Contents
|
Articles |
|
|
| Rank and file: vision and visualisations |
Steve Abbott |
386 |
| Dissecting squares |
Joe Kingston and Des MacHale |
403 |
| A curious string of nines |
Hans Liebeck |
431 |
| The ichthyoids |
H. Martyn Cundy |
439 |
| Simson lines and deltoids |
Keith Barnett |
446 |
Notes 85.49 to 85.78 |
|
|
| Number rounds |
R. B. J. T. Allenby and Alan West |
458 |
| 30 is curiouser than 24 |
Tony Barnard |
461 |
| Further simple tests for integer factors |
S. Simons |
462 |
| A short cut in long division |
Hans Liebeck |
463 |
| Variations on Pascal's triangle |
Anand Prakash |
466 |
| (a + b)?1 = a?1 +
b?1 revisited |
Des MacHale |
468 |
| What proportion of integers are the sum of two squares? |
K. Robin McLean |
470 |
| Two generalisations of a factorial identity |
Angelo di Domenico |
475 |
| Fibonacci goes hyperbolic |
A. Robert Pargeter |
476 |
| A trigonometric identity |
Darrell Desbrow |
477 |
| Proof without words |
Yukio Kobayashi |
479 |
| A trigonometric proof of Ptolemy's theorem |
Ho-Joo Lee |
481 |
| Geometrical interpretation of tan((B ? C)/2) = (b
? c)/(b + c) cot(A/2) |
Robert J. Clarke |
481 |
| Why must the triangle's medians be concurrent? |
Mowaffaq Hajja and Peter Walker |
482 |
| More notes on a neglected Pythagorean-like formula |
Gyula Darvasi |
483 |
| Similar triangles associated with the Lemoine point |
J. A. Scott and H. M. Cundy |
486 |
| A new approach to Euler's relation |
S. Simons |
490 |
| Obtaining elliptical sections from right circular cylinders |
A. Tan |
491 |
| Sign constraints on the graph of f(x) =
g(y) |
S. Simons |
492 |
| Evaluation of two integrals by a reduction process |
S. N. Maitra |
496 |
| Experimenting with graphs: f(y) = f(x) |
P. W. Hempson |
497 |
| Comment on Note 84.59 |
Michael D. Hirschhorn |
503 |
| On product collapse |
J. A. Scott |
503 |
| Euler limits for some doubly-infinite series |
J. A. Scott |
504 |
| Euler-MacLaurin summation and the generalised factorial |
Grzegorz Rzadkowski |
507 |
| Grouping of terms and divergence of the harmonic series |
J. Rooin |
512 |
| Beyond Gregory's series ? a computation of the value of pi |
S. Simons |
513 |
| Another discrete random variable having the property 'Mean =
Variance' |
M. N. Deshpande |
516 |
| The Mathematical Gazette |
Bill Richardson |
517 |
| A Greek phonetic alphabet |
John Preater |
518 |
Correspondence |
|
519 |
Problem corner |
G. T. Q. Hoare |
520 |
Student Problems |
Tim Cross |
527 |
Reviews |
|
531 |
Acknowledgements |
|
575 |
Students up to the age of 19 are invited to send solutions to either of the
problems to Tim Cross, MG SPC, c/o KES, Edgbaston Park
Road, Birmingham, B15 2UA. Two prizes will be awarded a first prize of £25,
and a second prize of £20 to the senders of the most impressive solutions for
either problem. It is, therefore, not necessary to submit solutions to both.
Solutions should arrive by 20th January 2002. Please give your school year, the
name and address of your school or college, and the name of a teacher through
whom the award may be made. The names of all successful solvers will be
published in the March 2002 edition of The Mathematical
Gazette.
