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We present here an improved method for measuring the order parameter S in nematic liquid cyrstals. The mehtod is based on measuring the centers of gravity (CG) of two groups of lines, generally unresolved or partially resolved, of the magnetic resonance spectrum of ring protons. The CG are defined from the spectral center and the separation between them is used to obtain S. The method is applied to measure S in para-azoxyanisole at different temperatures and the results are compared with earlier ones. In obtaining the spectrum, use has been made of the Fourier transform of the proton free-precession signal. The advantages of using this procedure over the commonly used continuous-wave technique are also discussed.