 
 A hyperbola can be defined as the locus of all points whos distance from the focus is
proportional to the horizontal distance from a vertical line know as the conic section
directerx. 
 Conic sections are among the oldest curves, and is an oldest math subject studied
systematically and thoroughly. 
 The conics seems to have been discovered by Menaechmus (a Greek, c.375325 BC) a tutor
to Alexander the Great. 
 They were conceived in an attempt to solve the three famous problems of trisecting the
angle, duplicating the cube, and squaring the circle. 
 The conics were first defined as the intersection of: a right circular cone of varying
vertex angle; a plane perpendicular to an element of the cone. (An element of a cone is
any line that makes up the cone) 
