  The search for charged particle tracks in detectors with linear sensing
elements, such as wire chambers, strip silicon detectors etc., starts with
identification of straight track segments. The latter are deduced by
constructing all possible combinations of activated detector elements. In the
high multiplicity environment, with many activated detector elements, this
causes large combinatorics and significantly reduces the performance of the
track finding algorithms. In this report we trace this problem back to
determination of the parameters of a straight line build from a number of skew
lines (sensing elements of a detector) in space. Based on the intersection
points of two hyperbolas, we demonstrate an analytic solution in the case of
four skew detector elements.The procedure can also be applied as a first
approximation to the more general case of curved track finding.
