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A cone is a three-dimensional geometric shape that tapers smoothly from a flat, round base to a point called the apex or vertex. More precisely, it is the solid figure bounded by a plane base and the surface (called the lateral surface) formed by the locus of all straight line segments joining the apex to the perimeter of the base. The term "cone" sometimes refers just to the surface of this solid figure, or just to the lateral surface. The axis of a cone is the straight line (if any), passing through the apex, about which the lateral surface has a rotational symmetry. In general, the base may be any shape, and the apex may lie anywhere (though it is often assumed that the base is bounded and has nonzero area, and that the apex lies outside the plane of the base). For example, a pyramid is technically a cone with a polygonal base. In common usage in elementary geometry, however, cones are assumed to be right circular, where right means that the axis passes through the centre of the base (suitably defined) at right angles to its plane, and circular means that the base is a circle. Contrasted with right cones are oblique cones, in which the axis does not pass perpendicularly through the centre of the base. From Wikipedia under the
GNU Free Documentation License CUBE, CYLINDER, CONE : in Geometry we Trust
max Sun, 03 May 2009 08:57:00 GM CUBE, cylinder and . CONE. are a part of a insilvis research project focusing on basic . geometry. : . cone. , cylinder, cube, sphere. The extreme simplicity, well supported by the high quality of materials and by the perfect technical production, ... The Teaching Company - Mathematics from the Visual World
English Sun, 26 Jul 2009 09:00:06 GM Consider these intriguing applications of . geometry. : * Conic sections: Euclid and other ancient mathematicians investigated conic sections the shapes produced by the intersection of a plane and a . cone. . Two thousand years later, Galileo, ... Aymptotic cones of mapping class groups Low Dimensional Topology
Jesse Johnson ue, 04 Nov 2008 14:03:45 GM Behrstock, Drutu and Sapir show that there is a Lipschitz map from the asymptotic . cone. of the mapping class group into a direct product of trees. So, while the . geometry. doesn't necessarily look like such a product, the topology of the ... From Google Blog Search: "cone (geometry)" |


