Three dimensional construction techniques are described along with the detailed description of several derivations. The resultant algorithms allow construction of points, lines, and conics directly in 3-space. These pieces of geometry are constructed relative to existing lines, conics, and splines which are represented as parametric rational cubics. The generality of these algorithms allows a single routine to handle construction relative to all curve types in the system. This characteristic reduces the amount of code and thus the implementation and maintenance costs of the CAD system. These techniques are being incorporated into a Computer-Aided Design system.

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