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if q is the mean proportional between p ...

if `q` is the mean proportional between `p` and `r`, prove that :
`p^(2) - q^(2) + r^(2) = q^(4) ((1)/(p^(2))-(1)/(q^(2)) + (1)/(r^(2)))`.

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  14. if a : b = e : d, show that : 3a + 2b : 3a - 2b = 3c + 2d : 3c - 2d.

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  17. if a : b = c : d prove that : (a^(2) + ac + c^(2)) : (a^(2) - ac ...

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