The MathResource
focus,
n. a fixed point on the concave side of a conic section, in terms of which, together with its directrix and its eccentricity, the locus of points constituting the conic is defined. The figure

shows both foci (E) of an ellipse, the focus (H) of one branch of an hyperbola, and the focus (P) of a parabola that all share a vertex.