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Two triangles ABC and A′B′C′ in the plane are perspective from a point if the lines ... Thus |YZ|=|DE|, and triangle XYZ satisfies the required conditions.
12059. Proposed by George Stoica, Saint John, NB, Canada. Let n be an integer greater than 1, and let R be the ring of polynomials in the variables x1 , . . . , xn with real coefficients. Let S be the ideal in R generated by the elementary symmetric polynomials e1 , . . . , en , where X ek (x1 , . . . , xn ) = xi1 · · · xik 1≤i1