cevian

The length of a cevian can be determined by Stewart's Theorem.

Let be the length of a cevian to the side of length .

For each cevian, the point of concurrency is the sum of the vertex and the foot.

Earlier this year he was appointed UK chairman of Cevian Capital, Europe's largest activist fund manager.

The name cevian comes from the Italian engineer Giovanni Ceva, who proved a well known theorem about cevians which also bears his name.

(Ceva is pronounced Chay'va; cevian is pronounced chev'ian.)

In geometry, Stewart's theorem yields a relation between a lengths of the sides of the triangle and the length of a cevian of the triangle.

In geometry, a cevian is any line segment in a triangle with one endpoint on a vertex of the triangle and the other endpoint on the opposite side.

Then the cevians are concurrent if and only if a mass distribution can be assigned to the vertices such that each cevian intersects the opposite facet at its center of mass.

Also, this cubic is the locus of X such that the pedal triangle of X is the cevian of some point (which lies on the Lucas cubic).

The principle of calculation is that the foot of a cevian is the addition(defined above) of the two vertices(they are the endpoints of the side where the foot lie).

In June 2011, Lord Myners became chairman and a partner of Cevian Capital (UK) LLP, the UK arm of Cevian Capital, the largest active ownership (or activist) manager in Europe.