78. Ata patabOIa ABB, cuius axis AC e ad cundem consticurx ordi-
  79. 1.
  80. re
  81. nDen
  82. e quadear hatqua ud v.
  83. 141
  84. 1312312
  85. 260a
  86. DC Cita quadrarum CF. ad C P, quadracum. vnde ligueo c A F F CNC ad hy perbola crg2. Bu-
  87. cuiusaris AC. ad quem ordinacim pouta lunc C. F. Duodtuir demonttrandum.
  88. tu
  89. RO.
  90. dnnm
  91. 1 t 2 e as

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 645. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0702?run=74