geometry, a plane of rotation is an abstract object used to describe or visualize rotations in space. The main use for planes of rotation is in describing...

Rotation or rotational/rotary motion is the circular movement of an object around a central line, known as an axis of rotation. A plane figure can rotate...

plane, in the plane of the bivector. All other bivectors generate double rotations, with the two angles of the rotation equalling the magnitudes of the...

For a particular rotation: The axis of rotation is a line of its fixed points. They exist only in n = 3. The plane of rotation is a plane that is invariant...

}}/\omega } is normal to the instantaneous plane of rotation or angular displacement. There are two types of angular velocity: Orbital angular velocity...

specific rotation ([α]) is a property of a chiral chemical compound.: 244  It is defined as the change in orientation of monochromatic plane-polarized...

simple rotations and double rotations. A simple rotation R about a rotation centre O leaves an entire plane A through O (axis-plane) fixed. Every plane B that...

Optical rotation, also known as polarization rotation or circular birefringence, is the rotation of the orientation of the plane of polarization about...

Rotation around a fixed axis or axial rotation is a special case of rotational motion around an axis of rotation fixed, stationary, or static in three-dimensional...

xy plane counterclockwise through an angle θ about the origin of a two-dimensional Cartesian coordinate system. To perform the rotation on a plane point...

plane followed by S 90° in the y-z plane is not the same as S followed by R), making the 3D rotation group a nonabelian group. Moreover, the rotation...

invariant plane, at a rate independent of the first invariant plane's rotation: a double rotation in two perpendicular non-intersecting planes of rotation at...

the angle between an object's rotational axis and its orbital axis, which is the line perpendicular to its orbital plane; equivalently, it is the angle...

boost velocities, and the axis of rotation is perpendicular to their plane. Let k be a unit vector defining a rotation axis, and let v be any vector to...

numerical linear algebra, a Givens rotation is a rotation in the plane spanned by two coordinates axes. Givens rotations are named after Wallace Givens,...

shows that the rotation of the sphere can be seen as two consecutive reflections about the two planes described above. Points in a mirror plane are invariant...

{\mathbf {y} }}} and the planes of rotation of each axle. These planes of rotation are perpendicular to the axes of rotation and do not move as the axles rotate...

angle between an element of the back cone and a plane of rotation, and usually is equal to the pitch angle. The back cone of a bevel or hypoid gear is...

generated by a pure rotation. Planar movement of a body is often described using a plane figure moving in a two-dimensional plane. The instant center...

An object's degree of rotational symmetry is the number of distinct orientations in which it looks exactly the same for each rotation. Certain geometric...

of a helicopter with the speed and range of a conventional fixed-wing aircraft. For vertical flight, the rotors are angled so the plane of rotation is...

combination of a rotation about an axis and a reflection in a plane perpendicular to that axis. Reflection and inversion are each a special case of improper...

} Additive inverse Coordinate rotations and reflections Householder transformation Inversive geometry Plane of rotation Reflection mapping Reflection...

of inertia, otherwise known as the mass moment of inertia, angular/rotational mass, second moment of mass, or most accurately, rotational inertia, of...

rotation. If a long and heavy pendulum suspended from the high roof above a circular area is monitored over an extended period of time, its plane of oscillation...

e. the positive x direction points to the center of the corner). Note that the plane of rotation of the tire is at an angle to the actual direction that...

composition of rotations (i.e. chained rotations). The geometrical definition demonstrates that three consecutive elemental rotations (rotations about the...

The turn (symbol tr or pla) is a unit of plane angle measurement that is the measure of a complete angle—the angle subtended by a complete circle at its...

with rotations, scales, translations, and shears to move the image plane and center of projection wherever they are desired. 3D projection Change of basis...

rotates the other block of wood for two full revolutions. The plane of rotation is perpendicular to the strings when not tangled. The strings now overlap...