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  2. Happy ending problem - Wikipedia

    en.wikipedia.org/wiki/Happy_ending_problem

    The happy ending problem: every set of five points in general position contains the vertices of a convex quadrilateral In mathematics , the " happy ending problem " (so named by Paul Erdős because it led to the marriage of George Szekeres and Esther Klein [ 1 ] ) is the following statement:

  3. Five-point stencil - Wikipedia

    en.wikipedia.org/wiki/Five-point_stencil

    In numerical analysis, given a square grid in one or two dimensions, the five-point stencil of a point in the grid is a stencil made up of the point itself together with its four "neighbors". It is used to write finite difference approximations to derivatives at grid points. It is an example for numerical differentiation.

  4. Dividing a circle into areas - Wikipedia

    en.wikipedia.org/wiki/Dividing_a_circle_into_areas

    The number of points (n), chords (c) and regions (r G) for first 6 terms of Moser's circle problem. In geometry, the problem of dividing a circle into areas by means of an inscribed polygon with n sides in such a way as to maximise the number of areas created by the edges and diagonals, sometimes called Moser's circle problem (named after Leo Moser), has a solution by an inductive method.

  5. Five points determine a conic - Wikipedia

    en.wikipedia.org/wiki/Five_points_determine_a_conic

    In Euclidean and projective geometry, five points determine a conic (a degree-2 plane curve), just as two (distinct) points determine a line (a degree-1 plane curve). There are additional subtleties for conics that do not exist for lines, and thus the statement and its proof for conics are both more technical than for lines.

  6. Point plotting - Wikipedia

    en.wikipedia.org/wiki/Point_plotting

    Using point plotting, one associates an ordered pair of real numbers (x, y) with a point in the plane in a one-to-one manner. As a result, one obtains the 2-dimensional Cartesian coordinate system . To be able to plot points, one needs to first decide on a point in plane which will be called the origin , and a couple of perpendicular lines ...

  7. Mass point geometry - Wikipedia

    en.wikipedia.org/wiki/Mass_point_geometry

    All problems that can be solved using mass point geometry can also be solved using either similar triangles, vectors, or area ratios, [2] but many students prefer to use mass points. Though modern mass point geometry was developed in the 1960s by New York high school students, [3] the concept has been found to have been used as early as 1827 by ...

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