Can someone point me to a modern treatment of the Veblen-Young characterization of projective spaces of dimension greater than $2$ as $P(V)$ for some vector space $V$?

[Added: see here for a statement of the Veblen-Young Theorem. The article includes a reference to the two-volume work of Veblen and Young in which the result was first proved. --PLC]

A precise reference to the original work where this appeared would also be very useful!