GEOMETRIC CONSTRUCTION OF CONIC LOCUS

As you know a generic conics is the locus of the point of a plane which have to follow a rule. In this case the law is: the points of the plane where the ratio between the distance from a fixed point (THE FOCUS) and a fixed straight line (THE DIRECTRIX) is constant. The ratio is well known as EXCENTRICITY of the conic and the mathematical equation of a conic is commonly expressed as d(P,F)=e *d (P,r) or d(P,F)/d (P,r)=e. • if e<1 we will get an ellipse • if e=1 we will get a parabola • if e >1 we will get an hyperbola • if e =0 we will get a circumference. Now is your turn to work. You have to follow this simple instruction in order to obtain a conic by applying its definition