rotation of coordinate axes

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• Rotation (mathematics) — Rotation of an object in two dimensions around a point O. In geometry and linear algebra, a rotation is a transformation in a plane or in space that describes the motion of a rigid body around a fixed point. A rotation is different from a… …   Wikipedia

• Rotation matrix — In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy Cartesian plane counterclockwise through an angle θ about the origin of the Cartesian… …   Wikipedia

• Rotation representation (mathematics) — In geometry a rotation representation expresses the orientation of an object (or coordinate frame) relative to a coordinate reference frame. This concept extends to classical mechanics where rotational (or angular) kinematics is the science of… …   Wikipedia

• Rotation around a fixed axis — Rotational motion can occur around more than one axis at once, and can involve phenomena such as wobbling and precession. Rotation around a fixed axis is a special case of rotational motion, which does not involve those phenomena. The kinematics… …   Wikipedia

• Rotation of axes — is a form of Euclidean transformation in which the entire xy coordinate system is rotated in the counter clockwise direction with respect to the origin (0, 0) through a scalar quantity denoted by θ.With the exception of the degenerate cases, if a …   Wikipedia

• Coordinate-measuring machine — A coordinate measuring machine (CMM) is a device for measuring the physical geometrical characteristics of an object. This machine may be manually controlled by an operator or it may be computer controlled. Measurements are defined by a probe… …   Wikipedia

• Rotation group — This article is about rotations in three dimensional Euclidean space. For rotations in four dimensional Euclidean space, see SO(4). For rotations in higher dimensions, see orthogonal group. In mechanics and geometry, the rotation group is the… …   Wikipedia

• rotation of axes — /ak seez/, Math. a process of replacing the axes in a Cartesian coordinate system with a new set of axes making a specified angle with and having the same origin as the original axes. * * * …   Universalium

• rotation of axes — /ak seez/, Math. a process of replacing the axes in a Cartesian coordinate system with a new set of axes making a specified angle with and having the same origin as the original axes …   Useful english dictionary

• Cartesian coordinate system — Illustration of a Cartesian coordinate plane. Four points are marked and labeled with their coordinates: (2, 3) in green, (−3, 1) in red, (−1.5, −2.5) in blue, and the origin (0, 0) in purple. A Cartesian coordinate system specifies each point… …   Wikipedia

• Quaternions and spatial rotation — Unit quaternions provide a convenient mathematical notation for representing orientations and rotations of objects in three dimensions. Compared to Euler angles they are simpler to compose and avoid the problem of gimbal lock. Compared to… …   Wikipedia