To take or seize by the way; interrupt the passage or the course of; bring to a halt or a stop: as, to intercept a letter or a messenger; to intercept rays of light.To interrupt connection with or relation to; cut or shut off by interposition or interference; obstruct: as, to intercept one's view or outlook.To interrupt; break off; put an end to.In mathematics, to hold, include, or comprehend.n. That which is intercepted; specifically, in geometry, the part of a line lying between the two points at which it is intersected by two other lines, by a curve, by two planes, or by a surface.