A weapon similar to a cross between a rapier
and a cavalry saber
. The blade is straight and has an edge all the way down one side and on the top 1/3 of the other, generally with a squared-off end, giving the blade a rectangular shape in profile.
Schlager fencing, called mensur, is still occasionally (and illegally) practiced among German collegiate fighting fraternities. For a first-hand account, see J. Christoph Amberger's Secret History of the Sword.