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The Mathematical Gazette

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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 - Issue 516 - November 2005

Notes

89.65 A simple method for finding tangents to polynomial graphs

89.66 A short remark on difference equations

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

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

89.69 The inequality of means using a difference equation

89.70 A trigonometric intersection

89.71 A cotangent inequality for two triangles

89.72 Some relations between arctangent sums and Pell’s equations r2 = pq2 ± 1

89.73 Ratio and root tests

89.74 More on a generalisation of the limit definition of the Euler constant

89.75 Generalising a recurrence relation

89.76 Measuring e with a piece of string—or putting the e into catenary

89.77 Seeded tournaments—algorithms, simulations and combinatorics

89.78 Extended peak numbers

89.79 Proof without words: Pappus’ generalisation of Pythagoras’ theorem

89.80 A Heron-type formula for the reciprocal area of a triangle

89.81 Area properties of triangles revisited

89.82 On the Lester circle and the Archimedean triangle

89.83 Dissecting a triangle into a rectangle

89.84 Yet more on a neglected Pythagorean-like formula

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Volume 89 - Issue 516 - November 2005

Notes