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JOURNALS // Mathematical Education // Archive

Math. Ed., 2025 Issue 3(115), Pages 9–10 (Mi mo913)

Students and teachers of secondary school

Meridogon, or a mechanism that allows to divide an arbitrary angle into an arbitrary number of parts

D. D. Bavrin

Novosibirsk State University

Abstract: A natural, but not always obvious, approach to solving some school problems of planimetry is to move into three-dimensional space. This article discusses a method for solving a two-dimensional problem with a parameter using a mechanism in three-dimensional space. Using two cones with different radii, the author solves the problem of dividing an arbitrary angle into an arbitrary number of equal parts.

UDC: 514.112 514.113



© Steklov Math. Inst. of RAS, 2026