As an immediate consequence of this hypothesis we have from (28)
K = K0σ², (49)
T = T0σ², (50)
where K0, T0 are the same for all bodies.
But the most interesting results are those which Young (Works, vol. i. p. 463) deduced relative to the interfacial tensions of three bodies. By (37), (48),
T′12 = σ1σ2T0; (51)
so that by (47), (50),
T12 = (σ1 − σ2)² T0 (52)
According to (52), the interfacial tension between any two bodies is proportional to the square of the difference of their densities. The densities σ1, σ2, σ3 being in descending order of magnitude, we may write
T31 = (σ1 − σ2 + σ2 − σ3)² T0 = T12 + T23 + 2(σ1 − σ2) (σ2 − σ3)T0;