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Right circular cone is intersected by a plane that is parallel to one edge of the cone?
Wiki User
∙ 14y ago
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).
Wiki User
∙ 14y ago
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A right circular double-napped cone is intersected by a plane that is parallel to the generator of the cone two conice sections that could be form are?
i suppose it is an hyperbola
If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse is produced.
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.
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.
What is produced when you slice a cone at different angles?
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.
A right circular double-napped cone is intersected by a plane that is parallel to the generator of the cone two conice sections that could be form are?
i suppose it is an hyperbola
If a right circular cone is intersected by a plane only at its vertex what figure it is?
A point.
If a right circular cone is intersected by a plane that passes through only one nappe of the cone but is not parallel to an edge of the cone what shape is produced?
An ellipse is produced.
What geometric shape has 1 circular base?
A sphere intersected by a plane, An circular ellipsoid intersected by a plane, A cylinder, A cone, and many more shapes, some of which don't even have a name!
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.
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a?
It will be a hyperbola.
If two parallel planes are intersected by a third plane the lines of intersection are parallel.?
Yes, they are.
What shape is produced if a right circular cone is intersected by a plane that goes through both nappes of the cone but not through the vertex?
An Ellipse
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n)?
hyperbola
If both nappes of a right circular cone are intersected by a plane that does not pass through the vertex of the cone the resulting curve will be a(n) .?
hyperbola
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.
