# Polar Coordinate System

Robert P. Munafo, 1999 Feb 2.

Polar coordinates, based on an angle and a radius, are used as an alternative to simple X and Y coordinates when dealing with certain applications that require specifying locations on the Complex plane.

Consider a point P = a + bi shown here on the complex plane:

: b .P : ..'' : ..'' .........+.::.........a.. :
The distance from the origin to P is the radius and is also the
absolute value of the complex number P. The absolute value,
signified by P, is sqrt(a^{2} + b^{2}).

%%discuss effects of multiplication on angle and radius, etc.

.P. A. ..' ``.. ``.. ..' ``.. ``.. ..'T .........:Q `+'''''''''''' A = P-Q (sin T) (|P|+|Q|)/2From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2024.

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This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 1999 Aug 17. s.27