Elements of natural philosophy (Volume 2-3) . Consequence; ax 2a[_x cos A1 - A 2 (26) Reduction; Value ofarbitraryconstant; and Equation (24) reduces to , A sin A + sin A , Af + Atan A = -_ — — tan cos A + cos A 2 or, A = Af + A 2 When A - A = 0, then will Eq. (26) give (27). Supposition; a x 2af x , and A = A = A ; Illustration. that is, the intensity of soundin the resultant wave will bedouble that in either of theequal component waves; andthe greatest displacementwill occur at the same timeand place in the componentand resultant waves. Fig. ELEMENTS OF ACOUSTICS. 67 If a! and a continu
Elements of natural philosophy (Volume 2-3) . Consequence; ax 2a[_x cos A1 - A 2 (26) Reduction; Value ofarbitraryconstant; and Equation (24) reduces to , A sin A + sin A , Af + Atan A = -_ — — tan cos A + cos A 2 or, A = Af + A 2 When A - A = 0, then will Eq. (26) give (27). Supposition; a x 2af x , and A = A = A ; Illustration. that is, the intensity of soundin the resultant wave will bedouble that in either of theequal component waves; andthe greatest displacementwill occur at the same timeand place in the componentand resultant waves. Fig. ELEMENTS OF ACOUSTICS. 67 If a! and a continue equal, and we make A—A=l%0°, supposition;then will Equation (26), give a - = o; x ,c\r Consequence; [2b).
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