  A shadow of a geometric object $A$ in a given direction $v$ is the orthogonal
projection of $A$ on the hyperplane orthogonal to $v$. We show that any
topological embedding of a circle into Euclidean $d$-space can have at most two
shadows that are simple paths in linearly independent directions. The proof is
topological and uses an analog of basic properties of degree of maps on a
circle to relations on a circle. This extends a previous result which dealt
with the case $d=3$.
