hyperbolic pencil

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• Apollonian circles — Some Apollonian circles. Every blue circle intersects every red circle at a right angle. Every red circle passes through the two points, C and D, and every blue circle separates the two points. This article discusses a family of circles sharing a …   Wikipedia

• Circles of Apollonius — Apollonian circle redirects here. For a subdivision of this subject, see Apollonian circles. The term circle of Apollonius is used to describe several types of circles associated with Apollonius of Perga, a renowned Greek geometer. Most of these… …   Wikipedia

• Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole …   Wikipedia

• Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola …   Wikipedia

• drawing — /draw ing/, n. 1. the act of a person or thing that draws. 2. a graphic representation by lines of an object or idea, as with a pencil; a delineation of form without reference to color. 3. a sketch, plan, or design, esp. one made with pen, pencil …   Universalium

• Hilbert's arithmetic of ends — is an algebraic approach introduced by German mathematician David Hilbert for Poincaré disk model of hyperbolic geometry [Hilbert, A New Development of Bolyai Lobahevskian Geometry as Appendix III in Foundations of Geometry , 1971.] . Hilbert… …   Wikipedia

• Cubic function — This article is about cubic equations in one variable. For cubic equations in two variables, see elliptic curve. Graph of a cubic function with 3 real roots (where the curve crosses the horizontal axis where y = 0). It has 2 critical points. Here …   Wikipedia

• mathematics, foundations of — Scientific inquiry into the nature of mathematical theories and the scope of mathematical methods. It began with Euclid s Elements as an inquiry into the logical and philosophical basis of mathematics in essence, whether the axioms of any system… …   Universalium

• Degenerate conic — Main article: Conic section In mathematics, a degenerate conic is a conic (degree 2 plane curve, the zeros of a degree 2 polynomial equation, a quadratic) that fails to be an irreducible curve. This can happen in two ways: either it is a… …   Wikipedia

• M. C. Escher — Maurits Cornelis Escher A 1929 self portrait …   Wikipedia

• Dessin d'enfant — In mathematics, a dessin d enfant (French for a child s drawing , plural dessins d enfants, children s drawings ) is a type of graph drawing used to study Riemann surfaces and to provide combinatorial invariants for the action of the absolute… …   Wikipedia