Abstract: This paper introduces algebra operation into drawing linear symbols on maps. Symbol patterns and axes of linear elements are regarded correspondingly as two kinds of components in two-component operation so that the process of allocating patterns is independent of various symbol patterns. Namely, one process can complate nearly all the linear symbols on maps. This process is based on transformations, which simplifies the definition of the two-component operation. Finaly, a method is put forward in this paper to handle the cross of linear symbols by means of the operation.