This research is devoted to the development of methods for presenting instant geographical and positional information on personal computers for moving users, specially users who need to carry a comprehensive map with them to find the main paths they need. On the other hand, the user needs a small scale map in order to reach the final destination on the path.
A solution that is intended to fulfil this practical need in maps is to create a variable-scale map, so that this map changes scales continuously in order to find the user's position, and must first be set within the range of large scales.
Regarding the relations used for a variable-scale map, the explanation of characteristics of these relations are discussed.
 The importance of the article and the extension of research shows that variable-scale maps have many advantages in personal computers and mobile systems such as mobile phones.