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<p>intersection of the cone and plane is a <a href="page.php?w=closed_curve">closed curve</a>. The circle is obtained when the cutting plane is parallel to the plane of the generating circle of the cone; for a right cone, this means the cutting plane is perpendicular to the axis. If the cutting plane is <a href="page.php?w=Parallel_%28geometry%29">parallel</a> to exactly one generating line of the cone, then the conic is unbounded and is called a parabola. In the remaining case, the figure is a hyperbola: the plane intersects both halves of the</p><p>
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