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de-sectioned "special cases" to get rid of line through image
*A [[hyperbola]], if the plane is at an angle to the axis smaller than the cone's apex. Most hyperbolas are thus two separate curves, resulting from the plane intersecting both "halves" of the cone.
*A [[hyperbola]], if the plane is at an angle to the axis smaller than the cone's apex. Most hyperbolas are thus two separate curves, resulting from the plane intersecting both "halves" of the cone.
'''Special cases'''
*If the plane is tangent to the cone, a line is produced
*If the plane is tangent to the cone, a line is produced