  The study of the motion of photons around massive bodies is one of the most
useful tools to know the geodesic structure associated with said gravitational
source. In the present work, different possible paths projected in an invariant
hyperplane are investigated, considering five-dimensional Reissner-Nordstr\"om
anti-de Sitter black hole. Also, we study some observational test such as the
bending of light and the Shapiro time delay effect. Mainly, we found that the
motion of photons follows the hippopede of Proclus geodesic, which is a new
type of trajectory of second kind, being the Lima\c{c}on of Pascal their
analogue geodesic in four-dimensional Reissner-Nordstr\"om anti-de Sitter black
hole.
