The Curvature of Curves Posted on September 29, 2014 by solvemymaths via Spring of Mathematics Advertisements Share this:TwitterFacebookLike this:Like Loading... Related

Now do this for x^4+y^4=1 and ask “Where is the vertex?”. A check of the definition of vertex may be in order. The parabola is a very special case ! Reply

When I did maths at school parabolas di not have a vertex, it’s an American thing. I checked the definition, and the (or a) vertex of a curve is a point of maximum curvature. For a parabola the only vertex happens to be at “the bottom”.

Now do this for x^4+y^4=1 and ask “Where is the vertex?”. A check of the definition of vertex may be in order. The parabola is a very special case !

Curious!

When I did maths at school parabolas di not have a vertex, it’s an American thing. I checked the definition, and the (or a) vertex of a curve is a point of maximum curvature. For a parabola the only vertex happens to be at “the bottom”.