The thermodynamic square can also be used to find the first-order derivatives in the common Maxwell relations. The following procedure should be considered:
# Looking at the four corners of the square and make a  shape with the quantities of interest.
# Read the  shape in two different ways by seeing it as L and ⅃. The L will give one side of the relation and the ⅃ will give the other. Note that the partial derivative is taken along the vertical stem of L (and ⅃) while the last corner is held constant.
# Use L to find .
# Similarly, use ⅃ to find . Again, notice that the sign convention affects only the variable held constant in the partial derivative, not the differentials.
# Finally, use above equations to get the Maxwell relation: .
By rotating the  shape (randomly, for example by 90 degrees counterclockwise into a  shape) other relations such as:
can be found.