  In this note we present a generalization of the maximum angle condition,
proposed by J. L. Synge in 1957 and M. K\v{r}\'{i}\v{z}ek in 1992 for
triangular and tetrahedral elements, respectively, for the case of
higher-dimensional simplicial finite elements. Its relations to the other
angle-type conditions commonly used in finite element methods are analysed.
