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Steinitz's Lemma


If, in a plane or spherical convex polygon ABCDEFG, all of whose sides AB, BC, CD, ..., FG (with the exception of AG) have fixed lengths, one simultaneously increases (decreases) the angles between these sides, then the length of the variable side increases (decreases).


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References

Cromwell, P. R. "Steinitz' Lemma." In Polyhedra. New York: Cambridge University Press, pp. 235-237, 1997.

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Steinitz's Lemma

Cite this as:

Weisstein, Eric W. "Steinitz's Lemma." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SteinitzsLemma.html

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