conical surface


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cone

, in mathematics

cone or conical surface, in mathematics, surface generated by a moving line (the generator) that passes through a given fixed point (the vertex) and continually intersects a given fixed curve (the directrix). The generator creates two conical surfaces—one above and one below the vertex—called nappes. If the directing curve is a conic section (e.g., a circle or ellipse) the cone is called a quadric cone. The most common type of cone is the right circular cone, a quadric cone in which the directrix is a circle and the line drawn from the vertex to the center of the circle is perpendicular to the circle. The generator of a cone in any of its positions is called an element. The solid bounded by a conical surface and a plane (the base) whose intersection with the conical surface is a closed curve is also called a cone. The altitude of a cone is the perpendicular distance from its vertex to its base. The lateral area is the area of its conical surface. The volume is equal to one third the product of the altitude and the area of the base. The frustum of a cone is the portion of the cone between the base and a plane parallel to the base of the cone cutting the cone in two parts.

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conical surface

[′kän·ə·kəl ′sər·fəs]
(mathematics)
A surface formed by the lines which pass through each of the points of a closed plane curve and a fixed point which is not in the plane of the curve.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.

conical surface

conical surfaceclick for a larger image
A surface extending from the periphery of the horizontal surface outward and upward at a slope of 20 horizontal to 1 vertical for a horizontal distance of 4000 ft. It is an imaginary surface, in which any object that projects above the surface is considered an obstruction to air navigation.
An Illustrated Dictionary of Aviation Copyright © 2005 by The McGraw-Hill Companies, Inc. All rights reserved
References in periodicals archive ?
The transmitter trajectory is determined by the intersection line formed by [L.sub.T] and the conical surface. If the transmitter moves with a fixed altitude, [L.sub.T] is parallel with the ground plane, which leads to a hyperbola trajectory as shown in Figure 5.
The last software tool proposed in this paper refers to the utilisation of a secondary optics in the furnace: in particular Simulation Tool_3 (ST_3) allows introducing a polar conical surface as secondary optics of the collection system.
Because of the fact the intersection is both the spherical and conical locus we can indicate the identically equivalent circle of the spherical one on the flattened conical surface but of different properties e.g.
Then again checking-up of quality of conical bottom follows so that the conical surface would not be damaged in any place.
A CNC3[n] nanocones consists of a triangle as its core and encompassing the layers of hexagons on its conical surface. If there are n layers of hexagons on the conical surface around triangle, then we number n denotes the number of layers of hexagons and number in the subscript shows the sides of polygon which acts as the core of nanocones.
The flight trajectory intersected by plane y = [y.sub.0] and conical surface forms an ellipse as analyzed in Appendix A.
* InspF Cylindrical or conical surface represents a product mating where just feature own geometry participates in the functional chain.
The tool moves by oscillating motion in direction parallel with the axis of this cylindrical surface that can cause the damage of the created conical surface even before the superfinishing.
The current point coordinates of the curve placed on the truncated conical surface, A(x,y,[z.sub.A]) may be deduced using the Fig.3 and the following relations: