Proportion Identity Proof Three

If $a : b = c : d$ , prove that $a - c : b - d = a^{2} + c^{2} : b^{2} + d^{2}$ .

~8 minProof · checked by AIProportionRadicals

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. II. Proportion, Examples II, No. 6

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