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    Complex Descartes Circle Theorem

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    Date
    2014
    Author
    Northshield, Sam
    Publisher
    American Mathematical Monthly
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    Abstract
    We present a short proof of Descartes Circle Theorem on the curvature-centers of four mutually tangent circles. Key to the proof is associating an octahedral configuration of spheres to four mutually tangent circles. We also prove an analogue for spheres.
    Description
    This article has been published in the December 2014 issue of American Mathematical Monthly, published by Taylor & Francis, Ltd. on behalf of the Mathematical Association of America: http://www.jstor.org/stable/10.4169/amer.math.monthly.121.10.927
    URI
    http://hdl.handle.net/1951/69912
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    • Mathematics Faculty Work [20]

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