SOLUTION: 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 an
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Question 737426: 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 an
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
If the angle of the plane is than the angle of the cone, then the intersection is a .
If the angle of the plane is than the angle of the cone, then the intersection is intersecting at the vertex.
If the plane insersects at than the , then the intersection is a when the plane is to the cone's axis, an when the plane's angle is than the cone's angle, a when the planes's angle the cone's angle, and two 's in the last case.
If a right circular cone is intersected by a plane so that the intersection goes the cone's as well as an of each nappe, the shape produced is a .
in your case, 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
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