Complex sentence: An ovoid in the finite projective geometry PG (3,q), is a set of "q" 2 + 1 points such that no three points are collinear and at each point all the tangent lines to the set lie in a single plane.
Split into simpler sentences: An ovoid in the finite projective geometry PG (3,q), is a set of "q" 2 + 1 points such that no three points are collinear. At each point of an ovoid all the tangent lines to the ovoid lie in a single plane.