Geometric constraint solving with conics

Most mechanical CAD systems use line and circle (ruler and compass) as basic drawing tools. In this paper we introduce a class of new drawing tools: copies. we proved that the class of diagrams within the drawing scope of this new tool is larger than that can be drawn with line and circle. Actually. we proved that a diagram can be drawn with conics if and only if this diagram can be described with a sequence of triangularised equations of degree less than or equal to four. This allows us to maintain the elegance of geometric constraint solving with ruler and compass, because the solutions of cubic and quartic equations can be written explicitly.