A geometric modelling system having a display device which displays two-dimensional wire frame pattern representing surfaces which constitute a three-dimensional form as an object, and an operation unit which automatically forms, as the user appoint a point within the two- dimensional wire frame pattern, a definite surface or boundaries of the definite surface with high matching property, while confirming the completeness of various states such as double-definition of a constituent line, states of intersection, and so forth, so as to satisfy various geometric conditions.
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