Home | Contact Us | Join the MA | MA Shop | Site Map

	Search:


	Education




		Primary


		11 to 16


		Post 16




		Special


		Primary Mathematics Challenge


		Teaching mathematics with ICT


		Able Pupils


		Feedback to QCA



	Resources




		Conferences


		Branches and Local Activities


		Journals


		Professional Development


		Publications


		MA Library



	Association




		Presidents Page


		Organisation


		Who's Who


		Rules


		Regulations


		Contact Us


		Join the MA


		Links

The Mathematical Gazette March 2008

The Mathematical Gazette

CONTENTS
Editorial
Articles
Nice polynomials with three roots	Jonathan Groves	1
A geometric interpretation of equal sums of cubes	Adam Bailey	8
The Divine Proportion, matrices and Fibonacci numbers	H Brian Griffiths	14
The power of a point for some real algebraic curves	Bogdan Suceavã, Adrian Vajiac, Mihaela Vajiac	22
Twenty-one points on the nine-point circle	Clark Kimberling	29
Euler's and Barker's equations: A geometric derivation of the time of flight along parabolic trajectories	Alex Pathan	39
A serendipitous path to a famous inequality	Robert M Young	50
Computing Farey Series	Norman Routledge	55

Notes 92.01 to 92.29
Of grand-aunts and Fibonacci	B. Sury	63
The number of S.P numbers is finite	H. A. Shah Ali	64
A uniform construction of some infinite coprime sequences	Nick Lord	66
Square-free integers once again	J. A. Scott	70
When is the sum of consecutive powers an power?	Jane O'Flynn	71
A relation between the roots of a polynomial and its coefficients	Oren Peles	76
A generalised algebraic identity bites Pythagoras	Nick Lord and Paul Glaister	82
Summing digits of an arithmetic sequence	Stuart Simons	83
Explicit polynomial expressions for sums of powers of an arithmetic progression	Hung-Ping Tsao	87
Evaluating again	Robin Chapman	92
A remarkable formula	P. S. Bullen and R. Výborný	94
Two infinite nested radical constants	Teik-Cheng Lim	96
The -binomial inequality	Grzegorz £ysik	97
Some aspects of the behaviour of the graph of	Stuart Simons	99
An improved approximation to a well-known integral	John Mahony	106
Avoiding Pythagoras	Colin Foster	110
Magic knight's tours for chess in three dimensions	Awani Kumar	111
Generalisations of the Napoleon theorems, and triangles circumscribing a given triangle	Fukuzo Suzuki	115
Orthologic triangles and Miquel's theorem	Paul Gailiunas	125
Application of inversion to touching hyperspheres	P. Dale	128
Area and perimeter ratios	Stuart Simons	133
Maths bite: averaging polygons	Nick Lord	134
Tilings into tilings	Paul Stephenson	135
Counting faces on Archimedean solids	Paul Stephenson	137
Finding lost cousins	Roger Voles	138
An elementary proof of the generalised Fermat problem	Nguyen Minh Ha and Nikolaos Dergiades	141
The number of HH's in a coin-tossing experiment and the Fibonacci sequence	J. P. Shiwalkar and M. N. Deshpande	147
Angles in croquet	Jeremy D. King	150
Three scenarios involving elastic collisions	Michael D. Hirschhorn	154

Teaching Notes
The distance from a point to a line	Des MacHale	159
A rapid method to find a tangent to a circle	Peter Macgregor	160
Integration without tears ˜ two for the price of one	Des MacHale	160
A surprise with parallel lines: an exploration that went wrong, then right	David Wells	162

Feedback		165
Correspondence		167
Problem Corner	Nick Lord	170
Student Problems	Tim Cross	176
Reviews		179
Acknowledgements

© The Mathematical Association 2008

web site maintenance by Martin Bailey () and brightlemon web design london, uk