Osculating Circles

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For a given point on a function, a circle with tangency and matching curvature is known as either the circle of best fit or the osculating circle. Slide the marker along the x-axis to move the tangency point on the curve. Choose among polynomial, trigonometric, and logarithmic functions.
Contributed by: Abby Brown (March 2011)
Open content licensed under CC BY-NC-SA
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"Osculating Circles"
http://demonstrations.wolfram.com/OsculatingCircles/
Wolfram Demonstrations Project
Published: March 7 2011