Descartes' theorem | Wikipedia audio article
Channel: wikipedia tts
Date: 30/12/2018

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Descartes%27_theorem


00:00:27 1 History
00:01:34 2 Definition of curvature
00:03:30 3 Special cases
00:04:11 4 Complex Descartes theorem
00:11:47 5 Generalizations
00:14:50 6 See also
00:16:38 7 Notes
00:17:04 8 External links
00:17:13 External links



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SUMMARY
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In geometry, Descartes' theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic equation. By solving this equation, one can construct a fourth circle tangent to three given, mutually tangent circles. The theorem is named after René Descartes, who stated it in 1643.