The vertex of a hyperbola compares to that of an ellipse, a parabola, and an angle. Why is the same term used in different situations? I can't think of an answer help?

Question

anonymous · Answer

A vertex is a point where two objects intersect. For an angle the vertex is the intersection of two lines. For a hyperbola, ellipse, and parabola the vertex is the intersection of a plane and a cone. https://sites.google.com/site/ahmedabdullaalkendi1205/_/rsrc/1328132874721/home/conics.jpg?height=400&width=240