  A multiplicatively closed, horizontal $n$-plane field $D$ on a Lie groupoid
$G$ over $M$ generalizes to intransitive geometry the classical notion of a
Cartan connection. The infinitesimalization of the connection $D$ is a Cartan
connection $\nabla $ on the Lie algebroid of $G$, a notion already studied
elsewhere by the author. It is shown that $\nabla $ may be regarded as
infinitesimal parallel translation in the groupoid $G$ along $D$. From this
follows a proof that $D$ defines a pseudoaction generating a pseudogroup of
transformations on $M$ precisely when the curvature of $\nabla $ vanishes. A
byproduct of this analysis is a detailed description of multiplication in the
groupoid $J^1 G$ of one-jets of bisections of $G$.
