| CONTENTS |
| Articles |
| Cevian axes and related curves |
M. D. Fox and J. R. Goggins |
2 |
| Interleaving integer sequences |
Tony Crilly |
27 |
| Galton, Cayley, and the land across the river |
Tony Crilly |
34 |
| A theorem of M. L. Urquhart's and some consequences |
R.T. Leslie |
39 |
| Average lengths for the two-player game |
David K. Neal |
51 |
| Reflections on an exponential mirror |
Paul Levrie and Hilde Missinne |
59 |
| |
| Notes 91.01 to 91.28 |
| The central elements in Josef's triangle |
Thomas Koshy |
63 |
| Equations with roots in geometrical progression |
Norman Routledge |
68 |
| An elegant arithmetical relationship and its generalisation |
I. Grattan-Guinness |
74 |
| The Pell sequence and Pythagorean triples |
M. N. Deshpande |
75 |
| Square sums of consecutive triangular numbers |
Robin Chapman |
77 |
| On the Lagrange method for constrained critical points |
J. A. Scott |
81 |
| Sums of cubes in finite fields |
Roy Barbara |
85 |
| Paper folding fractions |
King-Shun Leung and Chong-Lap Sze |
87 |
| A surprising relationship? |
Andrew Jobbings |
92 |
| Ball in a bucket |
Martin Griffiths |
93 |
| Explicit formula for power sums of an arithmetic sequence |
N. Gauthier |
97 |
| Some long telescoping series |
Thomas J. Osler |
104 |
| A new proof of a curious identity |
Xiaoxia Wang and Yidong Sun |
105 |
| Another simple proof of the theorem of the means |
Robert M. Young |
107 |
| Making toast |
Stuart Simons |
110 |
| Some properties of ordered triangle cotangents |
J. A. Scott |
112 |
| Carnot's theorem in trigonometric disguise |
Frédéric
Perrier |
115 |
| Archimedes revisited: the approximation of π by regular polygon
perimeters |
S. P. Vincent |
117 |
The Basel problem and the zeros of
 |
Francis Woodhouse |
120 |
| Finding ξ (2n) from a recursion relation for Bernoulli numbers |
Thomas J. Osler and Jim Zeng |
123 |
| on singular 3 x 3 semi-diagonal Latin squares |
Götz Trenkler and Dietrich Trenkler |
126 |
| A new generalization of the Pythagorean theorem |
Gyula Darvosi |
128 |
| On generalised Feynman sequences |
J. A. Scott |
132 |
| The probability of a run |
Mark B. Villarino |
134 |
| The highest score in the class |
Martin Griffiths |
137 |
| How might we model a real fulcrum? |
Stuart Simons |
142 |
| Dynamical analysis of a toy |
Stuart Simons |
145 |
| The inertia matrix of a uniform solid |
M. A. Grant |
148 |
| |
|
|
| Feedback |
|
153 |
| Correspondence |
|
154 |
| Problem Corner |
Nick Lord |
155 |
| Student Problems |
Tim Cross |
163 |
| Reviews |
|
165 |
| Acknowledgements |
|
192 |
| JSTOR and The Mathematical Gazette |
|
38 |
| |
| © The Mathematical Association 2006 |
