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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 106 - November 2022

Notes

106.06 An optimisation problem involving right circular cones

106.25 Three discs for the incentre

106.07 A function-based proof of the harmonic mean − geometric mean − arithmetic mean inequalities

106.39 Visual proofs of sums of powers of positive integers

106.08 Proof without words: the Cauchy-Schwarz inequality using analytic geometry

106.40 The law of tangents and the formulae of Mollweide and Newton

106.26 The nested polygons problem revisited

106.27 An interesting application of Ptolemy's inequality

106.09 Observations on a proof without words

106.41 Infinitely many series arising from cos2x + sin2x = 1

106.28 Inequalities involving the inradius and altitudes of a triangle

106.42 Another proof of Rolle’s Theorem

106.10 PWW: Trigonometric inequality

106.29 An improvement on the Garfunkel-Bankoff inequality

106.43 Another proof of ex/y being irrational

106.11 On a synthetic proof of Bottema's theorem

106.44 Another proof of the irrationality of Np/q

106.30 Threshold functions and the birthday paradox

106.12 A new proof of the n-dimensional Pythagorean theorem

106.13 A triangle inequality

The Mathematical Gazette

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Volume 106 - November 2022

Notes