The aneroid barometer: its construction and use

by George W. Plympton

,

and the above expression for diminution may be written

.

If H₀ H₁ H₂ represent the pressures at the surfaces of the successive layers, we shall have

Multiplying these equations and suppressing common factors, we get

If h be taken at one foot then n would represent the number of feet vertically between two stations at which the barometric pressures are H_n and H₀ respectively.

By substituting for W₀ its value and taking logarithms we have