Alternative proofs for Kocik's geometric diagram for relativistic velocity addition
Sasane, A.
& Ufranovski, V.
(2016).
Alternative proofs for Kocik's geometric diagram for relativistic velocity addition.
Elemente der Mathematik,
71(3), 122-130.
https://doi.org/10.4171/EM/307
& Ufranovski, V.
(2016).
Alternative proofs for Kocik's geometric diagram for relativistic velocity addition.
Elemente der Mathematik,
71(3), 122-130.
https://doi.org/10.4171/EM/307
A geometric construction for the Poincar´e formula for relativistic addition of velocities in one dimension was given by Jerzy Kocik in Geometric Diagram for Relativistic Addition of Velocities, American Journal of Physics, volume 80, page 737, 2012. While the proof given there used Cartesian coordinate geometry, three alternative approaches are given in this article: a trigonometric one, one via Euclidean geometry, and one using projective geometry.