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The base edge bevel is the degree of upward ski or snowboard edge angle away from the snow surface.

Base edge bevel allows the ski or snowboard to skid at the beginning of the turn, prior to hooking-up or engaging a turn. The result is that the ski or snowboard is less likely to get caught-up on the snow and throw the rider into the woods.

Too much base edge bevel can result in skidding a turn or not having enough edge hold on the firm, hard snow surfaces resulting in a yard sale.
I love turning screws as a ski tech, but that Edge Head bitching about his base edge bevel not giving him enough edge hold is enough to piss off the Pope.
by The Snow Prophet May 13, 2010