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The Mathematical Gazette

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Published on behalf of The Mathematical Association

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The Mathematical Gazette
ISSN: 0025-5572

EISSN: 2056-6328

URL: /core/journals/mathematical-gazette
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The Mathematical Gazette

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Volume 89 - March 2005

Notes

89.12 A moments of inertia proof of Euler's formula for OI2

89.13 More on railway station arches

89.41 The golden ratio—the right triangle—and the arithmetic, geometric, and harmonic means

89.64 Digital roots of Mersenne primes and even perfect numbers

89.65 A simple method for finding tangents to polynomial graphs

89.42 Donofrio’s theorem

89.14 Back to the Euler line

89.43 Some convergent real sequences related to Euler’s constant

89.66 A short remark on difference equations

89.15 Yet more heuristics

89.16 A polygon inequality

89.67 An elementary derivation of Euler’s series for the arctangent function

89.44 A curious identity proved by Cauchy’s integral formula *

89.45 A binomial identity, via derangements

89.68 Which is bigger: e(eπ) or π(πe)?

89.17 Flexible quadrilaterals

89.18 Converse of a property of right triangles

89.69 The inequality of means using a difference equation

89.46 Geometric-mean sequences

89.47 The generalised coin weighing problem

The Mathematical Gazette

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Volume 89 - March 2005

Notes