Search the Nachlass

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 60

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: 0.82.

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

The machine reads it as

  1. 60
  2. Analysis Infinitorum.
  3. C AP. I.
  4. si AB auE AD actumta FUerIE = Z f, erit
  5. ixtam relpiciens applicata BC aUE DF. = ZZ8.
  6. ex quibus hoc pacto currae aquatio Gieomctrica
  7. inmotescit: sIE: AD = Z f =IX, CxIE, 2 = 2
  8. cum _ AD =Z Z8 =y, CxIE ZZ = q
  9. X X
  10. 55
  11. _ Sy = x x. Unde patet curram A6 Q eNe
  12. parabolam, cujus latus rectum+.
  13. Subtansens aurem hujus seu t CA CX 5 35.
  14. 20r e loco ec y raloresreponendo= 27.
  15. Ne aurem, uc in s proxime praepresso, applicatarum
  16. abscistarumque relaciones numeris continuo exprimere
  17. necesse habeamus, in sequentibus numerorum loco (o-
  18. Jam Z adhibebimus; iplaque quossibet cum parcium ali-
  19. quorarum, cum mulciplicium ipsius AF exponentes nu-
  20. meros signiticabimus, cum ee currx, quae peae manibus
  21. est, subcangenrem +, uri Expius, dicemus.
  22. 42. Sic, Aante 5. 4T. YIYPOthCC, A D
  23. Z f X dC DF = E = γ, CrIE Z = = 5
  24. _ Xy = fG; unde curVA AF Q es hyperbO-
  25. e
  26. la aC fubtansens + = - X.
  27. 43. Manentibus iildem, ac AD = Z f = X.
  28. SItDP =y =1Z58 226S, seu, 2f8 Z288
  29. 7yy; unde in ultima hac aequatione posito
  30. lOcOZ, exit X g = X x
  31. Em; ec Facto 5
  32. ex
  33. 5f66
  34. gy xquatio ad EIlip.
  35. f.ad circulum f∞ = X X F, y 93
  36. Cub.

Cite

[Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductae] Bernhardi Nieuwentiit Analysis Infinitorum, Seu Curvilineorum Proprietates Ex Polygonorum Natura Deductæ, fol. 60. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/1032977698:0082?run=74