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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. 53

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: 0.77.

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

The machine reads it as

  1. 11
  2. 21
  3. sit
  4. ed
  5. d
  6. s
  7. M.
  8. D7
  9. 51
  10. C AP, I.
  11. Analusis Infinitorum.
  12. aequatio generalis ad tansentem, fZ n t + fZ tk
  13. 2γyk n, e Facto, yy = f2, aC divitione in-
  14. AiTUTa, nF + F k = 2 K n.
  15. Inde, ex daris duarum quarum libet curvarum
  16. subeangentibus, Tubransens tertiae manifectatur.
  17. Corolt. P. NOTCTUEHanC, ut e Contimiles X-
  18. quationes ad intinitas curras determinari posle,
  19. Carumque omnium tansentes hac ratione una
  20. Overa detiniri. Verb: Crat: Sic, f ad triansu-
  21. LIM SeU, f= X crick = f= X, X (ICZ ad trian-
  22. suli complementum Peu 2 = 2Y = X, CTIE
  23. ∞ = = Z = X = 2 r, adcoque y ad circulum, leu
  24. 2y = Z YX = X X; CUjuS EKGO LUBTANSeNSF = n L P
  25. 2X- 27 (CD ZY X- X X
  26. r- X AE FUPFa.
  27. : N ∞- 4Y x
  28. Coroll. LI. Sic yy ad hyperbolam, (eu 77
  29. =rX + = x x. Porest sumi fad trianguluM, de
  30. Aeri f = X; unde, uti MOX, K = f=. X. e
  31. remanebit 2 = Y + x ad alind criangulum.
  32. unde n = 22 = g + x; 2de0guo hyperbola sut
  33. TaHSONS + = 29X + 2 X X
  34. 9 4 2 X
  35. Coroll. TFF. Ouin es hoc generaliter obtinet:
  36. datistribus curris, guarum applicatae sint in con-
  37. tinua proxortione, uE SIE f: J:: V: 2. erit ut sum-
  38. MTA (UIBEANSCNLIUM EXEFCMaEIIM, n + K, ad alteru-
  39. trius subtansentem k, ita subrangeus reliqua, n,
  40. ad lemissem subtangertis modix :F.
  41. C. D.

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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. 53. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0075?run=74