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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 pole–polar 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.
Points in the polar coordinate system with pole O and polar axis L. In green, the point with radial coordinate 3 and angular coordinate 60 degrees or (3, 60°). In blue, the point (4, 210°). In mathematics, the polar coordinate system specifies a given point in a plane by using a distance and an angle as its two coordinates. These are
Plate tectonics (from Latin tectonicus, from Ancient Greek τεκτονικός (tektonikós) 'pertaining to building') [1] is the scientific theory that the Earth's lithosphere comprises a number of large tectonic plates, which have been slowly moving since 3–4 billion years ago.
A plane is chosen as the equator, usually the (001) or (011) plane; its pole is the center of the figure. Then, the poles of the other planes are placed on the figure, with the Miller indices for each pole. The poles that belong to a zone are sometimes linked with the related trace.
While it may have been used by ancient Egyptians for star maps in some holy books, [1] the earliest text describing the azimuthal equidistant projection is an 11th-century work by al-Biruni. [2] The first use of the projection on a terrestrial map is the pair of hemispheres by Glareanus of about 1510. [ 1 ]
In differential geometry, conjugate points or focal points [1] [2] are, roughly, points that can almost be joined by a 1-parameter family of geodesics. For example, on a sphere, the north-pole and south-pole are connected by any meridian. Another viewpoint is that conjugate points tell when the geodesics fail to be length-minimizing.
This article describes techniques; for a history of the movement of tectonic plates, see Geological history of Earth.. Plate reconstruction is the process of reconstructing the positions of tectonic plates relative to each other (relative motion) or to other reference frames, such as the Earth's magnetic field or groups of hotspots, in the geological past.
The adjoining plates are the Nazca plate, the South American plate, the African plate, the Somali plate, the Indo-Australian plate, the Pacific plate, and, across a transform boundary, the Scotia and South Sandwich plates. The Antarctic plate has an area of about 60,900,000 km 2 (23,500,000 sq mi). [3] It is Earth's fifth-largest tectonic plate.
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