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The Lorentz factor is a particular case of a factor which depends on the angle between space and time, for example to find the $\gamma$ factor directly, we use the Pythagore theorem $\vec{c}^{2}t'^{2}=\vec{v}t'^{2}+\vec{c_{0}}^{2}t^{2}$$,\;\;|\vec{c}|=|\vec{c_{0}}|=c$ (the case where $\vec{c}_{0}\perp \vec{v} $), in the ca where it is $\,\vec{c}\perp \vec{v} \,$ we have $K=\frac{1}{\sqrt{1+\frac{v^{2}}{c^{2}}}}\,$(the observer approaches the event).