Bernoullis
law
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According to Bernoullies law, air has to flow accros the airfoil of a plane for it to lift above the ground.  The airfoil is the shape of the wings.  Airfoil designs have changes over the years. 
In this picture you can see the evolution of the airfoil.  According to Bernoullies Law, the last 2 would make more lift then the rest
The law also states that if there is a slow flow of air or liquid on the surface of an obejct,there is increased pressure.  When there is a fast flow of air or liquide, there is less pressure.
Airfoil
The way the airfoil works is that the top part has a larger surface then the lower part.  This make the wind travel faster on the upper surface then the lower suface.  This makes the plane lift up into the air.