  The ruled surfaces, i.e., surfaces generated by one parametric set of lines,
are widely used in the~field of applied geometry. An~isophote on a surface is a
curve consisting of surface points whose normals form a constant angle with
some fixed vector. Choosing an angle equal to $\pi/2$ we obtain a special
instance of a~isophote -- the so called contour curve. While contours on
rational ruled surfaces are rational curves, this is no longer true for the
isophotes. Hence we will provide a formula for their genus. Moreover we will
show that the only surfaces with a~rational generic contour are just rational
ruled surfaces and a one particular class of cubic surfaces. In addition we
will deal with the reconstruction of ruled surfaces from their contours and
silhouettes.
