Symmetrical

A symmetrical is the set of points that are equidistant from two geometric objects .

Special cases are the line symmetrals (vertical lines) as symmetrals of two points and the angle symmetrals (bisector) as symmetrals of two straight lines.

The symmetry of three points is the center of the circumference , the symmetry of three straight lines is the center of the inscribed circle . This also applies to more than three points or straight lines, in which case the perimeter or inscribed circle does not have to exist.

literature

• Karl Menger, Bert Schweizer, Abe Sklar, Karl Sigmund, Peter Gruber, Leopold Butterer, Edmund Hlawka, Ludwig Reich: Selecta Mathematica: Volume 2 . Springer, Vienna 2003, ISBN 3-211-83834-1 , p. 469 ( limited online version (Google Books) )