$\begin {array} {1 1} (1)\;\large\frac{L_1\alpha_1-L_2 \alpha_2}{L_1+L_2} & \quad (2)\;\large\frac{L_1\alpha_1+L_2 \alpha_2}{L_1+L_2} \\ (3)\;\sqrt{\alpha_1\: \alpha_2} & \quad (4)\;\large\frac{\alpha_1+\alpha_2}{2} \end {array}$

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