We have incorporated an aluminum single electron transistor directly into t
he defining gate structure of a semiconductor quantum dot, permitting preci
se measurement of the dot charge. Voltage biasing a gate draws charge from
a reservoir into the dot through a single point contact. The dot charge inc
reases continuously for large point contact conductance and in single elect
ron steps with the contact nearly closed, and we measure the corresponding
capacitance line shapes. The line shapes are not typical of lifetime or the
rmal broadening but fit well to predictions of perturbation theory. [S0031-
9007(98)08102-2].