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?

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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?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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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

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