  This article looks at subconics of order $q$ of $PG(2,q^2)$ and characterizes
them in the Bruck-Bose representation in $PG(4,q)$. In common with other
objects in the Bruck-Bose representation, the characterisation uses the
transversals of the regular line spread $S$ associated with the Bruck-Bose
representation.By working in the Bose representation of $PG(2,q^2)$ in
$PG(5,q)$, we give a geometric explanation as to why the transversals of the
regular spread $S$ are intrinsic to the characterisation of varieties of
$PG(2,q^2)$.
