Protein structure determination using data from Nuclear Magnetic Resonance (NMR) experiments is one of the most important problems in Distance Geometry. Protein geometry allow us to define an atomic ordering such that a combinatorial approach can be applied to solve the problem. In order to consider the uncertainties in NMR data, we will discuss a new model to represent protein structures using the 5D Conformal Space and a language more powerful than Linear Algebra: Geometric Algebra.