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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 reference point (analogous to the origin of a Cartesian coordinate system) is called the pole, and the ray from the pole in the reference direction is the polar axis. 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]

  4. Coordinate systems for the hyperbolic plane - Wikipedia

    en.wikipedia.org/wiki/Coordinate_systems_for_the...

    The reference point (analogous to the origin of a Cartesian system) is called the pole, and the ray from the pole in the reference direction is the polar axis. The distance from the pole is called the radial coordinate or radius, and the angle is called the angular coordinate, or polar angle.

  5. Polar - Wikipedia

    en.wikipedia.org/wiki/Polar

    Polar point group, a symmetry in geometry and crystallography; Pole and polar (a point and a line), a construction in geometry Polar cone; Polar coordinate system, uses a central point and angles; Polar curve (a point and a curve), a generalization of a point and a line; Polar set, with respect to a bilinear pairing of vector spaces

  6. Polar point group - Wikipedia

    en.wikipedia.org/wiki/Polar_point_group

    In geometry, a polar point group is a point group in which there is more than one point that every symmetry operation leaves unmoved. [1] The unmoved points will constitute a line, a plane, or all of space. While the simplest point group, C 1, leaves all points invariant, most polar point groups will move some, but not all points. To describe ...

  7. 15 holiday gifts for dementia patients and caregivers ...

    www.aol.com/15-holiday-gifts-dementia-patients...

    11. A memory phone can store photos with names and contact information. 12. Puzzles and activity books stimulate the brain and promote cognitive sharpness.. 13. Card games and board games ...

  8. Polar circle (geometry) - Wikipedia

    en.wikipedia.org/wiki/Polar_circle_(geometry)

    Any two polar circles of two triangles in an orthocentric system are orthogonal. [1]: p. 177 The polar circles of the triangles of a complete quadrilateral form a coaxal system. [1]: p. 179 The most important property of the polar circle is the triangle is self-polar; the polar of each side/point is the opposite side/point.

  9. Types of PTSD: From Symptoms to Treatment - AOL

    www.aol.com/types-ptsd-symptoms-treatment...

    Complex Post-Traumatic Stress Disorder (CPTSD) Complex PTSD is a form of PTSD that can develop in people who experience ongoing or long-term trauma or multiple traumas. This may include ...