Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Euler_angles> ?p ?o }
- Euler_angles abstract "The Euler angles are three angles introduced by Leonhard Euler to describe the orientation of a rigid body. To describe such an orientation in 3-dimensional Euclidean space three parameters are required. They can be given in several ways, Euler angles being one of them; see charts on SO(3) for others. Euler angles are also used to describe the orientation of a frame of reference (typically, a coordinate system or basis) relative to another. They are typically denoted as α, β, γ, or φ, θ, ψ.Euler angles represent a sequence of three elemental rotations, i.e. rotations about the axes of a coordinate system. For instance, a first rotation about z by an angle α, a second rotation about x by an angle β, and a last rotation again about z, by an angle γ. These rotations start from a known standard orientation. In physics, this standard initial orientation is typically represented by a motionless (fixed, global, or world) coordinate system; in linear algebra, by a standard basis.Any orientation can be achieved by composing three elemental rotations. The elemental rotations can either occur about the axes of the fixed coordinate system (extrinsic rotations) or about the axes of a rotating coordinate system, which is initially aligned with the fixed one, and modifies its orientation after each elemental rotation (intrinsic rotations). The rotating coordinate system may be imagined to be rigidly attached to a rigid body. In this case, it is sometimes called a local coordinate system. Without considering the possibility of using two different conventions for the definition of the rotation axes (intrinsic or extrinsic), there exist twelve possible sequences of rotation axes, divided in two groups: Proper Euler angles (z-x-z, x-y-x, y-z-y, z-y-z, x-z-x, y-x-y) Tait–Bryan angles (x-y-z, y-z-x, z-x-y, x-z-y, z-y-x, y-x-z). Tait–Bryan angles are also called Cardan angles; nautical angles; heading, elevation, and bank; or yaw, pitch, and roll. Sometimes, both kinds of sequences are called \"Euler angles\". In that case, the sequences of the first group are called proper or classic Euler angles.".
- Euler_angles thumbnail Eulerangles.svg?width=300.
- Euler_angles wikiPageExternalLink orilib.
- Euler_angles wikiPageExternalLink EulerAngles.html..
- Euler_angles wikiPageExternalLink eulermatrix.html.
- Euler_angles wikiPageExternalLink id584911325.
- Euler_angles wikiPageID "411492".
- Euler_angles wikiPageLength "44269".
- Euler_angles wikiPageOutDegree "146".
- Euler_angles wikiPageRevisionID "706966354".
- Euler_angles wikiPageWikiLink 3D_projection.
- Euler_angles wikiPageWikiLink Acceleration.
- Euler_angles wikiPageWikiLink Accelerometer.
- Euler_angles wikiPageWikiLink Active_and_passive_transformation.
- Euler_angles wikiPageWikiLink Addison-Wesley.
- Euler_angles wikiPageWikiLink Aerospace_engineering.
- Euler_angles wikiPageWikiLink Aircraft_principal_axes.
- Euler_angles wikiPageWikiLink Alpha.
- Euler_angles wikiPageWikiLink Angle_of_rotation.
- Euler_angles wikiPageWikiLink Angular_acceleration.
- Euler_angles wikiPageWikiLink Angular_momentum.
- Euler_angles wikiPageWikiLink Angular_velocity.
- Euler_angles wikiPageWikiLink Atan2.
- Euler_angles wikiPageWikiLink Atlas_(topology).
- Euler_angles wikiPageWikiLink Axes_conventions.
- Euler_angles wikiPageWikiLink Axis–angle_representation.
- Euler_angles wikiPageWikiLink Banked_turn.
- Euler_angles wikiPageWikiLink Basis_(linear_algebra).
- Euler_angles wikiPageWikiLink Beta.
- Euler_angles wikiPageWikiLink Category:Analytic_geometry.
- Euler_angles wikiPageWikiLink Category:Angle.
- Euler_angles wikiPageWikiLink Category:Euclidean_symmetries.
- Euler_angles wikiPageWikiLink Category:Rotation_in_three_dimensions.
- Euler_angles wikiPageWikiLink Charts_on_SO(3).
- Euler_angles wikiPageWikiLink Conversion_between_quaternions_and_Euler_angles.
- Euler_angles wikiPageWikiLink Coordinate_system.
- Euler_angles wikiPageWikiLink Course_(navigation).
- Euler_angles wikiPageWikiLink Cross_product.
- Euler_angles wikiPageWikiLink Davenport_chained_rotations.
- Euler_angles wikiPageWikiLink Dimension.
- Euler_angles wikiPageWikiLink Electronic_stability_control.
- Euler_angles wikiPageWikiLink Elevation_(ballistics).
- Euler_angles wikiPageWikiLink Embedding.
- Euler_angles wikiPageWikiLink Euclidean_space.
- Euler_angles wikiPageWikiLink Euler_angles.
- Euler_angles wikiPageWikiLink Eulers_equations_(rigid_body_dynamics).
- Euler_angles wikiPageWikiLink Eulers_rotation_theorem.
- Euler_angles wikiPageWikiLink Euler–Rodrigues_formula.
- Euler_angles wikiPageWikiLink Frame_of_reference.
- Euler_angles wikiPageWikiLink Gamma.
- Euler_angles wikiPageWikiLink Geometric_algebra.
- Euler_angles wikiPageWikiLink Geometry.
- Euler_angles wikiPageWikiLink George_H._Bryan.
- Euler_angles wikiPageWikiLink Gerolamo_Cardano.
- Euler_angles wikiPageWikiLink Gimbal.
- Euler_angles wikiPageWikiLink Gimbal_lock.
- Euler_angles wikiPageWikiLink Haar_measure.
- Euler_angles wikiPageWikiLink Industrial_robot.
- Euler_angles wikiPageWikiLink Inverse_trigonometric_functions.
- Euler_angles wikiPageWikiLink John_Wiley_&_Sons.
- Euler_angles wikiPageWikiLink Kaleidoscope.
- Euler_angles wikiPageWikiLink Kinetic_energy.
- Euler_angles wikiPageWikiLink Leonhard_Euler.
- Euler_angles wikiPageWikiLink Macmillan_Publishers.
- Euler_angles wikiPageWikiLink Mathematics.
- Euler_angles wikiPageWikiLink Matrix_decomposition.
- Euler_angles wikiPageWikiLink Mechanical_engineering.
- Euler_angles wikiPageWikiLink Modular_arithmetic.
- Euler_angles wikiPageWikiLink Nutation.
- Euler_angles wikiPageWikiLink Orbital_node.
- Euler_angles wikiPageWikiLink Orientation_(geometry).
- Euler_angles wikiPageWikiLink Orientation_(vector_space).
- Euler_angles wikiPageWikiLink Orthogonal_group.
- Euler_angles wikiPageWikiLink Peter_Tait_(physicist).
- Euler_angles wikiPageWikiLink Phi.
- Euler_angles wikiPageWikiLink Physics.
- Euler_angles wikiPageWikiLink Pitching_moment.
- Euler_angles wikiPageWikiLink Precession.
- Euler_angles wikiPageWikiLink Psi_(letter).
- Euler_angles wikiPageWikiLink Quaternion.
- Euler_angles wikiPageWikiLink Quaternions_and_spatial_rotation.
- Euler_angles wikiPageWikiLink Quotient_space_(topology).
- Euler_angles wikiPageWikiLink Radian.
- Euler_angles wikiPageWikiLink Real_projective_space.
- Euler_angles wikiPageWikiLink Right-hand_rule.
- Euler_angles wikiPageWikiLink Rigid_body.
- Euler_angles wikiPageWikiLink Robotic_arm.
- Euler_angles wikiPageWikiLink Rotation.
- Euler_angles wikiPageWikiLink Rotation_(mathematics).
- Euler_angles wikiPageWikiLink Rotation_formalisms_in_three_dimensions.
- Euler_angles wikiPageWikiLink Rotation_group_SO(3).
- Euler_angles wikiPageWikiLink Rotation_matrix.
- Euler_angles wikiPageWikiLink Rotations_in_4-dimensional_Euclidean_space.
- Euler_angles wikiPageWikiLink Row_and_column_vectors.
- Euler_angles wikiPageWikiLink Slerp.
- Euler_angles wikiPageWikiLink Special_unitary_group.
- Euler_angles wikiPageWikiLink Spherical_coordinate_system.
- Euler_angles wikiPageWikiLink Spin_(physics).
- Euler_angles wikiPageWikiLink Spin_group.
- Euler_angles wikiPageWikiLink Spirit_level.