Weather gauge, windward, and leeward explained

Can you clarify weather gauge, leeward, and windward?

Having the weather gauge generally means being windward of the enemy, with wind and weather helping speed and control of the battle's pace.

The weather gauge is the position to windward of an opponent, leaving the opposing force to leeward. Wind and weather can improve the windward force's speed and freedom of movement. That advantage helps it dictate the pace and decide when to press an engagement. The distinction is essential when following tactical choices in age-of-sail battle accounts.