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.
An ellipse is produced.
i suppose it is an hyperbola
When a cone is sliced parallel to the base then the shape produced is a circle. If the cone is sliced at an angle so that the cut goes completely through the cone then an ellipse is produced. If the cut is made perpendicular to the cone's base then the shape produced is a parabola.
I'm assuming you are looking for the name of the conic section produced by this type of intersection? If a right circular cone is intersected by a plane parallel to one edge of the cone, the resulting curve of intersection would be a parabola. If the intersecting plane was parallel to the base, it would be a circle. If the intersecting plane was at any angle between being parallel to the base and being parallel to an edge, it would produce an ellipse or part of an ellipse (depending on whether the intersection was completely within the cone).
I don't think there is a special name for that.
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.
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.