| CONTENTS |
| Articles |
| Sailing through mathematics |
Sue Singer |
386 |
| A solution to a cubic |
Alex Pathan and Tony Collyer |
398 |
| Focusing surfaces |
Hassan Azad, Abdallah Laradji
and Asghar Qadir |
404 |
| A theorem on concurrent Euler lines |
C. J. Bradley |
412 |
| Defining sets for magic squares |
A. D. Keedwell |
417 |
| Two remarks about Sudoku squares |
A. D. Keedwell |
425 |
| How the odd terms in the Fibonacci sequence stack up |
S. Rinaldi and D. G. Rogers |
431 |
| |
| Notes 90.59 to 90.88 |
| An intriguing relationship between Fibonacci and Jacobsthal polynomials |
Mohammad Salmassi and Thomas Koshy |
443 |
| Diophantine triplets revisited |
M. N. Deshpande |
445 |
| When is the product of consecutive triangular numbers a perfect square? |
Nick Lord |
448 |
| On a class of equal sums of unlike powers of rational integers |
Juan Pla |
450 |
| Integer roots of polynomials |
Jeremy D. King |
455 |
| The theorem of means revisited |
J. A. Scott |
456 |
| Three answers to an integral |
Graham Jameson and Nicholas Jameson |
457 |
| The equality of two integrals |
Peter Shiu |
459 |
| A series for the ‘bit’ |
Alan Fearnehough |
460 |
| Yet another look at the calculus power rules |
Martin Griffiths |
461 |
| Continuous choice of argument |
Roger Webster |
463 |
| Counting squares and cubes |
Stuart Simons |
466 |
| More about weighing coins |
Norman Routledge |
468 |
| Powers of Latin squares |
Emanuel Emanouilidis |
478 |
| An elementary proof of Napoleon's theorem |
J. A. Scott |
481 |
| Some thoughts on the neglected quadrilateral |
J. A. Scott |
483 |
| A new triangle point |
J. A. Scott |
486 |
| The theorem of means applied to the triangle |
J. A. Scott |
487 |
| Watt quadrilaterals and the 2005 IMO |
P. Scales and G. Keady |
488 |
| Two proofs of a Pythagorean-like theorem |
Larry Hoehn |
490 |
| Boxes for triangles of diameter one |
Liping Yuan, Yuqin Zhang and Ren Ding |
492 |
| Hyperbolas derived from a triangle and the perpendiculars from a point |
Fukuzo Suzuki |
497 |
| An amplitude-independent ‘pendulum’ |
Stuart Simons |
500 |
| Differential equations, traffic dynamics and the N roots of unity |
Mark McCartney and Sharon Gibson |
502 |
| Moments of inertia of a lamina |
Mike Grant |
506 |
| A tale of two problems with the same differential equation |
Clement E. Falbo |
509 |
| Overcoming fortifications |
Stuart Simons |
511 |
| What is the probability that the angle sum of a triangle is 180°? |
Anthony C. Robin |
513 |
| Poisson's other distribution and a variance inequality |
Nick Lord |
514 |
| |
|
|
| Feedback |
|
516 |
| Correspondence |
|
526 |
| Problem Corner |
Nick Lord |
527 |
| Student Problems |
Tim Cross |
534 |
| Reviews |
|
537 |
| Acknowledgements |
|
575 |
| |
| © The Mathematical Association 2006 |
