  Although many papers have appeared on the theory of photographing
relativistically moving objects, pioneered by the classic work of Penrose and
Terrell, three problems remain outstanding. (1) There does not seem to exist a
general formula which gives the projection of a relativistically moving object,
applicable to any object no matter how complicated, on a two-dimensional plane
in conformity with Terrell's observation. (2) No resolution seems to have been
provided for the associated so-called `train' paradox. (3) No analytical
demonstration seems to have been offered on how the Lorentz contraction may be
actually detected on a photograph. This paper addresses all of these three
problems. The analysis does not require any more than trigonometry and
elementary differentiation.
