  Zbigniew Oziewicz was a pioneer of the 4D space-time approach to covariant
relative velocities. In the 1980s (according to private correspondence) he
discovered two types of 4D relative velocities: binary and ternary, along with
the rules for adding them. They were first published in conference materials in
2004, and the second time in a peer-reviewed journal in 2007. These physically
logical and mathematically precise concepts are so subtle that Oziewicz's
numerous preprints have yet to receive the recognition they deserve.
  This work was planned to be a more review, but a thorough review of the
little-known results was made in an original synthetic manner with numerous
generalizations. The Part I presents the Oziewicz-\'Swierk-Bol\'os (and
Matolsci or Bini-Carini-Jantzen) binary relative velocity and the
Oziewicz-Ungar-Dragan (also Celakoska-Chakmakov-Petrushevski on the basis of
Urbantke, as well as Wyk) ternary relative velocity. The Einstein-Oziewicz and
Einstein-Minkowski velocities, which are a four-dimensional generalization of
Einstein velocities addition, also have a ternary character. This also applies
to Oziewicz-Minkowski relative velocity, which is a time-like equivalent
(generalization) of the canonical ternary velocity. It turns out that the
Lorentz transformation of velocity itself is already ternary anchored. This
fact is explicitly revealed by the manifestly covariant Lorentz transformation
of velocity, which is the main tool of the work.
