Local Linear Scale Factors in Map Projections of an Ellipsoid

The main problem in cartography is that it not possible to map/project/transform a spherical or ellipsoidal surface into plane without distortions. distortions of areas, angles, and/or distances are immanent all maps. It known scale changes from point point, and at certain points, the usually depends on direction. local linear factor c one most important indicators distortion distribution theory map projections. find out values directions coordinate axes x y immediately definition c. To solve this problem, paper, we derive new formulae for calculation rotational ellipsoid. In addition, formula computing any direction defined by dx dy. We also considered position magnitude extreme derived