  We find new hypergeometric identities which, in a certain aspect, are
stron-ger than others of the same style found by the author in a previous
paper. The identities in Section \ref{section-pi} are related to some
Ramanujan-type series for $1/\pi$. We derive them by using WZ-pairs associated
to some interesting formulas by Wenchang Chu. The identities we prove in
Section \ref{section-pi2} are of the same style but related to Ramanujan-like
series for $1/\pi^2$.
