#934 · Algebra · Linear equations

Symmetric Ratio Relation

If $\frac{x}{q + r - p} = \frac{y}{r + p - q} = \frac{z}{p + q - r}$ , shew that $(q - r) x + (r - p) y + (p - q) z = 0$ .

~8 minProof · checked by AIratiosymmetrylinear combination

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. I. Ratio, Examples I, No. 9

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