A right circular cone looks like a martini glass. Actually, the martini glass is only a part of one half of the cone. Think also of an ice cream cone, again being part of one half.
Formally, the right circular cone is the surface in three-dimensional space swept by a line that intersects a point and the domain of the circumference of a circle, said point lying on a line perpendicular (right angle) to the circle and intersecting its radius. Since the line sweeps through a point, there are two nappes, one on each side of that single point. The perpendicular line is called the axis, and the point is called the vertex.
I don't think there is a special name for that.
if a right circular cone intersects a plane that goes through both nappes of the cone, but not through the vertex, the resulting curve will be a hyperbola
The result is a right cone
True
hyperbola
A right circular cone is perfectly balanced on its circular base. Imagine a cone that has a circular base, but leans to one side - this is a non right circular cone.
A right circular cone balanced on its apex.A right circular cone balanced on its apex.A right circular cone balanced on its apex.A right circular cone balanced on its apex.
A Right Circular Cone is one wherein the base of the cone is circular and the axis of the cone is perpendicular to the base and passes through the center of the base and the vertex of the cone.
In a right circular cone the apex is directly above the centre of the base.
A parabola is the figure formed by the intersection of a circular cone and a plane that lies parallel to the edge of the cone. (the cone does not have to be a right [90°] circular cone).
In a right circular cone a line from the vertex to the center of the circular base is perpendicular to the base. In an oblique circular cone that same line will not be perpendicular.
nappe :)
no
Two nappes of a right circular cone meet at a point called the vertex.
If it is a right circular cone, it has an infinite number of planes of symmetry. If it is an oblique circular cone, it has one plane of symmetry.
The intersection of a right circular cone and a plane that is parallel to the edge of the cone is a parabola. However, if the vertex of the cone lies on the plane, then the intersection is simply two intersecting lines.
If a right circular cone intersects a plane that runs parallel to the cone's axis but does not pass through its vertex, the resulting curve is a pair of hyperboles.