Other Definitions cone (dict)
|
ConeA cone is a basic geometrical shape: see cone (geometry). Several things have also been called "cones" on account of their shape: The word cone and its derivatives also have several specialized meanings in mathematics: - In geometry,
- Also in geometry, the cone of an arbitrary set means the union of all line segments connecting a fixed point to points of . For exmple, this coning operation will turn a triangle into a tetrahedron.
- In topology, too, coning may be applied to a topological space, e.g. to define the barycentric subdivision of a cell complex; see cone (topology).
- In linear algebra, the convex cone of a set of vectors consists of all linear combinations of those vectors with non-negative coefficients.
- In graph theory, a cone graph is a graph with a universal vertex (a vertex that is connected to all others vertices).
- In descriptive geometry, "conical projection" is another name for the perspective projection.
- In cartography, however, a conical projection maps the spherical surface of the Earth to a conical surface, that is then unrolled onto a plane.
- A conic section is any curve obtained by cutting the surface of a cone (more precisely, a conical surface) by an arbitrary plane.
|
 |