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Q: What is the intersection of a plane passing through the apex of a right circular cone?
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What if a right circular cone intersects a plane that passes through one of its nappes but the plane is not parallel to an edge of the cone?

Then the intersection is a hyperbola.


What is it called when a plane intersects a right circular cone through both nappes?

The intersection forms a hyperbola.


What is the shape of the intersection of a cylinder and a plane that is perpendicular to the circular bases?

rectangle


What is the figure called formed by the intersection of a right circular cone and a plane that lies parallel to the edge of the cone?

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).


If a right circular cone intersects a plane that runs parallel to the edge of the cone is what?

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.


The intersection of a plane and a line is?

If the line is not IN the plane ... it just zaps through the plane from some direction ... then it touches the plane in only one point. The intersection is a point.if it is lined up with the plane, then the intersection is a line.


If a circular cone is intersected by a plane so that the intersection goes through its vertex as well as the edge of the nappe what shape is produced?

If I understand your description correctly, a line.


If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe what shape is produced?

If a right circular cone is intersected by a plane so that the intersection goes through the cone's vertex as well as an edge of each nappe, the shape produced is a line. Not asked, but... If the angle of the plane is less than the angle of the cone, then the intersection is a point. If the angle of the plane is greater than the angle of the cone, then the intersection is two lines intersecting at the vertex. If the plane insersects at other than the vertex, then the intersection is a circle when the plane is perpendicular to the cone's axis, an ellipse when the plane's angle is less than the cone's angle, a parabola when the planes's angle equals the cone's angle, and two hyperbole's in the last case.


What is section plane?

Section plane is the intersection of a plane cutting through a solid


What is the shape of the intersection of a cylinder and a plane that is perpendicular to the circular base?

not quite a cirlcel but an oblong circle.


If a right circular cone intersects a plane that runs parallel to the edge of the cone what will be the result?

The intersection of the cone and that particular plane is a parabola.


If a right circular cone is intersected by a plane only at its vertex what shape is produced?

The intersection will consist of only one point.