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Volume 102

The Mathematical Gazette

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Volume 102 - 2018

Notes

102.44 Another proof of the irrationality of square roots

102.45 Revisiting a note on arithmetic and geometric means

102.13 Distance from the incentre of the tangential triangle of an obtuse triangle to the Euler line

102.27 On the theorem of means for terms in AP and GP

102.14 A Note on the Feuerbach triangle

102.28 A note on series of positive and negative terms

102.46 Showing the divergence of the harmonic series using integration

102.15 A Faulhaber polynomial by stacking cubes

102.47 An equilateral triangle associated with a hexagon

102.29 Another proof of the Fundamental Theorem of Algebra

102.16 An areal view of curvature

102.30 A surprising 3-D result involving a hexagon

102.48 The function ƒ(x) / x is v-shaped for convex ƒ

102.49 A very short proof of Pamfilos's characterisation of the rhombus

102.31 Cyclic gridpoint polygons

102.17 Dimensional analogues of two figurate identities

102.18 The problème des ménages revisited

102.32 Panning for gold in the streams of a regular pentagon

102.50 Long altitudes and an unexpected appearance of the golden ratio

102.33 A geometrical construction involving two intersecting circles

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Volume 102 - 2018

Notes