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  2. Quadrant (plane geometry) - Wikipedia

    en.wikipedia.org/wiki/Quadrant_(plane_geometry)

    The four quadrants of a Cartesian coordinate system. The axes of a two-dimensional Cartesian system divide the plane into four infinite regions, called quadrants, each bounded by two half-axes. The axes themselves are, in general, not part of the respective quadrants.

  3. List of common coordinate transformations - Wikipedia

    en.wikipedia.org/wiki/List_of_common_coordinate...

    Note: solving for ′ returns the resultant angle in the first quadrant (< <). To find , one must refer to the original Cartesian coordinate, determine the quadrant in which lies (for example, (3,−3) [Cartesian] lies in QIV), then use the following to solve for :

  4. Cartesian coordinate system - Wikipedia

    en.wikipedia.org/wiki/Cartesian_coordinate_system

    A Cartesian coordinate system in two dimensions (also called a rectangular coordinate system or an orthogonal coordinate system [8]) is defined by an ordered pair of perpendicular lines (axes), a single unit of length for both axes, and an orientation for each axis. The point where the axes meet is taken as the origin for both, thus turning ...

  5. Rotation matrix - Wikipedia

    en.wikipedia.org/wiki/Rotation_matrix

    A derivation of this matrix from first principles can be found in section 9.2 here. [9] The basic idea to derive this matrix is dividing the problem into few known simple steps. First rotate the given axis and the point such that the axis lies in one of the coordinate planes (xy, yz or zx)

  6. File:Cartesian coordinates 2D.svg - Wikipedia

    en.wikipedia.org/wiki/File:Cartesian_coordinates...

    Quadrant (geometria plana) Usage on ca.wikibooks.org Matemàtiques (Prova d'accés a cicles formatius de grau superior)/Vectors al pla; Usage on cs.wikipedia.org Kartézská soustava souřadnic; Kvadrant (geometrie) Usage on en.wikibooks.org Algebra/Chapter 5/The Coordinate (Cartesian) Plane; Fractals/mandel; Usage on en.wikiversity.org

  7. Translation of axes - Wikipedia

    en.wikipedia.org/wiki/Translation_of_axes

    Any second-degree equation which does not reduce to a cylinder, plane, line, or point corresponds to a surface which is called quadric. [ 11 ] As in the case of plane analytic geometry, the method of translation of axes may be used to simplify second-degree equations, thereby making evident the nature of certain quadric surfaces.

  8. Orthant - Wikipedia

    en.wikipedia.org/wiki/Orthant

    In two dimensions, there are four orthants (called quadrants) In geometry, an orthant [1] or hyperoctant [2] is the analogue in n-dimensional Euclidean space of a quadrant in the plane or an octant in three dimensions. In general an orthant in n-dimensions can be considered the intersection of n mutually orthogonal half-spaces.

  9. Homogeneous coordinates - Wikipedia

    en.wikipedia.org/wiki/Homogeneous_coordinates

    Rational Bézier curve – polynomial curve defined in homogeneous coordinates (blue) and its projection on plane – rational curve (red) In mathematics, homogeneous coordinates or projective coordinates, introduced by August Ferdinand Möbius in his 1827 work Der barycentrische Calcul, [1] [2] [3] are a system of coordinates used in projective geometry, just as Cartesian coordinates are used ...

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