Contents
|
Editorial |
|
385 |
Articles |
|
|
| Tangent
circles |
P.
Stanley
|
386 |
| From
nested Miquel triangles to Miquel
distances |
Michael
de Villiers
|
390 |
| Equiangular
polygons |
Derek
Ball
|
396 |
| A
unified construction of conics |
Michel
Bataille
|
408 |
| Fermat's
little theorem -
proofs that Fermat might have used |
Bob
Burn
|
415 |
| Triangular
numbers and perfect squares |
Tom
Beldon and
Tony
Gardiner |
423 |
| Writing
a rational number in Egyptian form |
Astrid
BÖnning, Peter Hilton and Jean
Pedersen |
432 |
| Digit-distance
Mastermind |
David
Ginat
|
437 |
Matter for Debate |
|
|
What does really mean? |
Hugh
Thurston
|
443 |
43rd
International Mathematical Olympiad |
Geoff
Smith
|
450 |
Notes 86.60 to 86.84 |
|
|
| Immediate
successors and predecessors of Fibonacci
and Lucas numbers |
Thomas
Koshy
|
457 |
| Generalised
Fibonacci Pythagorean triples |
Thomas
Koshy
|
459 |
| Proving
numbers Catalan |
Edmund
Swylan
|
460 |
| Generalising
the Fibonacci sequence |
J.
A. Scott
|
463 |
| Some
new triples of integers and associated
triangles |
M.
N. Deshpande
|
464 |
The
prime factors of  |
K.
Robin McLean
|
466 |
| The
twelve days of Christmas |
Bill
Richardson
|
468 |
| An
algebraic identity revisited |
J.
A. Scott
|
469 |
| A
transformation of periodic recurrence
relations |
S.
Simons
|
471 |
| The
vector triple product |
A.
F. Beardon
|
471 |
| The
use of hyperbolic cosines in solving
cubic polynomials |
G.
C. Holmes
|
473 |
Yet
another proof that  |
Nick
Lord
|
477 |
| Some
properties of the Farey mean |
David
Singmaster
|
479 |
More
on iterative solutions of |
Norman
Routledge
|
481 |
| Number
of arrangements |
A.
Ghalamfarsa
|
484 |
| The
'Self Santa' problem |
Martin
Griffiths
|
487 |
| Maths
bite: sides of regular polygons |
Nick
Lord
|
490 |
| How
many tetrahedra?
|
Atsuhiro
Nakamoto and Mamoru Watanabe
|
491 |
| On
the shape of a flexible elastic string suspended
between two points |
S.
Simons
|
498 |
| Tennis
and basketball the lazy way |
Mostafa
Ghandehari
|
501 |
| Oscillation
with different damping models |
Douglas
Quadling
|
502 |
| Probability
of flooding |
Martin
J. Marriott
|
506 |
| Chain
reaction |
G.
Jackson
|
509 |
| Means
of means, some mechanical
applications |
Anthony
C. Robin
|
514 |
| A
modified approach to motion under gravity
in a resistive medium |
S.
Simons
|
516 |
Correspondence |
|
518 |
Problem Corner |
Graham Hoare |
521 |
Student Problems |
Tim Cross |
529 |
Reviews |
|
532 |