bisector.html

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<H1>bisector</H1>
<P>
(definition)

<P>
<strong>Definition:</strong>
For two elements e<sub>i</sub>and e<sub>j</sub>, the locus of points equidistant from e<sub>i</sub> and e<sub>j</sub>.  That is {p|d(p,e<sub>i</sub>)=d(p(e<sub>j</sub>)}, where d is some distance metric.
<P><em>Note:
For instance, if e<sub>i</sub> and e<sub>j</sub> are two points in the plane and we use <a href="euclidndstnc.html" tppabs="http://hissa.nist.gov/dads/HTML/euclidndstnc.html"><em>Euclidean distance</em></a>, the bisector is the perpendicular bisector of the line segment  e<sub>i</sub>,e<sub>j</sub>. <P> From Algorithms and Theory of Computation Handbook, page 20-26, Copyright &copy; 1999 by CRC Press LLC.</em>
<P>Author: <a href="terms.html#authorCRC-A" tppabs="http://hissa.nist.gov/dads/terms.html#authorCRC-A">CRC-A</a>

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<p>
Entry modified Fri Oct 15 10:03:32 1999.<BR>
HTML page formatted Wed Dec 22 09:34:49 1999.

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