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- Screw_axis abstract "A screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs. Chasles' theorem shows that each Euclidean displacement in three-dimensional space has a screw axis, and the displacement can be decomposed into a rotation about and a slide along this screw axis.Plücker coordinates are used to locate a screw axis in space, and consist of a pair of three-dimensional vectors. The first vector identifies the direction of the axis, and the second locates its position. The special case when the first vector is zero is interpreted as a pure translation in the direction of the second vector. A screw axis is associated with each pair of vectors in the algebra of screws, also known as screw theory.The spatial movement of a body can be represented by a continuous set of displacements. Because each of these displacements has a screw axis, the movement has an associated ruled surface known as a screw surface. This surface is not the same as the axode, which is traced by the instantaneous screw axes of the movement of a body. The instantaneous screw axis, or 'instantaneous helical axis' (IHA), is the axis of the helicoidal field generated by the velocities of every point in a moving body.When a spatial displacement specializes to a planar displacement, the screw axis becomes the displacement pole, and the instantaneous screw axis becomes the velocity pole, or instantaneous center of rotation, also called an instant center. The term centro is also used for a velocity pole, and the locus of these points for a planar movement is called a centrode.".
- Screw_axis thumbnail Pure_screw.svg?width=300.
- Screw_axis wikiPageID "3656192".
- Screw_axis wikiPageLength "19408".
- Screw_axis wikiPageOutDegree "62".
- Screw_axis wikiPageRevisionID "666325006".
- Screw_axis wikiPageWikiLink Anatomical_terms_of_location.
- Screw_axis wikiPageWikiLink Angular_velocity.
- Screw_axis wikiPageWikiLink Biomechanics.
- Screw_axis wikiPageWikiLink Bullet.
- Screw_axis wikiPageWikiLink Cartesian_coordinate_system.
- Screw_axis wikiPageWikiLink Cartesian_space.
- Screw_axis wikiPageWikiLink Category:Crystallography.
- Screw_axis wikiPageWikiLink Category:Euclidean_geometry.
- Screw_axis wikiPageWikiLink Category:Kinematics.
- Screw_axis wikiPageWikiLink Category:Machines.
- Screw_axis wikiPageWikiLink Category:Rigid_bodies.
- Screw_axis wikiPageWikiLink Category:Symmetry.
- Screw_axis wikiPageWikiLink Centrode.
- Screw_axis wikiPageWikiLink Chasles_theorem_(kinematics).
- Screw_axis wikiPageWikiLink Conjugacy_class.
- Screw_axis wikiPageWikiLink Corkscrew_(roller_coaster_element).
- Screw_axis wikiPageWikiLink Crystallography.
- Screw_axis wikiPageWikiLink Dual_quaternion.
- Screw_axis wikiPageWikiLink Euclidean_group.
- Screw_axis wikiPageWikiLink Euclidean_motion.
- Screw_axis wikiPageWikiLink Eulers_rotation_theorem.
- Screw_axis wikiPageWikiLink Glide_reflection.
- Screw_axis wikiPageWikiLink Gun.
- Screw_axis wikiPageWikiLink Helix.
- Screw_axis wikiPageWikiLink Instant_centre_of_rotation.
- Screw_axis wikiPageWikiLink Instantaneous_center_of_rotation.
- Screw_axis wikiPageWikiLink Isometry_group.
- Screw_axis wikiPageWikiLink Joint.
- Screw_axis wikiPageWikiLink Joints.
- Screw_axis wikiPageWikiLink Line_group.
- Screw_axis wikiPageWikiLink Michel_Chasles.
- Screw_axis wikiPageWikiLink Mirror_image.
- Screw_axis wikiPageWikiLink Moment_of_inertia.
- Screw_axis wikiPageWikiLink Plane_(geometry).
- Screw_axis wikiPageWikiLink Plane_(mathematics).
- Screw_axis wikiPageWikiLink Plücker_coordinates.
- Screw_axis wikiPageWikiLink Quaternion.
- Screw_axis wikiPageWikiLink Quaternion_analysis.
- Screw_axis wikiPageWikiLink Quaternionic_analysis.
- Screw_axis wikiPageWikiLink Rifling.
- Screw_axis wikiPageWikiLink Right-hand_rule.
- Screw_axis wikiPageWikiLink Rigid_body.
- Screw_axis wikiPageWikiLink Roller_coaster_elements.
- Screw_axis wikiPageWikiLink Rotation.
- Screw_axis wikiPageWikiLink Rotation_formalisms_in_three_dimensions.
- Screw_axis wikiPageWikiLink Rotation_matrix.
- Screw_axis wikiPageWikiLink Rotational_symmetry.
- Screw_axis wikiPageWikiLink Screw_theory.
- Screw_axis wikiPageWikiLink Space_group.
- Screw_axis wikiPageWikiLink Spin_(physics).
- Screw_axis wikiPageWikiLink Symmetry.
- Screw_axis wikiPageWikiLink Translation_(geometry).
- Screw_axis wikiPageWikiLink Translational_symmetry.
- Screw_axis wikiPageWikiLink Twist_rate.
- Screw_axis wikiPageWikiLink Versor.
- Screw_axis wikiPageWikiLink File:Coxeter_helix.png.
- Screw_axis wikiPageWikiLink File:Pure_screw.svg.
- Screw_axis wikiPageWikiLink File:Te_chains.png.
- Screw_axis wikiPageWikiLinkText "Screw axis".
- Screw_axis wikiPageWikiLinkText "Screw axis#Screw axis of a spatial displacement".
- Screw_axis wikiPageWikiLinkText "Screw-periodic".
- Screw_axis wikiPageWikiLinkText "screw axes".
- Screw_axis wikiPageWikiLinkText "screw axis".
- Screw_axis wikiPageWikiLinkText "screw operation".
- Screw_axis wikiPageWikiLinkText "screw operations".
- Screw_axis wikiPageWikiLinkText "screw symmetry".
- Screw_axis hasPhotoCollection Screw_axis.
- Screw_axis subject Category:Crystallography.
- Screw_axis subject Category:Euclidean_geometry.
- Screw_axis subject Category:Kinematics.
- Screw_axis subject Category:Machines.
- Screw_axis subject Category:Rigid_bodies.
- Screw_axis subject Category:Symmetry.
- Screw_axis hypernym Line.
- Screw_axis type Biophysic.
- Screw_axis type Dynamic.
- Screw_axis type Machine.
- Screw_axis type Mechanic.
- Screw_axis type Object.
- Screw_axis type Physic.
- Screw_axis type Technique.
- Screw_axis comment "A screw axis (helical axis or twist axis) is a line that is simultaneously the axis of rotation and the line along which translation of a body occurs. Chasles' theorem shows that each Euclidean displacement in three-dimensional space has a screw axis, and the displacement can be decomposed into a rotation about and a slide along this screw axis.Plücker coordinates are used to locate a screw axis in space, and consist of a pair of three-dimensional vectors.".
- Screw_axis label "Screw axis".
- Screw_axis sameAs Eje_helicoidal.
- Screw_axis sameAs m.09smc7.
- Screw_axis sameAs Q7439094.
- Screw_axis sameAs Q7439094.
- Screw_axis wasDerivedFrom Screw_axis?oldid=666325006.
- Screw_axis depiction Pure_screw.svg.
- Screw_axis isPrimaryTopicOf Screw_axis.