Euler angle

Definitions

Any one of three angles which together describe the orientation of a rigid body with respect to a fixed three-dimensional coordinate system, according to a formalism introduced by Leonhard Euler.

Equivalents

Examples

“Euler angles can also represent⟳ the orientation of a mobile frame of reference in physics or the orientation of a basis in 3-dimensional linear algebra.”

“The use⟳ of Euler angles or Quaternions to represent⟳ entity (i.e., vehicle) orientation in the draft military standard for Distributed Interactive Simulation has drawn fierce debate⟳.”

“We have⟳ not drawn a picture, since Euler angle pictures of three-dimensional rotations are notoriously difficult to comprehend; what is very useful is for the reader to make⟳ a set⟳ of wire axes with labels to help⟳ follow⟳ the sequence of rotations.”

“Why do we need⟳ to know⟳ what Euler angles are? Because we use⟳ them. Many commercial 3D computer animation packages that are available today use⟳ Euler angles to describe⟳ and change⟳ orientations of objects.”

CEFR level