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circle of infinite radius

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  • Circle — This article is about the shape and mathematical concept. For other uses, see Circle (disambiguation). Circle illustration showing a radius, a diameter, the centre and the circumference …   Wikipedia

  • Radius of convergence — In mathematics, the radius of convergence of a power series is a quantity, either a non negative real number or ∞, that represents a domain (within the radius) in which the series will converge. Within the radius of convergence, a power series… …   Wikipedia

  • Circumscribed circle — Circumscribed circle, C, and circumcenter, O, of a cyclic polygon, P In geometry, the circumscribed circle or circumcircle of a polygon is a circle which passes through all the vertices of the polygon. The center of this circle is called the… …   Wikipedia

  • Circle of confusion — For the closely related topic in microscopy, see Point spread function. In optics, a circle of confusion is an optical spot caused by a cone of light rays from a lens not coming to a perfect focus when imaging a point source. It is also known as… …   Wikipedia

  • Squaring the circle — Squaring the circle: the areas of this square and this circle are equal. In 1882, it was proven that this figure cannot be constructed in a finite number of steps with an idealized compass and straightedge …   Wikipedia

  • Tangent lines to circles — In Euclidean plane geometry, tangent lines to circles form the subject of several theorems, and play an important role in many geometrical constructions and proofs. Since the tangent line to a circle at a point P is perpendicular to the radius to …   Wikipedia

  • curvature — /kerr veuh cheuhr, choor /, n. 1. the act of curving or the state of being curved. 2. a curved condition, often abnormal: curvature of the spine. 3. the degree of curving of a line or surface. 4. Geom. a. (at a point on a curve) the derivative of …   Universalium

  • Inversive geometry — Not to be confused with Inversive ring geometry. In geometry, inversive geometry is the study of those properties of figures that are preserved by a generalization of a type of transformation of the Euclidean plane, called inversion. These… …   Wikipedia

  • differential geometry — Math. the branch of mathematics that deals with the application of the principles of differential and integral calculus to the study of curves and surfaces. * * * Field of mathematics in which methods of calculus are applied to the local geometry …   Universalium

  • Smooth function — A bump function is a smooth function with compact support. In mathematical analysis, a differentiability class is a classification of functions according to the properties of their derivatives. Higher order differentiability classes correspond to …   Wikipedia

  • Apeirogon — An apeirogon is a degenerate polygon with a countably infinite number of sides. It is the limit of a sequence of polygons with more and more sides.Like any polygon, it is a sequence of line segments (edges) and angles (corners). But whereas an… …   Wikipedia

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