pencil of curves
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Pencil (mathematics) — A pencil is a family of geometric objects, such as lines, that have a common property, such as passage through a given line in a given plane.In more technical language, a pencil is the special case of a linear system of divisors in which the… … Wikipedia
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
Chasles' theorem — Several results in mathematics have been attributed to Michel Chasles (1793–1880) and named Chasles theorem: In kinematics, the most general rigid body displacement can be produced by a translation along a line followed (or preceded) by a… … Wikipedia
Ellipse — Elliptical redirects here. For the exercise machine, see Elliptical trainer. This article is about the geometric figure. For other uses, see Ellipse (disambiguation). Not to be confused with ellipsis. An ellipse obtained as the intersection of a… … Wikipedia
Linear system of divisors — A linear system of divisors algebraicizes the classic geometric notion of a family of curves, as in the Apollonian circles. In algebraic geometry, a linear system of divisors is an algebraic generalization of the geometric notion of a family of… … 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
Hyperbola — This article is about a geometrical curve, a conic section. For the term used in rhetoric, see Hyperbole … Wikipedia
Lie sphere geometry — is a geometrical theory of planar or spatial geometry in which the fundamental concept is the circle or sphere. It was introduced by Sophus Lie in the nineteenth century. [The definitive modern textbook on Lie sphere geometry is Harvnb|Cecil|1992 … Wikipedia
Conic section — Types of conic sections: 1. Parabola 2. Circle and ellipse 3. Hyperbola … Wikipedia
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
Cubic plane curve — A selection of cubic curves. See information page for details. Cubic curve redirects here. For information on polynomial functions of degree 3, see Cubic function. In mathematics, a cubic plane curve is a plane algebraic curve C defined by a… … Wikipedia
