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  2. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    The equation of the circle determined by three points (,), (,), (,) not on a line is obtained by a conversion of the 3-point form of a circle equation: () + () () () = () + () () (). Homogeneous form In homogeneous coordinates , each conic section with the equation of a circle has the form x 2 + y 2 − 2 a x z − 2 b y z + c z 2 = 0 ...

  3. Center (algebra) - Wikipedia

    en.wikipedia.org/wiki/Center_(algebra)

    The center of a group G consists of all those elements x in G such that xg = gx for all g in G. This is a normal subgroup of G. The similarly named notion for a semigroup is defined likewise and it is a subsemigroup. [1] [2] The center of a ring (or an associative algebra) R is the subset of R consisting of all those elements x of R such that ...

  4. Centre (geometry) - Wikipedia

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

    the circumcentre, which is the centre of the circle that passes through all three vertices; the centroid or centre of mass, the point on which the triangle would balance if it had uniform density; the incentre, the centre of the circle that is internally tangent to all three sides of the triangle;

  5. Centroid - Wikipedia

    en.wikipedia.org/wiki/Centroid

    In mathematics and physics, the centroid, also known as geometric center or center of figure, of a plane figure or solid figure is the arithmetic mean position of all the points in the surface of the figure. [further explanation needed] The same definition extends to any object in -dimensional Euclidean space. [1]

  6. Microsoft Math Solver - Wikipedia

    en.wikipedia.org/wiki/Microsoft_Math_Solver

    Microsoft Math contains features that are designed to assist in solving mathematics, science, and tech-related problems, as well as to educate the user. The application features such tools as a graphing calculator and a unit converter. It also includes a triangle solver and an equation solver that provides step-by-step solutions to each problem.

  7. Gauss circle problem - Wikipedia

    en.wikipedia.org/wiki/Gauss_circle_problem

    Gauss's circle problem asks how many points there are inside this circle of the form (,) where and are both integers. Since the equation of this circle is given in Cartesian coordinates by x 2 + y 2 = r 2 {\displaystyle x^{2}+y^{2}=r^{2}} , the question is equivalently asking how many pairs of integers m and n there are such that

  8. Midpoint circle algorithm - Wikipedia

    en.wikipedia.org/wiki/Midpoint_circle_algorithm

    The objective of the algorithm is to approximate a circle, more formally put, to approximate the curve + = using pixels; in layman's terms every pixel should be approximately the same distance from the center, as is the definition of a circle. At each step, the path is extended by choosing the adjacent pixel which satisfies + but maximizes +.

  9. Nine-point circle - Wikipedia

    en.wikipedia.org/wiki/Nine-point_circle

    The center of all rectangular hyperbolas that pass through the vertices of a triangle lies on its nine-point circle. Examples include the well-known rectangular hyperbolas of Keipert, JeÅ™ábek and Feuerbach. This fact is known as the Feuerbach conic theorem. The nine point circle and the 16 tangent circles of the orthocentric system