  The $WW$ production is the primary channel to directly probe the triple gauge
couplings. We first analyze the $e^+ e^- \rightarrow W^+ W^-$ process at the
future lepton collider, China's proposed Circular Electron-Positron Collider
(CEPC). We use the five kinematical angles in this process to constrain the
anomalous triple gauge couplings and relevant dimension six operators at the
CEPC up to the order of magnitude of $10^{-4}$. The most sensible information
is obtained from the distributions of the production scattering angle and the
decay azimuthal angles. We also estimate constraints at the 14 TeV LHC, with
both 300 fb$^{-1}$ and 3000 fb$^{-1}$ integrated luminosity from the leading
lepton $p_T$ and azimuthal angle difference $\Delta \phi_{ll}$ distributions in
the di-lepton channel. The constrain is somewhat weaker, up to the order of
magnitude of $10^{-3}$. The limits on the triple gauge couplings are
complementary to those on the electroweak precision observables and Higgs
couplings. Our results show that the gap between sensitivities of the
electroweak and triple gauge boson precision can be significantly decreased to
less than one order of magnitude at the 14 TeV LHC, and that both the two
sensitivities can be further improved at the CEPC.
