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The adjective Cartesian refers to the French mathematician and philosopher René Descartes, who published this idea in 1637 while he was resident in the Netherlands.It was independently discovered by Pierre de Fermat, who also worked in three dimensions, although Fermat did not publish the discovery. [1]
The origin of a Cartesian coordinate system. In mathematics, the origin of a Euclidean space is a special point, usually denoted by the letter O, used as a fixed point of reference for the geometry of the surrounding space.
The Cartesian product of two edges is a cycle on four vertices: K 2 K 2 = C 4.; The Cartesian product of K 2 and a path graph is a ladder graph.; The Cartesian product of two path graphs is a grid graph.
Examples of determining indices for a plane using intercepts with axes; left (111), right (221) There are two equivalent ways to define the meaning of the Miller indices: [1] via a point in the reciprocal lattice, or as the inverse intercepts along the lattice vectors.
The World Geodetic System (WGS) is a standard used in cartography, geodesy, and satellite navigation including GPS.The current version, WGS 84, defines an Earth-centered, Earth-fixed coordinate system and a geodetic datum, and also describes the associated Earth Gravitational Model (EGM) and World Magnetic Model (WMM).
A Delaunay triangulation in the plane with circumcircles shown. In computational geometry, a Delaunay triangulation or Delone triangulation of a set of points in the plane subdivides their convex hull [1] into triangles whose circumcircles do not contain any of the points; that is, each circumcircle has its generating points on its circumference, but all other points in the set are outside of it.
The "nine dots" puzzle. The puzzle asks to link all nine dots using four straight lines or fewer, without lifting the pen. The nine dots puzzle is a mathematical puzzle whose task is to connect nine squarely arranged points with a pen by four (or fewer) straight lines without lifting the pen or retracing any lines.
In three dimensions, there are an infinite number of point groups, but all of them can be classified by several families. C n (for cyclic) has an n-fold rotation axis.. C nh is C n with the addition of a mirror (reflection) plane perpendicular to the axis of rotation (horizontal plane).