Addendum to “image-isometries in Euclidean spaces” [Nonlinear Anal. 63 (2005) 1191–1198]

We point out that the technique from “εε-isometries in Euclidean spaces” enables us to obtain some sharp estimates on Hyers–Ulam stability of the orthogonality equation on bounded domains of Euclidean spaces of any dimension. This strengthens and extends recent results of Jung and Rassias who worked just with balls of View the MathML sourceR3.