If `e and e\'` are the eccentricities of the hyperbola `x^2/a^2 - y^2/b^2 = 1` and its conjugate hyperbola, prove that `1/e^2 + 1+e\'^2 = 1`
If `e and e|'` are the eccentricities of the hyperbola `x^2|a^2 - y^2|b^2 = 1` and its conjugate
If `e and e\'` are the eccentricities of the hyperbola `x^2/a^2 - y^2/b^2 = 1` and its conjugate hyperbola, prove that `1/e^2 + 1+e\'^2 = 1`
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