Morley's Pursuit of Incidence
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|Cut the Knot!, Alexander Bogomolny|
|With all the geometric context of his theory (applets are provided for explorations), Morley's method is purely algebraic, founded on the theory of complex numbers. Curves are mappings x = f(t) from the unit circle. x = X + iY, where X and Y are the plane Cartesian coordinates. y = X - iY is the conjugate of x, and together x,y are called the circular coordinates in the plane. The short term for the complex numbers t on the unit circle is turn... An interactive column for MAA Online that uses a Java applet to simulate a puzzle or mathematical problem, one not stated directly since the applet is intended to be such that the right answer to an as yet unstated problem should be easy to surmise. Also at http://www.cut-the-knot.org/triangle/Morley/CenterCircle.html.|
|Levels:||High School (9-12), College|
|Resource Types:||Problems/Puzzles, Articles, Web Interactive/Java|
|Math Topics:||Graphing Equations, Imaginary/Complex Numbers, Euclidean Plane Geometry|
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