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We have measured the spectral shape Michel parameters [rho] and [eta] using leptonic decays of the [tau], recorded by the CLEO II detector. Assuming e-[mu] universality, we find [rho]{sub e{mu}}= 0.735 ± 0.013 ± 0.008 and [eta]{sub e{mu}} = 0.015 ± 0.061 ± 0.062, where the first error is statistical and the second systematic.