Editing Euler angles (section)

===Definitions===
[[Image:taitbrianangles.svg|thumb|right|325px|Tait–Bryan angles. ''z''-''x''′-''y''″ sequence (intrinsic rotations; ''N'' coincides with ''x''′)]]
The definitions and notations used for Tait–Bryan angles are similar to those described above for proper Euler angles ([[#Geometrical definition|geometrical definition]], [[#Definition by intrinsic rotations|intrinsic rotation definition]], [[#Definition by extrinsic rotations|extrinsic rotation definition]]). The only difference is that Tait–Bryan angles represent rotations about three distinct axes (e.g. ''x''-''y''-''z'', or ''x''-''y''′-''z''″), while proper Euler angles use the same axis for both the first and third elemental rotations (e.g., ''z''-''x''-''z'', or ''z''-''x''′-''z''″).

This implies a different definition for the [[line of nodes]] in the geometrical construction. In the proper Euler angles case it was defined as the intersection between two homologous Cartesian planes (parallel when Euler angles are zero; e.g. ''xy'' and ''XY''). In the Tait–Bryan angles case, it is defined as the intersection of two non-homologous planes (perpendicular when Euler angles are zero; e.g. ''xy'' and ''YZ'').