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Planes get lift by sending air downwards, it's simple Newtonian mechanics. There are two ways of looking at this, which are in a way the same thing.
A. Most wings have a convex top which forces the air to move faster round the outside of the circle. Whenever a fluid moves faster it has lower pressure, so the pressure difference from top to bottom of the wing manifests as lift.
And B. Wings usually have an upwards angle of attack to the direction of travel, I.e. the back of the wing is lower than the front.
Both a and b work by sending air downwards as the plane moves forwards. But a curved wing with a level angle of attack would still generate lift.
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