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The condition that one of the straight lines given by the equation `a x^2+2h x y+b y^2=0` may coincide with one of those given by the equation `a^(prime)x^2+2h^(prime)x y+b^(prime)y^2=0` is `(a b^(prime)-a^(prime)b)^2=4(h a^(prime)-h^(prime)a)(b h^(prime)-b^(prime)h)` `(a b^(prime)-a^(prime)b)^2=(h a^(prime)-h^(prime)a)(b h^(prime)-b^(prime)h)` `(h a^(prime)-h^(prime)a)^2=4(a b^(prime)-a^(prime)b)(b h^(prime)-b^(prime)h)` `(b h^(prime)-b^(prime)h)^2=4(a b^(prime)-a^(prime)b)(h a^(prime)-h^(prime)a)`

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