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  2. Scaling (geometry) - Wikipedia

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

    Scaling (geometry) In affine geometry, uniform scaling (or isotropic scaling[ 1]) is a linear transformation that enlarges (increases) or shrinks (diminishes) objects by a scale factor that is the same in all directions. The result of uniform scaling is similar (in the geometric sense) to the original. A scale factor of 1 is normally allowed ...

  3. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    Cartesian coordinate system with a circle of radius 2 centered at the origin marked in red. The equation of a circle is (x − a)2 + (y − b)2 = r2 where a and b are the coordinates of the center (a, b) and r is the radius. Cartesian coordinates are named for René Descartes, whose invention of them in the 17th century revolutionized ...

  4. Transformation matrix - Wikipedia

    en.wikipedia.org/wiki/Transformation_matrix

    Transformation matrix. In linear algebra, linear transformations can be represented by matrices. If is a linear transformation mapping to and is a column vector with entries, then for some matrix , called the transformation matrix of . [citation needed] Note that has rows and columns, whereas the transformation is from to .

  5. Universal Transverse Mercator coordinate system - Wikipedia

    en.wikipedia.org/wiki/Universal_Transverse...

    t. e. The Universal Transverse Mercator ( UTM) is a map projection system for assigning coordinates to locations on the surface of the Earth. Like the traditional method of latitude and longitude, it is a horizontal position representation, which means it ignores altitude and treats the earth surface as a perfect ellipsoid.

  6. Helmert transformation - Wikipedia

    en.wikipedia.org/wiki/Helmert_transformation

    Helmert transformation. The transformation from a reference frame 1 to a reference frame 2 can be described with three translations Δx, Δy, Δz, three rotations Rx, Ry, Rz and a scale parameter μ. The Helmert transformation (named after Friedrich Robert Helmert, 1843–1917) is a geometric transformation method within a three-dimensional space.

  7. Frame of reference - Wikipedia

    en.wikipedia.org/wiki/Frame_of_reference

    In physics and astronomy, a frame of reference (or reference frame) is an abstract coordinate system whose origin, orientation, and scale are specified by a set of reference points ― geometric points whose position is identified both mathematically (with numerical coordinate values) and physically (signaled by conventional markers). [ 1]

  8. Lagrange point - Wikipedia

    en.wikipedia.org/wiki/Lagrange_point

    v. t. e. In celestial mechanics, the Lagrange points ( / ləˈɡrɑːndʒ /; also Lagrangian points or libration points) are points of equilibrium for small-mass objects under the gravitational influence of two massive orbiting bodies. Mathematically, this involves the solution of the restricted three-body problem. [1]

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    The AOL.com video experience serves up the best video content from AOL and around the web, curating informative and entertaining snackable videos.