Let - - - - - and Q 1- -1- 0 be two points such that the mid-point of PQ is R x- y- z - If x is the A-M- of - and - y is the G-M- of - and - rand z is the H-M- of - and - then

Since R is the midpoint of PQ, we have nbsp; 2x = α + 1, 2y = β 1, 2z = γ Also, nbsp; 2x = α + β nbsp;since nbsp; x nbsp;is the A.M. o ...

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Equal Angles Subtend Equal Sides

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Let $(α, β, γ)$ and $Q (1, - 1, 0)$ be two points such that the mid-point of $P Q$ is $R (x, y, z)$ . If $x$ is the A.M. of $α$ and $β$ , $y$ is the G.M. of $β$ and $γ$ rand $z$ is the H.M. of $γ$ and $α$ , then

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