According to the distortion distribution and complementarity of cylindrical and pseudo-cylindrical projection, the authors put forward the concept of cylindrical and pseudo-cylindrical homeotheric projection, derived the cen- tral meridian equation, equator equation and non-central meridian equation of pseudo--cylindrical projection, adjust the interval of parallel and meridian and convergent degree of non-central neridian of psaudo-cylindrical projection respectively through coefficient K1, K2 and K3, ensure orthogonal of meridian in pseudo-cylindrical projection and joint parallel by coefficient K4. The design program and mode of cylindrical and pseudo-cylindrical homeotheric projection have been explained by an example. The proportion of area at 1.5 below and maximum angular distortion at 15° below between from south parallel 60° to north parallel 60° interval in this example, this cylindrical and pseudo-cylindrical homeetheric projection is suitable to be mathenatical base of small scale world map.%根据圆柱投影和伪圆柱投影的变形分布和互补性，提出了圆柱与伪圆柱组合投影概念。推导了中央经线方程，赤道方程和伪圆柱投影的非中央经线方程。通过系数K1,K2和K3分别调节纬线间隔、经线间隔和伪圆柱投影的非中央经线收敛度。用系数＆确保伪圆柱投影的经线与接合纬线正交。用一实例阐释了圆柱与伪圆柱组合投影的设计程序和方法。本例中，在南纬60°到北纬60°之间，面积比在1。5以下，最大角度变形在15°以下。这投影适于用作小比例尺世界地图的数学基础。
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