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On an approximate construction for a regular polygon

Published online by Cambridge University Press:  31 October 2008

S. A. Scott
S. A. Scott
Affiliation:
49 Sicily Park, Finaghy, Belfast.
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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.

Type
Research Article
Information
Edinburgh Mathematical Notes , Volume 37 , January 1949 , pp. 25
Copyright
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.