#960 · Algebra · Linear equations

Mean proportional algebraic relation

If $b$ is a mean proportional between $a$ and $c$ , prove that $\frac{a ^{2} - b ^{2} + c ^{2}}{a ^{- 2} - b ^{- 2} + c ^{- 2}} = b^{4}$ .

~10 minProof · checked by AImean proportionalexponents

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. II. Proportion, Examples II, No. 11

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