Kürschak’s tile-Reference-Cited by-同舟云学术

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Kürschak’s tile

Published:1978-10 Issue:421 Volume:62 Page:192-196
ISSN:0025-5572
Container-title:The Mathematical Gazette
language:en
Short-container-title:Math. Gaz.

Author:

Alexanderson G. L.,Seydel Kenneth

Abstract

Why is such a nice result rarely, if ever, found in texts? Perhaps because it is usually necessary to use trigonometry to calculate the areas of regular polygons. A regular n-gon inscribed in a unit circle has an area n times that of the isosceles triangle having an edge as base and the centre as apex; that is,area of regular n-gon = n × (1/2. 1.1. sin (360/n)°) = 1/2n sin (360/n)°.

Publisher

JSTOR

Subject

General Mathematics

Reference5 articles.

1. Boltyanskii V. G. , Equivalent and equidecomposable figures. Heath D. C. (1963).

2. Über das regelmässige Zwölfeck;Kürschak;Math, naturw. Ber. Ung,1898

3. Problems and Theorems in Analysis

4. Approximating lengths, areas and volumes by polygons and polyhedra;Schoenberg;Delta,1977

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Proof Without Words: The Area of a Regular Dodecagon;The College Mathematics Journal;2015-01

2. Bibliography;Methods of Geometry;2011-03-01

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