论述横向切割头的几何设计，即外形轮廓和截齿空间布置，为计算机辅助设计切割头提供模型。用数学方法精确布置截齿位置，证明横向切割头最佳外形轮廓为回转抛物面。将引进的国外先进掘进机切割头，采用反求工程技术，作出误差修正，取得有价值的研究成果。 Discusses the geometrical design of the transverse cutting head, namely outline and cutting space layout, and provides the model for the computer aided design cutting head. Precisely arranging the position of the picks with mathematical methods proves that the best contour shape of the transverse cutting head is the rotating paraboloid. The introduction of foreign advanced roadheader cutting head, the use of reverse engineering, make error correction, and obtain valuable research results.