## Three Tangents, Three Chords in Ellipse

The applet below offers an illustration to a statement which is a particular case of Pascal's Hexagon Theorem: given a triangle T_{1}T_{2}T_{3} inscribed in a non-degenerate conic. Let t_{1}, t_{2}, t_{3} be the tangents to the connic at points T_{1}, T_{2}, T_{3}. Then the points of intersection of T_{i}T_{j} with t_{k}

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How does Pascal's theorem apply? Let the vertices of an inscribed hexagon coalesce in adjacent pairs producing a triangle with three sides of the hexagon degenerating into the tangents at the vertices of the so obtained triangle.

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