  Mathematical properties of the historical GDP/cap distributions are discussed
and explained. These distributions are frequently incorrectly interpreted and
the Unified Growth Theory is an outstanding example of such common
misconceptions. It is shown here that the fundamental postulates of this theory
are contradicted by the data used in its formulation. The postulated three
regimes of growth did not exist and there was no takeoff at any time. It is
demonstrated that features interpreted as three regimes of growth represent
just mathematical properties of a single, monotonically-increasing
distribution, indicating that a single mechanism should be used to explain the
historical economic growth. It is shown that using different socio-economic
conditions for different perceived parts of the historical GDP/cap data is
irrelevant and scientifically unjustified. The GDP/cap growth was indeed
increasing slowly over a long time and fast over a short time but these
features represent a single, uniform and uninterrupted growth process, which
should be interpreted as whole using a single mechanism of growth.
