There are two well-known approaches for studying the conformal and projective foliations. The first one uses the classical definitions of these structures by means of Riemannian metric. The second approach defines conformal and projective foliations as foliations whose second order transversal bundle has either a conformal or a projective structure. Beyond this it seems natural to use them both in studying projective foliations as well. In this note the author introduces projective foliations by using the alternative approach to projective structures known as geometry of paths. This approach gives him the possibility to use the Bott-Nishikawa-Sato vanishing theorem and the projectively invariant representative forms of the real Pontryagin classes of manifolds and of transverse bundles of foliations.