An examination of the direct method of transformation. Prior to the general availability of computers, the National Mapping Council of Australia published a direct coordinate zone-to-zone transformation method using tables. The continued inclusion of this method in current modern text is puzzling and the author has tried to appreciate the rationale. The most interesting point is the assumptions of the method, and the accuracy of the results. The modern method advocated is to convert UTM coordinates to geographic, then back to UTM in the adjacent zone. Prior to computers this was computationally intensive. Both methods limit the transformation to within 30′ of the overlapping zone boundary.