Document Zbl 1032.51017

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On the impossibility of one ruler-and-compass construction. (English) Zbl 1032.51017

Mat. Vesn. 48, No. 3-4, 73-75 (1996).

The author studies the problem of determining all integers \(n\geq 4\) for which there exists the ruler-and-compass construction of the cyclic polygon whose sides are equal to given \(n\) segments. Impossibility of such a construction for \(n=5\) is proved.

Reviewer: Milica Stojanović (Beograd)

MSC:

51M15

Geometric constructions in real or complex geometry

Keywords:

cyclic polygon; ruler-and-compass construction

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