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.
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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 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 the apex is directly above the centre of the base.