Vladimir Varićak

“ For ordinary velocities, the results calculated according to the relativity formulas, practically do not differ from these calculated according to the ordinary mechanical expressions. Also for distances of ordinary lengths, the calculations according to the Lobachevskian geometry do not differ from the euclidean calculations. In relativity theory there exists an absolute speed, in Lobachevskian geometry there exists an absolute length.
In relativity theory all bodies in motion are subjected to a certain deformation. ”

“ The analogies that exist between relativity theory and Lobachevskian geometry are in any case interesting. The formulas of recent mechanics for are reduced to the formulas of Newtonian mechanics. Similarly also the Lobachevskian geometry, if we take the so called radius of curvature as infinite, goes over into the euclidean geometry. ”

“ If we take , then the straight line upon which that point is moving, encloses the angle λ with the x-axis. However, if c remains finite and equal to the propagation velocity of light in empty space, then we find the direction coefficients of that straight line as:
If u is the hypotenuse and is an acute angle in the right angled Lobachevskian triangle, then is the second acute angle. It will be the smaller, the greater the translation velocity of S'. For v = c we have .
We define s as the extension of a stationary electron in the direction of the x-axis. ”