One way to Lorentz's Transformations

There are many papers devoted to derivation of Lorentz Transformations (LT). Many people have pro posed alternative derivations. Their analysis allows looking at LT and their consequences from different standpoints. At the same time it is important to choose the simplest and general way of derivation of LT for textbooks, to make them more accessible to a wide circle of laymen interested in the elativistic physics and to leave the W.Voight’s, J.Larmor’s, G.Lorentz’s, A.Einstein’s and other derivations for the history. A short, clear and simple derivation of generalized LT based on the Principle of Relativity and unknown dependence of the clocks tick rate (time dilation) on their velocity is presented in this paper.