Abstract
In preliminary project phases, designers generally prefer to express their ideas via 2D or 3D sketches. The scientific problem covered in this paper is that of the analysis of the consistency of a 3D geometric specification. Since traditional geometric Cartesian modelling does not permit easy analysis of consistency, we will present two non-Cartesian modellings: either by exclusively using points, and Cayley-Menger determinants will enable the relations between mutual distances to be written, or by using points and vectors, and Gram determinants will enable the relations between scalar products to be written. Finally, we will present the advantages of these two modellings in order to analyse the overall consistency of a specification.
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