Geometric constraint solving for parametric conics

Geometric constraint solving is a rapidly developing field, with applications in areas such as kinematics, molecular modeling, surveying, and geometric theorem proving. This paper has incorporated conic arcs into a geometric constraint solver and describes how to construct conic blending arcs from constraints using a rational parametric representation - rational quadratic Bezier which combines the separate cases of blending edges. There are some possible constraints: traverse a fixed point, or tangency to or distance from a line. Here a uniform rational Bezier representation has been developed first, then the paper presents two methods to solve tangency to or distance from a line.