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Difference between revisions of "Diagonal"

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The segment of the straight line connecting two vertices of a polygon (polyhedron) which do not lie on the same side (face). If the number of vertices of a polygon is <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d031/d031460/d0314601.png" />, the number of its diagonals is <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/d/d031/d031460/d0314602.png" />.
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The segment of the straight line connecting two vertices of a polygon (polyhedron) which do not lie on the same side (face). If the number of vertices of a polygon is $n$, the number of its diagonals is $n(n-3)/2$.

Latest revision as of 22:22, 11 April 2014

The segment of the straight line connecting two vertices of a polygon (polyhedron) which do not lie on the same side (face). If the number of vertices of a polygon is $n$, the number of its diagonals is $n(n-3)/2$.

How to Cite This Entry:
Diagonal. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Diagonal&oldid=14241
This article was adapted from an original article by E.V. Shikin (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article