Hyperbola Construction
From Wikipedia, A hyperbola is the locus of points where the absolute value of the difference of the distances to the two foci is a constant equal to 2a, the distance between its two vertices.
Let F and G be two points and let d<AB be a positive real number. The set of points P such that abs. PF-PG=d is called a hyperbola. The points F and G are the foci of the hyperbola, and FG/d is the eccentricity.