A Generalized Equation of the Vibrating Membrane Expressed On Curvilinear Coordi

Harry M Harry Melvin Shoemaker

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. , t for Z 2 = j ^ = n ^, % The roots for Fi = and F 2 = are identical with the corre- sponding roots of Zi = and X% = 0. These roots are the values of the parameter which give the nodal lines for this par- ticular mode of vibration.
Weber's two imaginary solutions for X = are, X, = ( V e) w [ 1 + i(- iko?) + |~~ (- iko?f (61), 1 - 3 ' 13

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