The Mathematical Gazette
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
Jim Farmer
246
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
Matter for Debate
Misconceptions of randomness and
expected sequential pairs in a
permutation of integers
Notes 91.29 to 91.57
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