show that the angle between the tangents to the ellipse b^2x^2+a^2y^2=a^2b^2 and the circles x^2+y^2=ab at their point of intersection is tan^-1 ((a-b)/(ab)^(1/2)).

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show that the angle between the tangents to the ellipse b^2x^2+a^2y^2=a^2b^2 and the circles x^2+y^2=ab at their point of intersection is tan^-1 ((a-b)/(ab)^(1/2)).

show that the angle between the tangents to the ellipse b^2x^2+a^2y^2=a^2b^2 and the circles x^2+y^2=ab at their point of intersection is tan^-1 ((a-b)/(ab)^(1/2)).

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show that the angle between the tangents to the ellipse b^2x^2+a^2y^2=a^2b^2 and the circles x^2+y^2=ab at their point of intersection is tan^-1 ((a-b)/(ab)^(1/2)).

show that the angle between the tangents to the ellipse b^2x^2+a^2y^2=a^2b^2 and the circles x^2+y^2=ab at their point of intersection is tan^-1 ((a-b)/(ab)^(1/2)).

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