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[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 531

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: 0.79.

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

The machine reads it as

  1. Mpto.
  2. resde.
  3. s
  4. CeTUT
  5. ilero
  6. Conii
  7. neam
  8. M8I.
  9. quod
  10. coni
  11. elion
  12. PFO.
  13. 1aH.
  14. vet.
  15. eto
  16. FB
  17. K,
  18. Gull
  19. UI
  20. tii.
  21. 61
  22. DM.
  23. 12.
  24. t
  25. 31
  26. HY P E RBO L A.
  27. Vocetur aurem lectio huiulmodihyperbola: cuus dametet caea L L3 d
  28. ordinacim ad illam applicacae, FIR, FD.
  29. PROPOS
  30. lnc ad verricem laperticies dux conca Guatust retlet se Puntert:
  31. Dhabeant aurem circulos aequales CDF, te aparallelos, quo-
  32. rum cenera IE, Is diamerri CF, L Hl: Pontaue L.DMomali ad diame-
  33. trum CF; ducatur (ccundum L. D, planum non per vetilcem quod se
  34. ctiones faciar in veraque luperticie, lineas DL. O, CMI.
  35. Dico veram que lectionem hyperbolam esse.
  36. Demonstratio.
  37. Brncta N, O, verriceslinelectio-
  38. LNAM DF O, GMN: Cumpris.
  39. que quibuluis distanciis NZ, OV,
  40. per V _ X ducaneur BR, ST
  41. aequidictances CF, FH: _ PEF
  42. BR, ST lineas, plana agaHEuE
  43. BOR, SPT, Parallela circulis
  44. CDF, FCFI, exhibencia in planis
  45. DEO, GMN communesincerle.
  46. ctiones XP, OV: quoniamigi-
  47. cur plana BOR, CDF aequidi-
  48. canc, communes incerlectiones
  49. OV, DL, in plano DLO a Pa
  50. rallela lune: _ quia DL ad C B
  51. diamerrum normalis est, recta quo-
  52. que OV ad B Rnormalis eR: igi-
  53. EUE vE NV O rectangulum b ad
  54. ad recrangulum NI. O, Ec qua-
  55. deacum VO ad quadracum I. D,
  56. typerbola est igirur sectio DI. O.
  57. Deinde quia circuli CDF
  58. FOTI xquidistane, c communes
  59. quoque incersectiones DL, MO
  60. parallelae lunc: _ cum L D norma-
  61. lis Sic ad diameerum CF3 recca
  62. quoque MC normalis est ad F II3
  63. inde ex ZP normalis ad ST:
  64. quadrarum d igitur Z P ad MC, quadratum CsE VENZ O recrangulum est adrC. sExtA
  65. crangulum NM O. quare ex sccrio CMWY hyperbola cA.
  66. Vocentur aurem hyperbolx OM PT, D L.O sectiones oppolcx: quarum com-
  67. munis diameter est cransuerla NVO.
  68. LRoPOstIIO MI.
  69. c16. 0nde.
  70. cime
  71. Irculorum aequalium AB C, D E. F in planis requidistantibus de-
  72. Alcripeorum centra coniungat recta GFI, Bitaltan a u 25 per
  73. Etaque AF, quae occurret CrFI in I, circumasaturhac eadem, manente
  74. punCto I, DEr CITCUIOTUM PCFIMCErOS ABC, DFF, doncc in cundem
  75. locum redierie a quo caepic circum duci: erecta deinde KB orchoOn
  76. ad
  77. quam polico plano AC FD signanre diamerros AC, D F parallelas, du-
  78. tsd
  79. 231511316151819
  80. i etti ut teatau tu at tia d

Cite

[Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli, fol. 531. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1815201908:0588?run=74