Why in hay bridge capacitor is used in series where in maxwell inductance capacitance bridge capacitor is used in parallel?

In the Hay bridge, the capacitor is placed in series to improve the sensitivity of the measurement, allowing for a more accurate determination of capacitance by minimizing errors from stray capacitance. Conversely, in the Maxwell inductance-capacitance bridge, the capacitor is used in parallel to facilitate the comparison of inductance and capacitance directly, enabling a more straightforward calculation of circuit parameters. The differing configurations serve the specific needs of the measurement techniques employed in each bridge design.