Definition: The word 'antipole' refers to a point which, when compared with another, results in an equal or nearly equal distance. Definition: In mathematics, a term used in describing a mathematical object that has a special property based on the relationship between its position and direction relative to another position. For example, if you have two points P1 and P2 whose positions are represented by x coordinates (x1 and x2) and y coordinates (y1 and y2), then a term describing these points as "antipole" would be one where the difference between their x-coordinates is negative while the difference between their y-coordinates is also negative.