Creates a conic given two points on the conic section, an anchor point to determine the starting and ending slopes, and the projective discriminant. The projective discriminant, Rho, is used to determine a third point on the conic section. Consider a line you construct from the anchor point to the midpoint of the line connecting the two endpoints of the conic section. The third point on the conic section lies somewhere along this line.

In the figure above, the distance D1 is determined from the value entered for Rho. The value entered for Rho must be between 0 and 1. The type of conic section created is determined by this value.

• If Rho is < 1/2, an ellipse is created.

• If Rho is = 1/2, a parabola is created.

• If Rho is > 1/2, a hyperbola is created.

The appropriate conic section is created after Rho is entered.

The Rho value can be used to control the elongation of the curve in place of a third, intermediate point. The Rho value represents a decimal fraction of the distance from the endpoints to the anchor. The closer the Rho value gets to one, the more elongated the conic becomes.