Picture a big boat in the water. The boat has a tall stick called a mast that stands straight up. The mast has a piece of cloth called a sail attached to it. The sail catches the wind and helps move the boat forward.
Now, imagine a boat that has a different kind of sail called a lateen sail. Instead of being a big rectangle like most sails, it's shaped like a triangle. The bottom edge of the triangle is attached to a long pole called a yard. The yard is angled across the top of the mast so that the sail slants to one side.
When the wind blows against the lateen sail, it pushes the boat forward in the direction of the angled side. This helps the boat move faster and more smoothly, especially when sailing in the wind coming from behind or the side.
Overall, the lateen rig is a way to set up a boat with a different kind of sail that can help it catch the wind in a more efficient way.