Area of Triangles Formed by Tangents on the Reciprocal Curve

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The axes intercepts of a tangent drawn at a point on the hyperbola together with the origin create a right triangle. For a fixed coefficient defining the curve, this triangle has the same area for any point chosen.
Contributed by: Jamie Wickham-Jones (March 2011)
Open content licensed under CC BY-NC-SA
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"Area of Triangles Formed by Tangents on the Reciprocal Curve"
http://demonstrations.wolfram.com/AreaOfTrianglesFormedByTangentsOnTheReciprocalCurve/
Wolfram Demonstrations Project
Published: March 7 2011