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  2. Generalised circle - Wikipedia

    en.wikipedia.org/wiki/Generalised_circle

    In geometry, a generalized circle, sometimes called a cline or circline, [1] is a straight line or a circle, the curves of constant curvature in the Euclidean plane. The natural setting for generalized circles is the extended plane, a plane along with one point at infinity through which every straight line is considered to pass. Given any three ...

  3. Casey's theorem - Wikipedia

    en.wikipedia.org/wiki/Casey's_theorem

    In mathematics, Casey's theorem, also known as the generalized Ptolemy's theorem, is a theorem in Euclidean geometry named after the Irish mathematician John Casey. Formulation of the theorem [ edit ]

  4. Orthogonal circles - Wikipedia

    en.wikipedia.org/wiki/Orthogonal_circles

    In geometry, two circles are said to be orthogonal if their respective tangent lines at the points of intersection are perpendicular (meet at a right angle). A straight line through a circle's center is orthogonal to it, and if straight lines are also considered as a kind of generalized circles , for instance in inversive geometry , then an ...

  5. Geometry of Complex Numbers - Wikipedia

    en.wikipedia.org/wiki/Geometry_of_Complex_Numbers

    Geometry of Complex Numbers is an undergraduate textbook on geometry, whose topics include circles, the complex plane, inversive geometry, and non-Euclidean geometry. It was written by Hans Schwerdtfeger , and originally published in 1962 as Volume 13 of the Mathematical Expositions series of the University of Toronto Press .

  6. Conformal geometric algebra - Wikipedia

    en.wikipedia.org/wiki/Conformal_geometric_algebra

    a trivector: a generalized circle; a 4-vector: a generalized sphere; etc. These each may split into three cases according to whether A 2 is positive, zero or negative, corresponding (in reversed order in some cases) to the object as listed, a degenerate case of a single point, or no points (where the nonzero solutions of X ∧ A exclude null ...

  7. Circle - Wikipedia

    en.wikipedia.org/wiki/Circle

    In taxicab geometry, p = 1. Taxicab circles are squares with sides oriented at a 45° angle to the coordinate axes. While each side would have length using a Euclidean metric, where r is the circle's radius, its length in taxicab geometry is 2r. Thus, a circle's circumference is 8r.

  8. Geometry template - Wikipedia

    en.wikipedia.org/wiki/Geometry_template

    A geometry template is a piece of clear plastic with cut-out shapes for use in mathematics and other subjects in primary school through secondary school. It also has various measurements on its sides to be used like a ruler. In Australia, popular brands include Mathomat and MathAid.

  9. Power diagram - Wikipedia

    en.wikipedia.org/wiki/Power_diagram

    The cell for a given circle C consists of all the points for which the power distance to C is smaller than the power distance to the other circles. The power diagram is a form of generalized Voronoi diagram, and coincides with the Voronoi diagram of the circle centers in the case that all the circles have equal radii. [1] [2] [3] [4]

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