The article covers the basic functionality of the geometric modeling kernel Simplex system. The author represents analytical expressions for determining the coordinates of the intersection points of circles and straight lines with the possibility of setting these objects with imaginary values. This article contains basic material necessary for an understanding of the work of other geometrical functions of the system, designed to achieve the challenges of the projective and descriptive geometry in spaces of different dimensions with the possibility of taking into account the imaginary solutions.
Keywords:Constructive geometrical modeling, the intersection of the circles, the intersection of a circle and a straight line, Simplex
