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Show That the Curves $x ^ { 3 } - 3 x y ^ { 2 } + y = 0$

Question 234

Essay

Show that the curves $x ^ { 3 } - 3 x y ^ { 2 } + y = 0$ and $3 x ^ { 2 } y - y ^ { 3 } - x = 4$ are orthogonal.

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