By "double right cone" do you mean one right cone sitting normal with another right cone upside-down atop the first cone? If so, then we you take that double right cone and intersect it with a plane at different angles, you get the conic sections. (i.e. hyperbola, parabola, elipse, circle)
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.
Conics, or conic sections, are the intersection of a plane with an infinite double cone. If that plane cuts both cones, it is a hyperbola. If it is parallel to the edge of the cone, you get a parabola. If neither is the case, it is an ellipse. The ellipse is also a circle if the plane is perpendicular to the altitude of the cone. Note that none of these are the case if the plane passes through the vertex of the cone.
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).
A cross section is formed.
If I understand your description correctly, a line.
A Circle.
square
a square
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).
a polygon a polygon * * * * * No it is not! If the line is in that plane then it is the whole line. If not, it is a single point.
It is the cross-section of the figure by the plane.
That thing.
the A plane is intersect the plane B It's a line.
Cross Section
Origin
If this is a homework question, please consider trying to answer it yourself first, otherwise the value the reinforcement of the lesson by doing the homework will be lost to you.If plane intersects a right circular cone perpendicular to the axis of the cone then the shape of the 2 dimensional figure formed from the intersection of the plane with the cone is a circle. At the vertex of the cone, the circle becomes a point. In the general case of any plane intersecting any cone, the intersection is known as a conic section.
cross section