Nash, WRONG! WRONG WRONG WRONG! Actually, mostly wrong.
Ok, you have an airplane wing. Because the wind takes longer to get around the top, you get high pressure on the bottom. This creates lift.
But Sails aren't solid wings. It's like they are the top edge only. Now the wind should be hitting the sail just so it's parallel to the angle the front edge of the sail would make. This redirects the wind around the sail quickly. This creates lift much like an airplane wing. However, this lift isn't perpindicular to the sail, it's pointing forward a little.
Now we talk about simple vectors. If you're headed down wind, you only have two vectors. One forward vector which is the result of the wind pushing you. One aft vector which is a small amount of drag.
Now, if you rotate the sail around so the sail's force vector is pointing forward, the boat wants to move in this direction. So this is when we stick in a keel. This keel counteracts the lateral force from the sail. So you have a bunch of vectors.
Fsail is the force that the sail is pushing on the boat with. You can break this up into components of vertical and horizontal companents #1 and #3.
(Assuming bow of boat is straight up)
1.) Force from the sail to the left.
2.) Force from the Keel to the right.
3.) Force from the sail straight up.
4.) Force from the boat dragging straight down.
Now, #1 and #2 perfectly (should) counteract each other. So the boat moves forward with a little bit of drag.