The pain in his chest couldn't **equate** with the pain and distress shooting through him like cold fire.

(iii.) Another result is that we can **equate** coefficients of like powers of x in two multinomials obtained from the same expression by different methods of expansion.

If we **equate** these to zero we get the co-ordinates of the instantaneous centre.

How to **equate** this foreign civilizing race from Asia with the Semitic elements in the ancient Egyptian speech we do not yet know.

Assuming then 01 to have the coefficients B1, B2,...B,, and f l the coefficients A 1, A21...A,n, we may **equate** coefficients of like powers of x in the identity, and obtain m+n homogeneous linear equations satisfied by the m+n quantities B1, 2, ...B n, A 1, A 2, ...A m.

To find the border curve of equilibrium between the two states, giving the saturation pressure as a function of the temperature, we have merely to **equate** the values of G and G".