Variation of Quadratic Sums

If $x$ varies as $y$ , prove that $x^{2} + y^{2}$ varies as $x^{2} - y^{2}$ .

~5 minProof · checked by AIDirect variationProportionality

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. III. Variation, Examples III, No. 8

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