Q: Is a cone a three-dimensional geometric shape that tapers smoothly from a flat base to a point called the apex or vertex? ¶
Q: Is a cone right circular the intersection of a plane with the lateral surface is a conic section? ¶
Q: Is a cone called the "directrix"? ¶
A: Yes, and each of the line segments between the directrix and apex is a "generatrix" or "generating line" of the lateral surface.
Q: Are cones not usually special? ¶
A: Yes, in fact one is often interested in polyhedral cones.
Q: Is a cone the radius of its base? ¶
A: Yes, often this is simply called the radius of the cone.
Q: Is a cone the straight line? ¶
A: Yes, and passing through the apex, about which the base has a circular symmetry.
Q: Are cones oblique cones? ¶
A: Yes, and in which the axis passes through the centre of the base non-perpendicularly.
Q: Are cones assumed to be right circular? ¶
A: Yes, where circular means that the base is a circle and right means that the axis passes through the centre of the base at right angles to its plane.
Q: Is a cone the distance from any point on the circle to the apex of the cone via a straight line along the surface of the cone? ¶
Q: Is a cone a conic section? ¶
Q: Is a cone formed by a set of line segments? ¶
A: Yes, and half-lines, or lines connecting a common point, the apex, to all of the points on a base that is in a plane that does not contain the apex.
Q: Is a cone a solid object? ¶
A: Yes, otherwise it is a two-dimensional object in three-dimensional space.