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On an approximate construction for a regular polygon
Published online by Cambridge University Press: 31 October 2008
Extract
My attention was drawn by an Art teacher to the following approximate construction for inscribing a regular polygon of n sides in a given circle, having diameter AB, centre O. Find C in AB so that AC: AB = 2: n, and construct the equilateral triangle ABD. If DC produced meets the circle in E, then AE is approximately a side of the required polygon.
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- Research Article
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- Copyright © Edinburgh Mathematical Society 1949
References
1 Morris, I. H., Geometrical Drawing for Art Students, p. 40Google Scholar; Longmans Green & Co.
2 The author has supplied two proofs, using coordinate and trigonometrical methods. Readers, or their pupils, may find this an interesting exercise.— Editor.