Erratum to "The Beckman-Quarles theorem for rational spaces": [Discrete Mathematics 365 (2003) 311-320]

The claim, included in Lemma 2, that all the mutual distances of the given points in the unit circle are rational numbers is wrong. This happens only if both cos x and sin x of the starting angle x are rational numbers. In the proof of Theorem 3, where Lemma 2 is used, the distances ‖Wm −Wn‖ and an, need not be rational, but their squares are, of course, rational numbers. The form given for the distances ‖Wm −Wn‖ is wrong, and it is not used in the proof.