Definition:Opposite


 * Opposite (in a Polygon):
 * The opposite side (or angle) to a given side is that side (or angle) which has the same number of sides between it and the side in question.
 * The opposite side (or angle) to a given angle is that side (or angle) which has the same number of sides between it and the angle in question.


 * Opposite (in a Triangle): The side of a triangle which is not one of the sides adjacent to a particular angle is referred to as its opposite. Thus, each angle has an opposite side, and each side has an opposite angle.


 * The Opposite Group to a group $$\left({G, \circ}\right)$$ is the group $$\left({G, *}\right)$$ defined such that $$\forall a, b \in G: a \circ b = b * a$$.