We use the gradient of the energy-integrated angle resolved photoemission.
(ARPES) intensity in order to define precisely the Fermi surface (FS) in BS
CCO superconductors. We show that, independent of the photon energy, the FS
is a hole barrel centered at (pi, pi). Then, the superconducting gap along
the FS is precisely determined from ARPES measurements on overdoped and un
derdoped samples of Bi2212. As the doping decreases, the maximum gap increa
ses, but the slope of the gap near the nodes decreases. Though consistent w
ith d-wave symmetry, the gap with underdoping cannot be fit by the simple c
os(k(x)) - cos(k(y)) form. A comparison of our ARPES results with available
penetration depth data indicates that the renormalization of the linear T
suppression of the superfluid density at low temperatures due to quasiparti
cle excitations around the d-wave nodes is large and doping dependent.