| CONTENTS |
| Articles |
| The Hypercubical Dance |
P. K. Aravind |
193 |
| The Hindu method for completing the square |
Dave L. Renfro |
198 |
| Hagge Circles and isogonal conjugation |
C.J. Bradley and G.C. Smith |
202 |
| Groups of rational functions |
K. Robin McLean |
208 |
| Trigonometry and Fibonacci numbers |
Barry Lewis |
216 |
| Differential equations |
R.V.W. Murphy |
235 |
| |
| Matter for Debate |
| Misconceptions of randomness and expected sequential pairs in a
permutation of integers |
Jim Farmer |
246 |
| |
| Notes 91.29 to 91.57 |
| Diophantine equations and Farey means |
Paul Stephenson |
249 |
| Fibonacci meets Chebyshev |
Alan F. Beardon |
251 |
| Maths bite: an unusual proof that
√N is irrational |
Nick Lord |
256 |
| Some more irrational thoughts |
Nick Lord |
256 |
| Fermat's last Theorem in the case n = 3 |
Roy Barbara |
260 |
| Positive solution of Mordell's equation |
Des MacHale |
262 |
| Extrema of a symmetric function |
Michael D. Hirschhorn |
264 |
| Functional equations and groups |
Alan F. Beardon |
267 |
| Folding graphs: a rich source of calculus examples |
Nick Lord |
270 |
| A geometric characterisation of the power functions |
Timothy G. Feeman & Osvaldo Marrero |
275 |
| Generalising an examination problem on maximisation |
Nick Lord |
279 |
| An amusing sequence of trigonometrical integrals |
Nick Lord |
281 |
| Some integrals involving ln (tan t) |
Francis Woodhouse |
285 |
| Pseudo-convergants |
Martin Griffiths |
290 |
| A furniture removal problem |
Anthony C. Robin |
297 |
| Dove-tail sequences |
Martin Griffiths |
300 |
| The fundamental theorem of algebra deduced from elementary
calculus |
Jose Carlos Santos |
302 |
| Integrals - indefinite or misdefined? |
Douglas Quadling |
303 |
| Newton-Raphson revisited |
David Elgin |
307 |
| A geometrical recreation or how to avoid your neighbours |
Stuart Simons |
312 |
| Mirror magic squares from Latin squares |
Hossein Behforooz |
316 |
| A generalization of Feynman's triangle |
Robert J. Clarke |
321 |
| Heron triangles with ےb = 2ےA |
Douglas W. Mitchell |
326 |
| Similarity properties of the Bride's Chair |
Nick Lord |
328 |
| Maths bite: the 'perpendicular-parallel' axes theorem |
Nick Lord |
331 |
| Did Kepler know this? |
Mark Blyth |
332 |
| Linearly-resisted trajectories and the over-under theorem |
Sean M. Stewart |
335 |
| Re-estimating bounds on athletic performance |
Michael A. B. Deakin |
338 |
| Modelling penalty competitions to decide football matches |
Jon Warwick |
342 |
| |
|
|
| Feedback |
|
349 |
| Correspondence |
|
356 |
| Problem Corner |
Nick Lord |
358 |
| Student Problems |
Tim Cross |
366 |
| Reviews |
|
371 |
| Acknowledgements |
|
384 |
| |
| © The Mathematical
Association 2007 |
