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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 134

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: 0.85.

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The machine reads it as

  1. 134
  2. 4. 20
  3. Analysis Infinitorum.
  4. seu qremanebit spatium AOC=
  5. CAP. II.
  6. n
  7. 9, X9112-
  8. le luo complemento. Si p =g, exir altcerutrum
  9. 2 a seu Cemicirculi duplum.
  10. Coroll. V L. R eperiris (ymtrolis 5. 62. C. 2, aRun-
  11. taque inibiceadita lispothemi F. eVIC. E ABCD
  12. sic quadeans circuli; aC KC F curram tangat, crit.
  13. rh
  14. juXta 5. 63. Cap. I, X M SCuF = d, quare d: r: 3
  15. h: F; ec juxta lemma 46, (quia ratio d adrDce-
  16. PetUO IAHeE cadeM) d: r:: ha: F a; Ced cita-
  17. 295, 62. Ba = _y, e 14 = yc, quare d: r.
  18. et Y: Y C; verum ex proprietate semicirculi
  19. B O: B N:: C B: B R PCUr: V:: H: I; WdC et V = rI:
  20. adeoque crit d: r:: ri: ye; hoc est radiusr ad
  21. quadeantem peripheria d, uc spatinm A FDO
  22. seu omnia y e ad quadratum in A ∞ (Cu OMH. rI
  23. rr. Secundum I. II. Fuclid.
  24. Corolt. VYT. R CTUIMEa CHEVa 5. 30. Cap. 1
  25. FIc. XFI. CxteriIque ut inibi suppolicis
  26. nimieum re = X P = yP PEO aequatione CUEVX
  27. AF F, Factis Scilicet gO: X, OD: y: tum de
  28. = Y5 = 1Z, DEO aeGUatIONC CAIEVX ANC.
  29. eujus applicata O N: 2, Crit, JuXIL8. 30. Cap. 1.
  30. Sysc p.
  31. RC TCUF = r5 - p = 1 = 5Z; Unde COgNIta FIPI
  32. Fa AD FO Peu omnibUS Y C COEIOLCCTUP FIBUT
  33. AOG seu omnia z e.
  34. Sic enim primo s P +I; erie xquatio inter
  35. utrius.

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[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 134. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0156?run=74