  We revisit construction of the Atiyah-Hitchin manifold in the generalized
Legendre transform approach. This is originally studied by Ivanov and Rocek and
is subsequently investigated more by Ionas, in the latter of which the explicit
forms of the K\"ahler potential and the K\"ahler metric are calculated. There
is a difference between the former and the latter. In the generalized Legendre
transform approach, a K\"ahler potential is constructed from the contour
integration of one function with holomorphic coordinates. The choice of the
contour in the latter is different from the former's one, whose difference may
yield a discrepancy in the K\"ahler potential and eventually in the K\"ahler
metric. We show that the former only gives the real K\"ahler potential, which
is consistent with its definition, while the latter yields the complex one. We
derive the K\"ahler potential and the metric for the Atiyah-Hitchin manifold in
terms of holomorphic coordinates for the contour considered by Ivanov and
Ro\v{c}ek for the first time.
