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  2. Pole and polar - Wikipedia

    en.wikipedia.org/wiki/Pole_and_polar

    In planar dynamics a pole is a center of rotation, the polar is the force line of action and the conic is the mass–inertia matrix. [4] The polepolar relationship is used to define the center of percussion of a planar rigid body. If the pole is the hinge point, then the polar is the percussion line of action as described in planar screw theory.

  3. Polar coordinate system - Wikipedia

    en.wikipedia.org/wiki/Polar_coordinate_system

    the point's direction from the pole relative to the direction of the polar axis, a ray drawn from the pole. The distance from the pole is called the radial coordinate, radial distance or simply radius, and the angle is called the angular coordinate, polar angle, or azimuth. [1] The pole is analogous to the origin in a Cartesian coordinate system.

  4. Coordinate system - Wikipedia

    en.wikipedia.org/wiki/Coordinate_system

    It assigns three numbers (known as coordinates) to every point in Euclidean space: radial distance r, polar angle θ , and azimuthal angle φ . The symbol ρ ( rho ) is often used instead of r . In geometry , a coordinate system is a system that uses one or more numbers , or coordinates , to uniquely determine the position of the points or ...

  5. Matrix representation of conic sections - Wikipedia

    en.wikipedia.org/wiki/Matrix_representation_of...

    In mathematics, the matrix representation of conic sections permits the tools of linear algebra to be used in the study of conic sections.It provides easy ways to calculate a conic section's axis, vertices, tangents and the pole and polar relationship between points and lines of the plane determined by the conic.

  6. Projective harmonic conjugate - Wikipedia

    en.wikipedia.org/wiki/Projective_harmonic_conjugate

    The point P is called the pole of that line of harmonic conjugates, and this line is called the polar line of P with respect to the conic. See the article Pole and polar for more details. Inversive geometry

  7. Pole figure - Wikipedia

    en.wikipedia.org/wiki/Pole_figure

    It is possible to choose any projection plane parallel to the equator (except the South pole): the figures will be proportional (property of similar triangles). It is usual to place the projection plane at the North pole. Definition The pole figure is the stereographic projection of the poles used to represent the orientation of an object in space.

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