AUTHOR	TITLE	PAGE	Issue	Category
	Eleventh Annual Mathematical Gazette Writing Awards	193	July 2006	Miscellaneous
	JSTOR and The Mathematical Gazette	38	March 2007	Misc
	Twelfth Annual Mathematical Gazette Writing Awards	348	July 2007	Misc
	Acknowledgements	591	November 2008
	Thirteenth Annual Mathematical Gazette Writing Awards	222	July 2008
	Fourteenth Annual Mathematical Gazette Writing Awards	366	July 2009	Misc
	Acknowledgements	575	November 2009	Misc
Steve Abbott	Rank and file: vision and visualisations	386	November 2001	Article
Steve Abbott	Peter Reynolds (1932-2000)	137	March 2002	Obituary
Steve Abbott	SFD chains and factorion cycles	261	July 2004	Note 88.32
Hj. Mohammad Shakil Akhtar	Inscribed circles of Pythagorean triangles	302	July 2002	Note 86.47
Hassan A. Shah Ali	Another method for Pythagorean triples	273	July 2001	Note 85.26
H. A. Shah Ali	The number of S.P numbers is finite	64	March 2008	Note 92.02
R. B. J. T. Allenby and Alan West	Number rounds	458	November 2001	Note 85.49
I. Anderson and J. R. Gillett	Avoiding the drop	107	March 2001	Note 85.14
Ian Anderson	On note 87.74	321	July 2004	Feedback
Ian Anderson	Euler and combinatorics	428	November 2007	Article
Tom M. Apostol	Sums of consecutive positive integers	98	March 2003	Note 87.02
Tom M. Apostol	Bernoulli's power-sum formulas revisited	276	July 2006	Note 90.36
Tom M. Apostol and Mamikon A. Mnatsakanian	The method of sweeping tangents	396	November 2008	Article
Tom M. Apostol and Mamikon A. Mnatsakanian	The method of sweeping tangents	396	November 2008	Article
Tom Apostol	On 92.70:	157	March 2009	Feedback
P. K. Aravind	The Hypercubical Dance	193	July 2007	Article
Abraham Arcavi, Maxim Bruckheimer	Farey rabbits	223	July 2000	Article
N. J. Armstrong and R. J. Armstrong	Some properties of repetends	437	November 2003	Article
J. Marshall Ash, Michael A. Ash and Peter F. Ash	Constructing a quadrilateral inside another one	522	November 2009	Note 93.55
Isao Asiba, Masakazu Nihei	On a geometric proof of trigonometric formulas involving the tangent	75	March 2001	Note 85.01
Isao Asiba and Masakazu Nihei	On a unified method of solving some inequalities	292	July 2004	Note 88.44
Jack Astin	A discriminant that forms a geometric sequence	286	July 2008	Note 92.39
H. Azad and A. Laradji	An equality for certain exponential sums	525	November 2003	Note 87.66
H. Azad and A. Laradji	Some impossible constructions in elementary geometry	548	November 2004	Note 88.70
Hassan Azad, Abdallah Laradji, Asghar Qadir	Focusing surfaces	404	November 2006	Article
Sohael Babwani	An extended approach to the Julian and the Gregorian calendar	569	November 2004	Note 88.77
Nigel Backhouse	On 92.35	571	November 2008	Feedback
Adam Bailey	A geometric interpretation of equal sums of cubes	8	March 2008	Article
Adam Bailey	Some divisibility properties of cubic quadruples	488	November 2009	Note 93.47
John Baker and David King	Magic Hexagons — Magic Moments	235	July 2006	Article
Alex Balfour	Rapid decimal expansions of rational fractions of the forms and	300	July 2003	Note 87.37
Derek Ball	Equiangular polygons	396	November 2002	Article
Roy Barbara	The Fermat-Torricelli points of lines	24	March 2000	Article
Roy Barbara	Illuminating all triangles	499	November 2000	Note 84.53
Roy Barbara	Solutions of	84	March 2004	Note 88.01
Roy Barbara	A short proof of Aubry's theorem	263	July 2004	Note 88.34
Roy Barbara	An extremum for where and are constant	43	March 2005	Note 89.04
Roy Barbara	A new look at ,	460	November 2005	Note 89.62
Roy Barbara	A strong result on tiling	134	March 2006	Note 90.24
Roy Barbara	A triangle formula	298	July 2006	Note 90.44
Roy Barbara	Sums of cubes in finite fields	85	March 2007	Note 91.07
Roy Barbara	Fermat's last theorem in the case	260	July 2007	Note 91.33
Roy Barbara	Steiner-Lehmus, revisited	528	November 2007	Note 91.66
Roy Barbara	Rational walks in the unit square	276	July 2009	Note 93.21
Robert Barbour	A manifesto for mathematics	386	November 2009	Article
Tony Barnard	Why are proofs difficult?	415	November 2000	Article
Tony Barnard and John Silvester	Circle theorems and a property of the (2,3,4) triangle	312	July 2001	Note 85.44
Tony Barnard	30 is curiouser than 24	461	November 2001	Note 85.50
Tony Barnard	A metric metre	88	March 2006	Note 90.05
Keith Barnett	Simson lines and deltoids	446	November 2001	Article
J. K. R. Barnett	A systematisation of some trigonometric identities	539	November 2003	Note 87.72
J. K. R. Barnett	Generalising a ‘trigonometric’ identity	110	March 2006	Note 90.14
Michel Bataille	A unified construction of conics	408	November 2002	Article
Michel Bataille	Some identities for an old combinatorial sum	144	March 2003	Note 87.22
Michel Bataille	On note 86.15	156	March 2004	Feedback
Michel Bataille	A curious way to the weighted AM-GM inequality	533	November 2008	Note 92.75
A. F. Beardon	Reflections on Euclid's algorithm	294	July 2000	Note 84.40
Alan F. Beardon	A disc rolling in a tray	248	July 2002	Article
Alan F. Beardon and M. N. Deshpande	Diophantine triples	258	July 2002	Note 86.26
A. F. Beardon	The vector triple product	471	November 2002	Note 86.69
A. F. Beardon	The dimension of the space of magic squares	112	March 2003	Note 87.08
A. F. Beardon	Flexible quadrilaterals	71	March 2005	Note 89.17
Alan F. Beardon	Fibonacci meets Chebyshev	251	July 2007	Note 91.30
Alan F. Beardon	Functional equations and groups	267	July 2007	Note 91.36
Alan Beardon	On 90.69	354	July 2007	Feedback
Alan F. Beardon	Geoboards, polygons and Pick's Theorem	228	July 2009	Article
Alan F. Beardon	Prime matrices and prime polynomials	433	November 2009	Article
Raymond Beauregard and E. R. Suryanarayan	Square-plus-two primes	90	March 2001	Note 85.07
Hossein Behforooz	Mirror magic squares from Latin Squares	316	July 2007	Note 91.49
Paul Belcher	But what colour are Anna's eyes?	322	July 2003	Note 87.45
Paul Belcher	Extended peak numbers	490	November 2005	Note 89.78
Paul Belcher	Powerful numbers	262	July 2006	Note 90.32
Tom Beldon and Tony Gardiner	Triangular numbers and perfect squares	423	November 2002	Article
Sarah Bendall and Mike Eggar	Markov chains in cricket revisited	101	March 2001	Note 85.12
Ladislav Beran	Instant unitary matrices	46	March 2005	Note 89.06
Ladislav Beran	Westlund's criterion in full detail	88	March 2009	Note 93.03
Abraham Berman and Shay Gueron	On the inverse of the Hilbert matrix	274	July 2002	Note 86.35
John Berry	Developing the mathematical feel	386	July 2000	Article
David Bevan	On 91.48	557	November 2007	Feedback
Servettin Bilir and Neºe Ömür	A remark on Steiner-Lehmus and the automedian triangle	134	March 2004	Note 88.22
Roger Bilisoly	Anasquares: Square anagrams of squares	301	July 2008	Note 92.45
Stephen Blair	On note 88.46	107	March 2005	Feedback
David C. Blest	Optimising sums of cubes of integer differences	509	November 2000	Note 84.58
Mark Blyth	Did Kepler know this?	332	July 2007	Note 91.54
Astrid Bönning, Peter Hilton and Jean Pedersen	Writing a rational number in Egyptian form	432	November 2002	Article
Wladimir G. Boskoff, L. Homentcovschi and B. D. Suceavã	Some theorems about perpendicular lines, proved using an extension of Pythagoras' theorem	119	March 2009	Note 93.15
A. V. Boyd and J. N. Ridley	The return of Secret Santa	307	July 2001	Note 85.43
Christopher J. Bradley	Heron triangles and touching circles	36	March 2003	Article
Christopher J. Bradley	A theorem on rational numbers	107	March 2003	Note 87.06
C. J. Bradley and G. C. Smith	Hagge circles and isogonal conjugation	202	July 2007	Article
C. J. Bradley	Olympiad memories	201	July 2002
C. J. Bradley	More on Simson conics and lines	303	July 2002	Note 86.48
C. J. Bradley	From integer Lorentz transformations to Pythagoras	16	March 2004	Article
Christopher Bradley	On Heron triangles and touching circles (March 2003)	156	March 2004	Feedback
C. J. Bradley	Cyclic quadrilaterals	417	November 2004	Article
Christopher J. Bradley	Integer roots of cubic equations	508	November 2004	Note 88.55
C. J. Bradley	Hexagons with opposite sides parallel	57	March 2006	Article
C. J. Bradley	A theorem on concurrent Euler lines	412	November 2006	Article
C. J. Bradley	The Fermat point configuration	214	July 2008	Article
C. J. Bradley	Generalisation of the Droz-Farny lines	332	July 2008	Note 92.57
C. J. Bradley	Conjugation 1 − Conjugate points in a triangle	232	July 2009	Article
C. J. Bradley	Conjugation 2: Conjugate lines in a triangle	420	November 2009	Article
Bill Brakes	Logic, language and life	255	July 2001	Debate
W. R. Brakes and G. C. Shephard	More interlinked loops	222	July 2009	Article
Peter A. Braza and Jingcheng Tong	Square−triangular numbers, revisited	270	July 2001	Note 85.25
Maurice N. Brearley, Neville J. de Mestre	Improving the efficiency of racing shell oars	405	November 2000	Article
Maurice N. Brearley and Neville J. de Mestre	The high jump – the neglected Straddle style	249	July 2001	Article
Maurice N. Brearley	About tsunamis	437	July 2005	Article
Maurice N. Brearley	About Tsunamis	158	March 2006	Letter
Richard Bridges	A simple energy-conserving model exhibiting elastic restitution	51	March 2000	Article
J. Brinkman, D. E. Hodgkinson and J. F. Humphreys	How to buy a winning ticket on the National Lottery	202	July 2001	Article
Kerry G. Brock	How rare are singular matrices?	378	July 2005	Article
A. L. Brown	The irrationality of , , ,	143	March 2003	Note 87.20
Adam Brown	An inscriptable quadrilateral	563	November 2003	Note 87.79
Adam Brown	A connection between Brianchon's theorem and the seven circles theorem	569	November 2003	Note 87.81
Margaret Brown	Geoffrey Matthews (1917-2002)	337	July 2003	Obituary
P. G. Brown	Some comments on inverse arithmetic functions	403	July 2005	Article
P. G. Brown	Fitting triangles to a square	461	November 2005	Note 89.63
Ian Bruce	The agony and the ecstasy − the development of logarithms by Henry Briggs	216	July 2002	Article
Ian Bruce	Henry Briggs: The Trigonometria Britannica	457	November 2004	Article
P. S. Bullen and R. Výborný	A remarkable formula	94	March 2008	Note 92.11
Bob Burn	Gregory of St Vincent and the rectangular hyperbola	480	November 2000	Article
Bob Burn	Fermat’s little theorem − proofs that Fermat might have used	415	November 2002	Article
Bob Burn	Triangles with a 60° angle and sides of integer length	148	March 2003	Note 87.23
Bob Burn	Prime factors in generalised Fibonacci sequences	203	July 2003	Article
Bob Burn	No converse to an isomorphism theorem	93	March 2006	Note 90.08
John Burns	Area properties of triangle	351	July 2006	Letter
Ezra Bussmann	S.P numbers in bases other than 10	245	July 2001	Article
Árpád Bényi	A property of additive functions	141	March 2003	Note 87.19
Árpád Bényi	A Heron-type formula for the triangle	324	July 2003	Note 87.47
David Cariolaro and Ko-Wei Lih	The edge-choosability of the tetrahedron	543	November 2008	Note 92.81
Stephen Casey	The converse of the theorem of Pythagoras	309	July 2008	Note 92.47
Fernando Castro G.	More on the sequence of prime numbers	264	July 2002	Note 86.29
Zvonko Cerin	Regular polygons on sides of special triangles	260	July 2000	Article
Zvonko Èerin	On Napoleon triangles and propeller theorems	42	March 2003	Article
Ll. G. Chambers	The integral	52	March 2005	Note 89.09
Ll. G. Chambers	Series connected with the Fibonacci series	454	November 2005	Note 89.58
Ll. G. Chambers	The tercentenary of	194	July 2006	Article
Ll G. Chambers	A variational approach to the flexural energy of a horizontal beam	343	July 2009	Note 93.41
Leo Chao, Paul Des Jarlais and John L. Leonard	A binomial identity, via derangements	268	July 2005	Note 89.45
Robin Chapman	A curious identity revisited	139	March 2003	Note 87.18
Robin Chapman	On How rare are singular matrices	340	July 2006	Feedback
Robin Chapman	Square sums of consecutive triangular numbers	77	March 2007	Note 91.05
Robin Chapman	Evaluating again	92	March 2008	Note 92.10
Chao-Ping Chen and Feng Qi	The best bounds to	540	November 2004	Note 88.67
Chao-Ping Chen and Feng Qi	Extension of an inequality of H. Alzer	293	July 2006	Note 90.42
Theodora Chen and Martin Griffiths	Symmetric functions in the classroom	533	November 2009	T. Note
Peter C.-H. Cheng and Nigel G. Pitt	Diagrams for difficult problems in probability	86	March 2003	Article
Hwang Chien-lih	They are almost all irrational!	266	July 2004	Note 88.36
Hwang Chien-lih	Some observations on the method of arctangentsfor the calculation of	270	July 2004	Note 88.38
Hwang Chien-Lih	Relations between Euler's constant, Riemann's zeta function and Bernoulli numbers	57	March 2005	Note 89.11
Hwang Chien-Lih	Series for derived from the Gregory-Leibniz series	254	July 2005	Note 89.37
Hwang Chien-Lih	An elementary derivation of Euler's series for the arctangent function	469	November 2005	Note 89.67
Hwang Chien-Lih	Some relations between arctangent sums and Pell's equations	474	November 2005	Note 89.72
Frank Chorlton	Evaluation of two more improper integrals	121	March 2001	Note 85.20
Robert J. Clarke	A Fibonacci query	267	July 2001	Note 85.23
Robert J. Clarke	Geometrical interpretation of	481	November 2001	Note 85.61
Robert J. Clarke	A formula for weighted Fibonacci sums	279	July 2003	Note 87.31
Robert J. Clarke	The return of the cotangent rule	116	March 2004	Note 88.15
Robert J. Clarke	Incircles of right-angled triangles	82	March 2005	Note 89.21
Robert J. Clarke	Different aspects of the cosine rule	279	July 2006	Note 90.37
Robert J. Clarke	A generalisation of Feynman's triangle	321	July 2007	Note 91.50
Robert J. Clarke		357	July 2007	Letter
Robert J. Clarke	Some rules of the triangle	319	July 2008	Note 92.51
Clotilde Luz Clifton-Everest	On the Diophantine equation	481	November 2007	Article
G. L. Cohen	On a theorem of G. H. Hardy concerning golf	120	March 2002	Note 86.20
Alan M. Cohen	Bounds for the roots of polynomial equations	87	March 2009	Note 93.02
Tony Collyer and Alex Pathan	Using spreadsheets to divide algebraic expressions	477	November 2003	Article
Phil Colville	Approximating on a spreadsheet	125	March 2002	Note 86.21
R. J. Cook and G. V. Wood	Feynman's triangle	299	July 2004	Note 88.46
Mark J. Cooker	Never say never: some mistaken identities	94	March 2000	Note 84.14
Mark J. Cooker and John Reeve	When is the area equal to ?	542	November 2004	Note 88.68
Mark J. Cooker	When shall we three meet tangentially?	514	November 2005	Note 89.89
Mike Cooper	Tangents revisited	288	July 2001	Note 85.35
Laurence Cooper	On note 87.32	318	July 2004	Feedback
H. R. Corbishley	The Hale-Bopp comet explored with A level mathematics	58	March 2000	Article
Mike Cornelius	Memories of Peter Reynolds	141	March 2002	Obituary
G. Corris	Go to work on an egg	516	November 2003	Note 87.64
Stefano Costa	Geometry of the sums of consecutive integer powers	516	November 2008	Note 92.72
Gh. Costovici	Some convergent real sequences related to Euler's constant	262	July 2005	Note 89.43
John E. Cremona	A solution for Note 84.35	66	March 2002	Note 86.01
Tony Crilly	Desert Island Theorems: my magnificent seven	2	March 2001	Article
Tony Crilly	Memories of Sir Wilfred Cockcroft	72	March 2001	Article
Tony Crilly	Cedric Smith – a mathematical castaway	18	March 2003	Article
Tony Crilly	An Argand diagram for two by two matrices	209	July 2003	Article
Tony Crilly	Interleaving integer sequences	27	March 2007	Article
Tony Crilly	Galton, Cayley, and the land across the river	34	March 2007	Article
John S. Croucher	Using House margins to compare casino gambling opportunities	475	November 2000	Article
John S. Croucher	Optimal scheduling to minimise waiting time	573	November 2004	Note 88.78
H. Martyn Cundy	Snubbing with and without eta	14	March 2000	Article
H. Martyn Cundy	The ichthyoids	439	November 2001	Article
H. Martyn Cundy	A journey round the triangle	217	July 2003	Article
H. Martyn Cundy	Donald Coxeter − Master of many dimensions	341	July 2003	Appreciation
H. Martyn Cundy	A pseudohedron	226	July 2004	Article
H. Martyn Cundy	On note 88.15	583	November 2004	Feedback
H. Martyn Cundy	The lemniscate of Bernoulli	89	March 2005	Note 89.23
Neil Curwen	The Premiership and a measure of derangement	320	July 2003	Note 87.44
N. Curwen	Basic expectations	352	July 2009	T. Note
P. Dale	Application of inversion to touching hyperspheres	128	March 2008	Note 92.20
Paul Dale and Barry Martin	The number of permutations of partitions of a positive integer	314	July 2009	Note 93.35
T. G. Dankel and J. L. Brown	A long game − Racing random walkers	57	March 2004	Article
Gyula Darvasi	More notes on a neglected Pythagorean-like formula	483	November 2001	Note 85.63
Gyula Darvasi	Some constructions for dividing a trapezium into parts of given area	88	March 2002	Note 86.10
Gyula Darvasi	From the weighted mean to the mean-inequalities	290	July 2002	Note 86.41
Gyula Darvasi	A unique property of right-angled triangles	51	March 2003	Article
Gyula Darvasi	On note 87.47	318	July 2004	Feedback
Gyula Darvasi	Yet more on a neglected Pythagorean-like formula	502	November 2005	Note 89.84
Gyula Darvasi	Converse of a property of right triangles	72	March 2005	Note 89.18
Gyula Darvasi	A new generalisation of the Pythagorean theorem	128	March 2007	Note 91.22
Michael Davies	On note 88.49	108	March 2005	Feedback
A. E. L. Davis	Some plane geometry from a cone	235	July 2007	Article
A. E. L. Davis	On 91.54	558	November 2007	Feedback
Vin de Silva	Question Three	202	July 2002
Vin de Silva	A generalisation of Archimedes' hatbox theorem	132	March 2006	Note 90.23
José Carlos de Sousa and Oliveira Santos	Another approach to the trisection problem	280	July 2006	Note 90.38
Michael de Villiers	More on dual Van Aubel generalisations	121	March 2000	Note 84.28
Michel de Villiers	A dual to a BMO problem	73	March 2002	Note 86.04
Michael de Villiers	From nested Miquel triangles to Miquel distances	390	November 2002	Article
Michael de Villiers	On note 88.46	587	November 2004	Feedback
Michael de Villiers	On note 88.46	108	March 2005	Feedback
Michael de Villiers	On Hexagons with opposite sides parallel	517	November 2006	Feedback
Michael de Villiers	A question of balance: an application of centroids	525	November 2007	Note 91.65
Michael de Villiers	Correction & Further Generalisation: Note 91.65	167	March 2008	Letter
Prithwijit De and Des MacHale	From immersion heaters to buoys	519	November 2007	Note 91.62
Prithwijit De	A pair of insoluble Diophantine equations arising from an equilateral triangle	261	July 2008	Note 92.32
Michael A. B. Deakin	New light on some very familiar formulae	122	March 2001	Note 85.21
Michael A. B. Deakin and G. J. Troup	More on times of flight	321	July 2001	Note 85.48
Michael A. B. Deakin	Generalising a recurrence relation	482	November 2005	Note 89.75
Michael A. B. Deakin	Re-estimating bounds on athletic performance	338	July 2007	Note 91.56
Michael A. B. Deakin	A new look at Eddington's liar problem	1	March 2009	Article
Thomas P. Dence	Sums of simple rearrangements of the alternating harmonic series	511	November 2008	Note 92.70
Darrell Desbrow	Approximation to square roots−further to Note 81.41	282	July 2000	Note 84.36
Darrell Desbrow	Proof of Voles' conjecture concerning solutions of	298	July 2000	Note 84.42
Darrell Desbrow	A trigonometric identity	477	November 2001	Note 85.58
M. N. Deshpande	An interesting conjecture	296	July 2000	Note 84.41
M. N. Deshpande	Another discrete random variable having the property ‘Mean = Variance’	516	November 2001	Note 85.76
M. N. Deshpande	Some new triples of integers and associated triangles	464	November 2002	Note 86.64
M. N. Deshpande	Diophantine triplets revisited	445	November 2006	Note 90.60
M. N. Deshpande	The Pell sequence and Pythagorean triples	75	March 2007	Note 91.04
Angelo di Domenico	Two generalisations of a factorial identity	475	November 2001	Note 85.56
Angelo Di Domenico	The golden ratio—the right triangle—and the arithmetic, geometric, and harmonic means	261	July 2005	Note 89.41
Angelo S. Di Domenico	A property of triangles involving area	323	July 2003	Note 87.46
Colin Dixon	On note 88.15	104	March 2005	Feedback
Stan Dolan	On note 89.27	311	July 2005	Feedback
Stan Dolan	Man versus Computer	469	November 2007	Article
Tomislav Do¹liæ	Fibonacci in Hogwarts?	432	November 2003	Article
Stella Dudzic	The coupon collector's problem with unequal probabilities	126	March 2009	Note 93.16
Michael Duff	Normal distribution algorithms	331	July 2003	Note 87.50
Michael Duff	A short projective proof of Lester's theorem	505	November 2005	Note 89.85
Andrejs Dunkels	Comments on note 82.53—a generalised test for divisibility	79	March 2000	Note 84.06
Rob Eastaway	Joined up mathematics (Presidential Address 2008)	386	November 2008	Article
Michael Eastham	The irrationality of : a simple proof	205	July 2004	Article
Michael Eastham	On note 88.46	587	November 2004	Feedback
Phillip Edwards and Munir Mahmood	Sharper bounds for the factorial of	301	July 2001	Note 85.41
M. H. Eggar	A curious property of the integer 24	96	March 2000	Note 84.15
M. H. Eggar	A game with positive and negative numbers	98	March 2000	Note 84.17
David Elgin	A third order iterative scheme	126	March 2002	Note 86.22
David Elgin	Newton-Raphson revisited	307	July 2007	Note 91.47
L. E. Ellis	Hero triangles	307	July 2002	Note 86.49
Arthur Ellis-Davies	The equation of the plane containing	507	November 2005	Note 89.86
Arthur Ellis-Davies	The hyperexponential function :an exercise in convergence	193	July 2009	Article
Emanuel Emanouilidis and Robert A. Bell	Latin squares and their inverses	127	March 2004	Note 88.19
Emanuel Emanouilidis	Construction of Pythagorean magic squares	99	March 2005	Note 89.26
Emanuel Emanouilidis	Powers of Latin squares	478	November 2006	Note 90.73
Canon D. B. Eperson	Lewis Carroll − mathematician and teacher of children	9	March 2000	Article
Dennis Epple and Martin Kutz	Parity Lights	46	March 2004	Article
Russell Euler and Jawad Sadek	A cubic Diophantine equation re-examined	263	July 2008	Note 92.33
Russell Euler and Jawad Sadek	A ‘Sterling’ summation method	504	November 2009	Note 93.51
Lawrence S. Evans and John F. Rigby	Octagrammum mysticum and the golden cross-ratio	35	March 2002	Article
Clement E. Falbo	A tale of two problems with the same differential equation	509	November 2006	Note 90.85
Jeff D. Farmer	Geometric series: Descartes and the fundamental theorem of calculus	227	July 2000	Article
Jeff D. Farmer and Steven C. Leth	An asymptotic formula for powers of binomial coefficients	385	July 2005	Article
Jim Farmer	Misconceptions of randomness and expected sequential pairs in a permutation of integers	246	July 2007	Debate
Alan Fearnehough	A series for the ‘bit’	460	November 2006	Note 90.67
Timothy G. Feeman and Osvaldo Marrero	Very curious numbers indeed!	98	March 2004	Note 88.08
Timothy G. Feeman and Osvaldo Marrero	A geometric characterisation of the power functions	275	July 2007	Note 91.38
P. C. Fenton	Eratosthenes's cube root mechanism	287	July 2000	Note 84.37
P. C. Fenton	History of Mathematics in Mathematics: What is the point of it?	254	July 2002	Debate
Vincent J. Ferlini	Fibonacci relationships geometrically	476	November 2009	Note 93.43
Harley Flanders	A singular integral	276	July 2008	Note 92.36
Tony Forbes	Large prime quadruplets	447	November 2000	Article
Roderick Forman	A Ramanujan equation	525	November 2004	Note 88.63
Colin Foster	Avoiding Pythagoras	110	March 2008	Note 92.16
Colin Foster	Isometric graphs	289	July 2009	Note 93.26
David Fowler	The factorial function: Stirling's formula	42	March 2000	Article
David Fowler	The factorial function	433	November 2000	Article
Michael Fox	Chains, froths and a ten-bead necklace	242	July 2000	Article
Michael Fox	Solving general linear diophantine equations	505	November 2000	Note 84.57
Michael Fox	A Euclidean proof of Aubel's theorem	318	July 2001	Note 85.47
M. D. Fox and J. R. Goggins	Morley's diagram generalised	453	November 2003	Article
M. D. Fox and J. R. Goggins	Cevian axes and related curves	2	March 2007	Article
M D Fox, A Oldknow, J Rigby, E C Zeeman	The Soddy spheres of a 4-ball tetrahedron: Part 1	205	July 2008	Article
M D Fox, A Oldknow, J Rigby, E C Zeeman	The Soddy spheres of a 4-ball tetrahedron: Part 2	418	November 2008	Article
Michael Fox	On notes 90.76 and 90.81	165	March 2008	Feedback
Doug French	Derivatives without limits	279	July 2002	Note 86.37
Doug French	Simplicity and Surprise in School Mathematics (Presidential Address 2007)	387	November 2007	Article
David Frost	Combining sets of marks	166	March 2003	Note 87.29
Joseph S. Fulda	Perfectly marked, fair tests with unfair marks	256	July 2009	Article
P. Gailiunas	Some unusual space-filling solids	230	July 2004	Article
Paul Gailiunas	Orthologic triangles and Miquel's theorem	125	March 2008	Note 92.19
Tony Gardiner	IMO-OMI : Reflections	198	July 2002
N. Gauthier	Explicit formula for power sums of an arithmetic sequence	97	March 2007	Note 91.11
N. Gauthier	Integral powers of order three Latin square matrices	42	March 2009	Article
N. Gauthier	Exact closed forms for determinants of binomial coefficients	98	March 2009	Note 93.07
N. Gauthier	Identities for generalised Fibonacci numbers	261	July 2009	Note 93.18
Glyn George	Testing for the independence of three events	568	November 2004	Note 88.76
Glyn George	A seldom used formula for ODEs	344	July 2008	T. Note
F. Gerrish	Vector products	453	November 2000	Article
A. Ghalamfarsa	Number of arrangements	484	November 2002	Note 86.74
Mostafa Ghandehari	Tennis and basketball the lazy way	501	November 2002	Note 86.79
Gian Mario Gianella	Bounds for arithmetic mean of means	286	July 2004	Note 88.42
David Ginat	Digit-distance Mastermind	437	November 2002	Article
David Ginat	Mathematical operators and ways of reasoning	7	March 2005	Article
P. Glaister	Mathematician versus machine	105	March 2000	Note 84.21
P. Glaister	SHM and projections	116	March 2000	Note 84.26
P. Glaister	The golden tan of mathematics	272	July 2000	Note 84.31
P. Glaister	Least squares revisited	104	March 2001	Note 85.13
P. Glaister	Cylinders, cones and centres of gravity	90	March 2004	Note 88.05
Elizabeth M. Glaister and Paul Glaister	Generalising Alexander's angles	99	March 2006	Note 90.11
P. Glaister	A variation on Pythagoras' identity	96	March 2006	Note 90.09
P. Goetgheluck	(29/25)×(73/43)×(77/65)×(101/75) is close to	228	July 2002	Article
Russell A. Gordon	The aberrancy of plane curves	424	July 2005	Article
Henry W. Gould	A curious identity which is not so curious	87	March 2004	Note 88.03
Mike Grant	Moments of inertia of a lamina	506	November 2006	Note 90.84
M. A. Grant	The inertia matrix of a uniform solid	148	March 2007	Note 91.28
Richard Grassl and Tabitha T.Y. Mingus	Cyclotomic polynomial factors	195	July 2005	Article
I. Grattan-Guinness	A portrayal of right-angled triangles which generate rectangles with sides in integral ratio	66	March 2000	Note 84.01
I. Grattan-Guinness	A geometrical representation of the classical means of two quantities	286	July 2001	Note 85.33
I. Grattan-Guinness	An elegant arithmetical relationship and its generalisation	74	March 2007	Note 91.03
Alexander J. Gray	Digital roots and reciprocals of primes	86	March 2000	Note 84.09
Alexander J. Gray	Unexpected symmetry in a derived Fibonacci sequence	87	March 2000	Note 84.10
Alexander J. Gray	A recurrence relation among Fibonacci sums	89	March 2000	Note 84.11
Ben Green	Ramsey Theory and the IMO	204	July 2002
Raymond N. Greenwell	Donofrio's theorem	261	July 2005	Note 89.42
H. Brian Griffiths	Iterated sequences of triangles	518	November 2005	Note 89.90
Martin Griffiths	Two proofs concerning ‘Octagon loops’	80	March 2001	Note 85.03
Martin Griffiths	Deconstructing a regular -gon	75	March 2002	Note 86.05
Martin Griffiths	“33102 is an integer!”	263	July 2002	Note 86.28
Martin Griffiths	Sums of powers of the terms in any finite arithmetic progression	269	July 2002	Note 86.32
Martin Griffiths	More sums involving the floor function	285	July 2002	Note 86.39
Martin Griffiths	The ‘Self Santa’ problem	487	November 2002	Note 86.75
Martin Griffiths	More sequences from polygons	157	March 2003	Note 87.25
Martin Griffiths	Formulae for the convergents to some irrationals	28	March 2004	Article
Martin Griffiths	Algebraic approximations to some transcendentals via an integral	534	November 2004	Note 88.65
Martin Griffiths	Some obvious facts about the primes?	39	March 2005	Note 89.02
Martin Griffiths	An integral for the careless mathematician	47	March 2005	Note 89.07
Martin Griffiths	Convergents to via the Farey mean?	54	March 2005	Note 89.10
Martin Griffiths	-dimensional enrichment for Further Mathematicians	409	July 2005	Article
Martin Griffiths	Re Error on page 567 November 2004	112	March 2005	Letter
Martin Griffiths	Seeded tournaments—algorithms, simulations and combinatorics	485	November 2005	Note 89.77
Martin Griffiths	Ball in a bucket	93	March 2007	Note 91.10
Martin Griffiths	The highest score in the class	137	March 2007	Note 91.25
Martin Griffiths	Pseudo-convergents	290	July 2007	Note 91.42
Martin Griffiths	Dove-tail sequences	300	July 2007	Note 91.44
Martin Griffiths	‘Catch-up’ numbers	500	November 2007	Article
Martin Griffiths	Deleting blocks of names from a list	540	November 2007	Note 91.71
Martin Griffiths	A property shared by almost all even perfect numbers	269	July 2009	Note 93.19
Martin Griffiths	More on sums of powers of an arithmetic progression	277	July 2009	Note 93.22
Martin Griffiths	Cutting up a -dimensional hypercube with a -dimensional saw	316	July 2009	Note 93.36
Martin Griffiths	To be continued?	495	November 2009	Note 93.49
Martin Griffiths	But which one is it?	491	November 2003	Note 87.53
H. Brian Griffiths	The Divine Proportion, matrices and Fibonacci numbers	14	March 2008	Article
Jonny Griffiths	Could be three?	103	March 2006	Note 90.12
Martin Griffiths	No consecutive heads	561	November 2004	Note 88.75
Martin Griffiths	How many children?	146	March 2006	Note 90.30
Martin Griffiths	A lack of memory	326	July 2006	Note 90.56
Martin Griffiths	Yet another look at the calculus power rules	461	November 2006	Note 90.68
Martin Griffiths	Hypercubes and the normal distribution	223	July 2008	Article
Martin Griffiths	Ellipses, ovals and the area of the M25	282	July 2008	Note 92.38
Martin Griffiths	Affine transformations of the graphs of polynomials	504	November 2008	Note 92.68
Martin Griffiths	Learning Russian	551	November 2008	Note 92.83
Martin Griffiths	Partitioning rugby scores	555	November 2008	Note 92.84
Jonathan Groves	Nice polynomials with three roots	1	March 2008	Article
Jonathan Groves	Nice symmetric and antisymmetric polynomials	437	November 2008	Article
Shay Gueron and Ran Tessler	Infinitely many primes in arithmetic progressions: the cyclotomic polynomial method	110	March 2002	Note 86.18
Shyam Sunder Gupta	Sum of the factorials of the digits of integers	258	July 2004	Note 88.31
Nuran Guzel and Hasan Unal	Proof without words: the sine of a sum	536	November 2008	Note 92.78
Nguyen Minh Ha and Nikolaos Dergiades	An elementary proof of the generalised Fermat problem	141	March 2008	Note 92.26
Izidor Hafner	Labyrinths on polyhedra	315	July 2003	Note 87.43
Sara Hagey and Judith Palagallo	Fractal tilings derived from complex bases	194	July 2001	Article
Gordon Haigh	Truncated polyhedra and Euler's formula	138	March 2004	Note 88.24
Mowaffaq Hajja	What do cycles of a given length generate?	97	March 2000	Note 84.16
Mowaffaq Hajja	On Maekawa's trigonometric inequality	501	November 2000	Note 84.54
Mowaffaq Hajja	A trigonometric identity that G. S. Carr missed . . .	293	July 2001	Note 85.37
Mowaffaq Hajja and Peter Walker	Why must the triangle's medians be concurrent?	482	November 2001	Note 85.62
Mowaffaq Hajja	Extrema of where and are constant	301	July 2009	Note 93.31
Mowaffaq Hajja	On a morsel of Ross Honsberger	309	July 2009	Note 93.33
J. Harries	Area of a quadrilateral	310	July 2002	Note 86.50
Jonathan R. Harris	The ‘difference of square roots’ function	517	November 2004	Note 88.59
Mehdi Hassani	Cycles in graphs and derangements	123	March 2004	Note 88.18
John Hebborn	Mary Bradburn 1918−2000	126	March 2001	Obituary
Nic Heideman	Escribed and inscribed circles of Pythagorean triangles	305	July 2004	Note 88.48
P. W. Hempson	Experimenting with graphs :	497	November 2001	Note 85.69
Peter Hilton and Jean Pedersen	Thoughts on an optimistic expectation of Abbé Mersenne	503	November 2004	Note 88.54
Peter Hilton and Jean Pedersen	On generalised Fibonaccian and Lucasian numbers	215	July 2006	Article
Harvey J. Hindin	From trigonometric identity to hyperbolic identity to Fibonacci-Lucas identity	485	November 2009	Note 93.46
Michael D. Hirschhorn	A proof of Eperson's conjecture	442	November 2000	Article
Michael D. Hirschhorn	Comment on Note 84.59	503	November 2001	Note 85.70
Michael D. Hirschhorn	Comment on ‘Dissecting squares’	286	July 2003	Note 87.33
Michael D. Hirschhorn	Some binomial coefficient identities	288	July 2003	Note 87.34
Michael D. Hirschhorn	Some remarks on difference equations	291	July 2003	Note 87.35
Michael D. Hirschhorn	Sums involving square-free integers	527	November 2003	Note 87.67
Michael D. Hirschhorn	Comment on 85.38 A curious identity	528	November 2003	Note 87.68
Michael Hirschhorn	On note 87.33	156	March 2004	Feedback
Michael Hirschhorn	On Taking Perspective (Nov 2003)	319	July 2004	Feedback
Michael Hirschhorn	On note 87.71	320	July 2004	Feedback
Michael D. Hirschhorn	Comments on ‘Triangular numbers and perfect squares’	500	November 2004	Note 88.53
Michael Hirschhorn	On note 87.55	578	November 2004	Feedback
Michael Hirschhorn	On note 87.66	579	November 2004	Feedback
Michael Hirschhorn	On Formulae for convergents to some irrationals	580	November 2004	Feedback
Michael Hirschhorn	On note 88.12	582	November 2004	Feedback
Michael Hirschhorn	On note 88.33	105	March 2005	Feedback
Michael Hirschhorn	On note 88.42	106	March 2005	Feedback
Michael D. Hirschhorn	An identity involving binomial coefficients	256	July 2005	Note 89.38
Michael Hirschhorn	On note 88.39	304	July 2005	Feedback
Michael Hirschhorn	On note 88.55	305	July 2005	Feedback
Michael Hirschhorn	On ‘Beyond the Euler summation formula’	305	July 2005	Feedback
Michael Hirschhorn	On note 88.61	306	July 2005	Feedback
Michael Hirschhorn	On note 88.64	308	July 2005	Feedback
Michael Hirschhorn	On note 88.63	308	July 2005	Feedback
Michael Hirschhorn	On note 88.67	309	July 2005	Feedback
Michael Hirschhorn	On note 88.75 (a correction)	310	July 2005	Feedback
Michael Hirschhorn	On note 88.02	529	November 2005	Feedback
Michael Hirschhorn	On note 89.01	530	November 2005	Feedback
Michael Hirschhorn	On note 89.08	531	November 2005	Feedback
Michael D. Hirschhorn	The number of partitions of a number into distinct squares	80	March 2006	Note 90.04
Michael D. Hirschhorn	Evaluating	114	March 2006	Note 90.16
Michael Hirschhorn	On Note 88.55	151	March 2006	Feedback
Michael Hirschhorn	On Note 89.32	152	March 2006	Feedback
Michael Hirschhorn	A new version of Stirling's formula	286	July 2006	Note 90.40
Michael D. Hirschhorn	On Euler's constant	295	July 2006	Note 90.43
Michael D. Hirschhorn	The new neighbours problem: a solution	321	July 2006	Note 90.54
Michael Hirschhorn	On An asymptotic formula for powers of binomial coefficients	341	July 2006	Feedback
Michael Hirschhorn	On The aberrancy of plane curves	343	July 2006	Feedback
Michael Hirschhorn	On Note 89.53	345	July 2006	Feedback
Michael Hirschhorn	On Note 89.55	346	July 2006	Feedback
Michael Hirschhorn	On Note 89.46	516	November 2006	Feedback
Michael Hirschhorn	On Numerical intgration - a different approach	516	November 2006	Feedback
Michael Hirschhorn	On Note 90.19	522	November 2006	Feedback
Michael Hirschhorn	On Note 90.09	522	November 2006	Feedback
Michael Hirschhorn	On Note 90.15	523	November 2006	Feedback
Michael Hirschhorn	On Note 90.30	524	November 2006	Feedback
Michael Hirschhorn	On: Two remarks about Sudoku squares	153	March 2007	Feedback
Michael Hirschhorn	On 90.35	153	March 2007	Feedback
Michael Hirschhorn	On 90.06	153	March 2007	Feedback
Michael Hirschhorn	On 89.55	153	March 2007	Feedback
Michael D. Hirschhorn	Extrema of a symmetric function	264	July 2007	Note 91.35
Michael Hirschhorn	On 90.60	349	July 2007	Feedback
Michael Hirschhorn	On 90.66	351	July 2007	Feedback
Michael Hirschhorn	On 90.67	352	July 2007	Feedback
Michael D. Hirschhorn	Teaching integration	547	November 2007	T. Note
Mike Hirschhorn	On 91.02	551	November 2007	Feedback
Mike Hirschhorn	On 91.01	551	November 2007	Feedback
Mike Hirschhorn	On 91.04	552	November 2007	Feedback
Mike Hirschhorn	On 91.10	552	November 2007	Feedback
Mike Hirschhorn	On 91.13	553	November 2007	Feedback
Mike Hirschhorn	On 91.15	554	November 2007	Feedback
Mike Hirschhorn	On 91.18	555	November 2007	Feedback
Mike Hirschhorn	On 91.34	556	November 2007	Feedback
Mike Hirschhorn	On 91.43	557	November 2007	Feedback
Michael D. Hirschhorn		560	November 2007	Letter
Michael D. Hirschhorn	Three scenarios involving elastic collisions	154	March 2008	Note 92.29
Michael D. Hirschhorn	Pythagoras' Theorem	565	November 2008	Note 92.87
Mike Hirschhorn	On 91.47	351	July 2008	Feedback
Mike Hirschhorn	On 91.48	354	July 2008	Feedback
Mike Hirschhorn	On 91.04	570	November 2008	Feedback
Mike Hirschhorn	On 89.55:	150	March 2009	Feedback
Mike Hirschhorn	On: 92.27:	151	March 2009	Feedback
Mike Hirschhorn	On 92.62:	359	July 2009	Feedback
Mike Hirschhorn	On 92.70:	360	July 2009	Feedback
Mike Hirschhorn	On 92.72:	363	July 2009	Feedback
Mike Hirschhorn	On 92.83:	364	July 2009	Feedback
Mike Hirschhorn	On 92.84:	365	July 2009	Feedback
Mike Hirschhorn	A surprising observation	536	November 2009	Letter
Mike Hirschhorn	On 91.14:	537	November 2009	Feedback
Mike Hirschhorn	On 92.05:	537	November 2009	Feedback
Mike Hirschhorn	On 92.15:	538	November 2009	Feedback
Mike Hirschhorn	On 93.05:	540	November 2009	Feedback
Mike Hirschhorn	On 93.01:	540	November 2009	Feedback
Graham T. Q. Hoare	One hundred years on	2	March 2000	Article
G. T. Q. Hoare and N. J. Lord	‘Intégrale, longueur, aire’− the centenary of the Lebesgue integral	3	March 2002	Article
G. T. Q. Hoare	1936: Post, Turing and ‘a kind of miracle’	2	March 2004	Article
Graham Hoare	On 90.86	355	July 2007	Feedback
Graham Hoare	Leonhard Euler (1707-1783)	406	November 2007	Article
Graham Hoare	On 91.54	558	November 2007	Feedback
Graham Hoare	Bernhard Riemann's legacy of 1859	468	November 2009	Article
Larry Hoehn	Circumradius of a cyclic quadrilateral	69	March 2000	Note 84.02
Larry Hoehn	A neglected Pythagorean-like formula	71	March 2000	Note 84.03
Larry Hoehn	Weighted mean in a trapezium	102	March 2000	Note 84.19
Larry Hoehn	Perpendiculars and inscribed polygons	502	November 2000	Note 84.55
Larry Hoehn	A Ceva-type theorem for the cyclic quadrilateral	282	July 2005	Note 89.49
Larry Hoehn	A cyclic property of equilateral polygons	308	July 2006	Note 90.47
Larry Hoehn	Two proofs of a Pythagorean-like theorem	490	November 2006	Note 90.79
Larry Hoehn	A generalisation of Pythagoras' theorem	316	July 2008	Note 92.49
Finbarr Holland	Two more maximum problems without calculus	284	July 2004	Note 88.41
Finbarr Holland	An inequality by ‘rank and file’ methods	522	November 2004	Note 88.61
G. C. Holmes	The use of hyperbolic cosines in solving cubic polynomials	473	November 2002	Note 86.70
Peter Holmes	Proof without words:	267	July 2002	Note 86.31
Neville Holmes	Multiplying with quarter squares	296	July 2003	Note 87.36
Derek Holton	The frog problem: more than you might want to know	398	November 2009	Article
Graham Howlett	On note 88.46	108	March 2005	Feedback
Geoffrey Howson	John William Hersee (1930−2005)	525	November 2005	Obituary
Geoffrey Howson	Alan Turing	350	July 2006	Letter
Steve Humble	Grandma's identity	524	November 2004	Note 88.62
Steve Humble	Rendezvous constants	287	July 2008	Note 92.40
Koichi Ikari	The projection of chords of a parabola on to the directrix	326	July 2003	Note 87.48
Guy Inchbald	In search of the lost icosahedra	208	July 2002	Article
Guy Inchbald	Facetting diagrams	253	July 2006	Article
Claire Irving	Making the real projective plane	417	July 2005	Article
G. Jackson	A very curious number	84	March 2001	Note 85.04
G. Jackson	Chain reaction	509	November 2002	Note 86.82
Terence Jackson	On Note 91.31	350	July 2008	Feedback
Janet Jagger	Components of a force (or any vector)	331	July 2002	Note 86.58
Tim Jameson	On a conjecture of Paul Thompson	107	March 2000	Note 84.22
Tim Jameson	On: Summing Euler's -function	150	March 2009	Feedback
G. J. O. Jameson	Counting zeros of generalised polynomials	223	July 2006	Article
Graham Jameson and Nicholas Jameson	Three answers to an integral	457	November 2006	Note 90.65
Walther Janous and Jeremy King	More on a sine product formula	113	March 2000	Note 84.24
John H. Jaroma	On a generalised divisibility property of primes and the Fibonacci numbers	486	November 2003	Note 87.52
John H. Jaroma	Proof without words: Pappus' generalisation of Pythagoras' theorem	493	November 2005	Note 89.79
John H. Jaroma and James M. Mitchell	Non-existence of Fibonacci and Lucas numbers in amicable pairs of opposite parity	451	November 2005	Note 89.57
Udaya C. Jayatilake	Calculations on face and vertex regular polyhedra	76	March 2005	Note 89.19
Jun Ji, Charles Kicey	The four number game and Pascal's triangle	280	July 2001	Note 85.30
Andrew Jobbings	On note 87.47	318	July 2004	Feedback
Andrew Jobbings	On note 87.57	320	July 2004	Feedback
Andrew Jobbings	Dissecting a triangle into a rectangle	501	November 2005	Note 89.83
Andrew Jobbings	On Note 88.15	150	March 2006	Feedback
Andrew Jobbings	On Note 90.05	522	November 2006	Feedback
Andrew Jobbings	A surprising relationship?	92	March 2007	Note 91.09
Andrew Jobbings	The ladder problem	348	July 2008	Letter
Andrew Jobbings	On 91.08	349	July 2008	Feedback
Roger W. Johnson	Clarifying conditional calculations with ‘Jolly Roger’	66	March 2001	Article
C. M. Jones	Re Historical Gleanings	312	July 2005	Letter
Chris Jones	On Note 90.05	520	November 2006	Feedback
Michael A. Jones and Janet L. Stonick	The sprinkler problem - a mathematician waters the lawn	50	March 2006	Article
Iyoung Michelle Jung	A proof of	510	November 2008	Note 92.69
Iyoung Michelle Jung and Sung Soo Kim	Alternating signs in the Euler-Poincaré formula	109	March 2009	Note 93.11
Basil C. Kahan	On note 88.46	587	November 2004	Feedback
Pl. Kannappan	Trigonometric identities and functional equations	249	July 2004	Article
N. N. Kasturiwale and M. N. Deshpande	A surprising identity involving Fibonacci numbers	277	July 2003	Note 87.30
Ken-ichiroh Kawasaki, Y. Yagi and K. Yanagawa	On Viviani's theorem in three dimensions	283	July 2005	Note 89.50
G. Keady, P. Scales and S. Z. Németh	Watt linkages and quadrilaterals	475	November 2004	Article
Donald Keedwell	Square-triangular numbers	292	July 2000	Note 84.39
A. Donald Keedwell	Critical sets in latin squares: an intriguing problem	239	July 2001	Article
A. D. Keedwell	Defining sets for magic squares	417	November 2006	Article
A. D. Keedwell	Two remarks about Sudoku squares	425	November 2006	Article
A. D. Keedwell	Euclid's algorithm and the money changing problem	259	July 2008	Note 92.31
Richard Kenderdine	On note 88.08	582	November 2004	Feedback
Richard Kenderdine	On note 88.62	307	July 2005	Feedback
Clark Kimberling	Twenty-one points on the nine-point circle	29	March 2008	Article
Jeremy D. King	Timetable spread and lattice energies	222	July 2005	Article
Jeremy King	Timetable spread	516	November 2000	Note 84.61
Jeremy D. King	The mathematics of equal temperament revisited	329	July 2002	Note 86.57
Jeremy D. King	Integer roots of polynomials	455	November 2006	Note 90.63
Jeremy D. King	Are even numbers more common than odd numbers?	549	November 2007	T. Note
Jeremy D. King	Angles in croquet	150	March 2008	Note 92.28
Joe Kingston and Des MacHale	Dissecting squares	403	November 2001	Article
Joe Kingston and Des MacHale	Some improved dissections of squares	280	July 2003	Note 87.32
Richard Kirby	A further note on Feynman's triangle and a slight generalisation	108	March 2005	Feedback
Richard Kirby	Right answer, wrong reason	143	March 2006	Note 90.28
Adrian R. Kitson	The prime analogue of the Kepler-Bouwkamp constant	293	July 2008	Note 92.42
Yukio Kobayashi	Geometrical meaning of the quotient rule for differentiation	303	July 2000	Note 84.45
Yukio Kobayashi	Combining trigonometric functions by way of vector products	124	March 2001	Note 85.22
Yukio Kobayashi	Derivative of trigonometrical functions via matrices	116	March 2001	Note 85.18
Yukio Kobayashi	Proof without words	479	November 2001	Note 85.59
Yukio Kobayashi	Proof without words: A geometric inequality	293	July 2002	Note 86.42
Yukio Kobayashi	A geometrical key to the solution of the differential equation:	163	March 2003	Note 87.28
J. J. Kobine	Which is larger, or ?	305	July 2003	Note 87.38
Reginald Koo	Relation between work in two inertial frames	213	July 2009	Article
Adam Korányi	Tetrahedra and vectors	317	July 2006	Note 90.52
Thomas Koshy	Weighted Fibonacci and Lucas sums	93	March 2001	Note 85.09
Thomas Koshy	Summing integer cubes using Thébault's array of arithmetic sequences	271	July 2002	Note 86.33
Thomas Koshy	Immediate successors and predecessors of Fibonacci and Lucas numbers	457	November 2002	Note 86.60
Thomas Koshy	Generalised Fibonacci Pythagorean triples	459	November 2002	Note 86.61
Thomas Koshy	A pair of floor and ceiling formulas	514	November 2003	Note 87.62
Thomas Koshy	On the family of subsets of a finite set	118	March 2004	Note 88.16
Thomas Koshy	Digital roots of Mersenne primes and even perfect numbers	464	November 2005	Note 89.64
Thomas Koshy and Mohammad Salmassi	Cassini-like formulas for Jacobsthal and Koshy polynomials	68	March 2006	Note 90.01
Thomas Koshy	Lattice points in a family of hyperbolas	314	July 2006	Note 90.50
Thomas Koshy	The central elements in Josef's triangle	63	March 2007	Note 91.01
Thomas Koshy	Pythagorean triples with Pell generators	486	November 2008	Note 92.62
Thomas Koshy and Mohammad Salmassi	Tribinomial coefficients and Catalan numbers	449	November 2009	Article
Thomas Koshy	Nested Fibonacci and Lucas radical sums	83	March 2009	Note 93.01
Irena Kosi-Ulbl	The main body of some irrational complex functions	42	March 2001	Article
Irena Kosi-Ulbl	The sequence of -dimensional cube-fractals	51	March 2009	Article
Panagiotis T. Krasopoulos	A comment on the solution of finite-difference equations	277	July 2002	Note 86.36
P. T. Krasopoulos	A result on the sequence of primes	41	March 2005	Note 89.03
Philip W. Kuchel	Can you ‘bend’ a truncated octahedron?	533	November 2007	Note 91.69
Philip W. Kuchel	revealed	546	November 2008	Note 92.82
Mitsuhiro Kumano	A generalisation of the limits of square roots	519	November 2009	Note 93.54
Anand Kumar	Definite integration via areas	95	March 2002	Note 86.12
Anand Kumar	Wrong method but right answer	516	November 2003	Note 87.63
Awani Kumar	Magic knight's tours for chess in three dimensions	111	March 2008	Note 92.17
Yaakov S. Kupitz and Horst Martini	Infinite roots of the quadratic equation and tangents to conic sections at infinity	76	March 2002	Note 86.06
Leo Kurlandchik and Andrzej Nowicki	When the sum equals the product	91	March 2000	Note 84.13
Kavita Laghate and M. N. Deshpande	Some surprising results associated with permutations	333	July 2006	Note 90.58
Ron Larham	A curved railway platform canopy	278	July 2008	Note 92.37
D. F. Lawden	Touching hyperspheres	75	March 2000	Note 84.05
Imre Leader	41st International Mathematical Olympiad	140	March 2001	Report
Ho-Joo Lee	A trigonometric proof of Ptolemy's theorem	479	November 2001	Note 85.60
Matthew Lee	Four circles and a triangle	130	March 2006	Note 90.22
R. T. Leslie	A theorem of M. L. Urquhart's and some consequences	39	March 2007	Article
King-Shun Leung and Chong-Lap Sze	Paper folding fractions	87	March 2007	Note 91.08
Gerry Leversha and Paul Woodruff	From triangle to hyperbola	311	July 2002	Note 86.51
Gerry Leversha	What is meant by ‘the smallest possible’ number?	493	November 2004	Debate
Gerry Leversha and G. C. Smith	Euler and triangle geometry	436	November 2007	Article
Gerry Leversha	A property of the diagonals of a cyclic quadrilateral	116	March 2009	Note 93.14
Paul Levrie and Hilde Missinne	Reflections on an exponential mirror	59	March 2007	Article
Timothy Lewis	On note 88.76	311	July 2005	Feedback
Barry Lewis	Partitioning a set	51	March 2002	Article
Barry Lewis	Power chords	233	July 2002	Article
Barry Lewis	More Power to Fibonacci	194	July 2003	Article
Barry Lewis	Taking perspective	418	November 2003	Article
Barry Lewis	Fibonacci numbers and trigonometry	194	July 2004	Article
Barry Lewis	Beyond the Euler summation formula	432	November 2004	Article
Barry Lewis	Generalising Pascal's Triangle	447	November 2004	Article
Barry Lewis	Cycles, bicycles, tricycles and more	392	July 2005	Article
Barry Lewis	Trigonometry and Fibonacci numbers	216	July 2007	Article
Barry Lewis	More power to Pascal	454	November 2008	Article
Barry Lewis	Some odd permutations	441	November 2009	Article
Hans Liebeck	A curious string of nines	431	November 2001	Article
Hans Liebeck	A short cut in long division	463	November 2001	Note 85.52
Teik-Cheng Lim	Two infinite nested radical constants	96	March 2008	Note 92.12
E. Keith Lloyd	Royal Mail 4-state Barcodes	486	November 2000	Note 84.50
Peter Loly	The invariance of the moment of inertia of magic squares	151	March 2004	Note 88.30
Michael Longuet-Higgins	Shooting for pi: the bowstring lemma	216	March 2000	Article
Michael S. Longuet-Higgins	On the ratio of the inradius to the circumradius of a triangle	119	March 2003	Note 87.10
Nick Lord	Another cautionary chi-square calculation	119	March 2000	Note 84.27
Nick Lord	More powerful patterns	280	July 2000	Note 84.35
Nick Lord	A stats-bite: symmetrical confidence intervals are the narrowest	311	July 2000	Note 84.49
Nick Lord	More on the relative location of means II	114	March 2001	Note 85.17
Nick Lord	More publicity for a median-mean inequality	117	March 2001	Note 85.19
Nick Lord	When is an oval not an ellipse?	92	March 2002	Note 86.11
Nick Lord	Two other transcendental numbers obtained by (mis)calculating	103	March 2002	Note 86.16
Nick Lord	Does smaller spread always mean larger product?	273	July 2002	Note 86.34
Nick Lord	A trigonometrical howler explored	296	July 2002	Note 86.44
Nick Lord	Yet another proof that	477	November 2002	Note 86.71
Nick Lord	Maths bite: sides of regular polygons	490	November 2002	Note 86.76
Nick Lord	Generalising an integration ‘joke’	123	March 2003	Note 87.12
Nick Lord	Maths bite: seeing the divergence of the harmonic series	125	March 2003	Note 87.13
Nick Lord	An elementary single-variable proof of	308	July 2003	Note 87.40
Nick Lord	The number of terminating zeroes of	264	July 2004	Note 88.35
Nick Lord	Extending a GCSE coursework task on consecutive sums	298	July 2004	Note 88.45
Nick Lord	A moments of inertia proof of Euler's formula for	59	March 2005	Note 89.12
Nick Lord	The inequality of means using a difference equation	471	November 2005	Note 89.69
Nick Lord	Measuring with a piece of string—or putting the into catenary	484	November 2005	Note 89.76
Nick Lord	On note 89.27	533	November 2005	Feedback
Nick Lord	Some more irrational thoughts	256	July 2007	Note 91.32
Nick Lord	Maths bite: an unusual proof that is irrational	256	July 2007	Note 91.31
Nick Lord	Folding graphs: a rich source of calculus examples	270	July 2007	Note 91.37
Nick Lord	Generalising an examination problem on maximisation	279	July 2007	Note 91.39
Nick Lord	An amusing sequence of trigonometrical integrals	281	July 2007	Note 91.40
Nick Lord	Similarity properties of the Bride’s Chair	328	July 2007	Note 91.52
Nick Lord	Maths bite: the ‘perpendicular-parallel’ axes theorem	331	July 2007	Note 91.53
Nick Lord	On 90.66	350	July 2007	Feedback
Nick Lord	On 90.67	353	July 2007	Feedback
Nick Lord		356	July 2007	Letter
Nick Lord	Intriguing integrals: an Euler-inspired odyssey	415	November 2007	Article
Nick Lord	Golden bounds for the roots of quadratic equations	549	November 2007	T, Note
Nick Lord	A uniform construction of some infinite coprime sequences	66	March 2008	Note 92.03
Nick Lord and Paul Glaister	A generalised algebraic identity bites Pythagoras	82	March 2008	Note 92.07
Nick Lord	Maths bite: averaging polygons	134	March 2008	Note 92.22
Nick Lord	Maths bite: Pythagoras causes chaos!	290	July 2008	Note 92.41
Nick Lord	Euler-type constants for the mid-ordinate rule	300	July 2008	Note 92.44
Nick Lord	‘Look-see’ constructions of a regular pentagon	324	July 2008	Note 92.54
Nick Lord	The closed form evaluation of and related Eulerian sums	522	November 2008	Note 92.73
Nick Lord	On inequalities equivalent to the inequality of the means	529	November 2008	Note 92.74
Nick Lord	Maths bite: irrational powers of irrational numbers can be rational	534	November 2008	Note 92.76
Nick Lord	Proofs of the irrationality of	167	March 2008	Letter
Nick Lord	On Note 91.19	349	July 2008	Feedback
Nick Lord	On 92.71:	363	July 2009	Feedback
Nick Lord	On 93.01:	539	November 2009	Feedback
Nick Lord	Maths bite: two uses for an algebraic identity	88	March 2006	Note 90.06
Nick Lord	A trigonometrical surprise: Alexander's angles	97	March 2006	Note 90.10
Nick Lord	On Note 89.54	157	March 2006	Feedback
Nick Lord	More on the family of subsets of a finite set	273	July 2006	Note 90.35
Nick Lord	When is the product of consecutive triangular numbers a perfect square?	448	November 2006	Note 90.61
Nick Lord	Poisson's other distribution and a variance inequality	514	November 2006	Note 90.88
Nick Lord	On Note 90.01	519	November 2006	Feedback
Zhiqin Lu	An optimal inequality	521	November 2007	Note 91.63
Florian Luca	Digital patterns in perfect squares	289	July 2000	Note 84.38
Stephen K. Lucas and Jason Rosenhouse	Optimal strategies for the progressive Monty Hall problem	410	November 2009	Article
T. Nigel Lucas	Diagrammatic representation of trigonometric functions	511	November 2009	Note 93.53
Qiu-Ming Luo, Bai-ni Guo and Feng Qi	Evaluation of a class of improper integrals of the first kind	534	November 2003	Note 87.71
Mark A. M. Lynch	Creating recreational Hamiltonian cycle problems	215	July 2004	Article
Jim MacDougall	Mersenne composites and cyclotomic primes	71	March 2003	Article
P. MacGregor	Rapid decimal expansion of rational fractions	458	November 2005	Note 89.61
Peter Macgregor	A rapid method to find a tangent to a circle	160	March 2008	T. Note
Des MacHale	Diophantine boxes	211	March 2000	Article
Desmond MacHale	A maximum without calculus	288	July 2001	Note 85.34
Des MacHale	revisited	468	November 2001	Note 85.54
Des MacHale	On a particular Diophantine equation	246	July 2005	Note 89.32
Des MacHale	Mathematical Humour Corner	352	July 2006	Miscellaneous
Des MacHale	Positive solutions of Mordell's equation	262	July 2007	Note 91.34
Des MacHale	Elementary bounds for the prime	512	November 2007	Note 91.59
Des MacHale	A touch of heuristics	523	November 2007	Note 91.64
Des MacHale	Vector addition in the 21st century	547	November 2007	T. Note
Des MacHale	The well-ordering principle for	257	July 2008	Note 92.30
D. MacHale and C. van den Bosch	Some Diophantine tricks	490	November 2008	Note 92.63
Des MacHale	A mathematical gem	536	November 2008	Note 92.79
Des MacHale	The distance from a point to a line	159	March 2008	T. Note
Des MacHale	Integration without tears − two for the price of one	160	March 2008	T. Note
Des MacHale and Peter MacHale		142	March 2009	T. Note
Robert Macmillan	Continued fractions	30	March 2000	Article
Taichi Maekawa	Two intuitive proofs of Heron's formula	546	November 2004	Note 88.69
John Mahony	The cone-paraboloid intercept	235	July 2008	Article
John Mahony	An improved approximation to a well-known integral	106	March 2008	Note 92.15
John Mahony	On 92.11	570	November 2008	Feedback
John Mahony	Pseudo Fibonacci type sequences and their ‘golden mean’ ratios	483	November 2009	Note 93.45
S. N. Maitra	Evaluation of two integrals by a reduction process	496	November 2001	Note 85.68
Géza Makay	Difference equations, binomial coefficients and exponential functions	468	November 2000	Article
Maria Flavia Mammana and Biagio Micale	Quadrilaterals of triangle centres	466	November 2008	Article
Martin J. Marriott	Probability of flooding	506	November 2002	Note 86.81
D. Martin	On the integral in Notes 83.15 and 83.63	301	July 2000	Note 84.44
Gordon Mason	On From integer Lorentz transformations to Pythagoras (Mar 2004)	321	July 2004	Feedback
John Mason	Generalising ‘Sums of cubes equal to squares of sums’	50	March 2001	Article
Dmitry Mavlo	Beauty is truth: geometric inequalities	423	November 2000	Article
Philip Maynard	Average bridge points	128	March 2002	Note 86.23
Philip Maynard	Random dart averages	131	March 2002	Note 86.24
Philip Maynard	Division power	261	July 2002	Note 86.27
Philip Maynard and Yinghui Zhou	Rationally approximating square roots	112	March 2004	Note 88.12
Philip Maynard and Gerry Leversha	Pythagoras' theorem for quadrilaterals	128	March 2004	Note 88.20
Philip Maynard and Yinghui Zhou	Convergent Fibonacci-type sequences	529	November 2004	Note 88.64
Philip Maynard	On note 88.02	581	November 2004	Feedback
Philip Maynard	Perfect, and almost perfect, Pythagorean triangles	36	March 2005	Note 89.01
Philip Maynard and Yinghui Zhou	When the perimeter divides the area of a triangle	235	July 2005	Note 89.28
Philip Maynard	Geometric-mean sequences	270	July 2005	Note 89.46
Philip Maynard	Extended polygons	287	July 2005	Note 89.51
Philip Maynard and Yinghui Zhou	Discrete cycloids	292	July 2005	Note 89.53
Philip Maynard	Another representation of Pythagorean triples	456	November 2005	Note 89.60
Philip Maynard	A generalised coin-tossing problem	522	November 2005	Note 89.91
Philip Maynard	Partitioning sets of polygonal numbers	77	March 2006	Note 90.03
Adam McBride	IMOs I have known	196	July 2002
Adam McBride	Mathematics: The greatest subject in the world (2005 Presidential Address)	354	July 2005	Article
Mark McCartney and Sharon Gibson	Differential equations, traffic dynamics and the roots of unity	502	November 2006	Note 90.83
R. J. McGregor and G. P. Shannon	On the generalised birthday problem	242	July 2004	Article
D. G. C. McKeon, T. N. Sherry	Exploring cyclotomic polynomials	59	March 2001	Article
K. Robin McLean	What proportion of integers are the sum of two squares?	470	November 2001	Note 85.55
K. Robin McLean	The prime factors of	466	November 2002	Note 86.65
K. Robin McLean	The prime factors of	101	March 2003	Note 87.03
K. Robin McLean and John R. Silvester	Loops of regular -gons	512	November 2003	Note 87.61
Robin McLean	On Bob Burn's letter (July 2003)	157	March 2004	Feedback
K. Robin McLean	Cyclotomic and double angle polynomials	208	July 2004	Article
K. Robin McLean	Correction to March 2004 Feedback	322	July 2004	Letter
K. Robin McLean	A powerful algebraic tool for equiangular polygons	513	November 2004	Note 88.57
K. Robin McLean	Partitions of primes and other sequences	15	March 2005	Article
K. Robin McLean	The tiling conjecture for equiangular polygons	28	March 2005	Article
K. Robin McLean	Determinants of binomial coefficients	247	July 2005	Note 89.33
K. Robin McLean	Groups of rational functions	208	July 2007	Article
K. Robin McLean	Trisecting angles with ruler and compasses	320	July 2008	Note 92.52
John Melville	Some simple geometric inequalities	136	March 2004	Note 88.23
John Melville	A polygon inequality	68	March 2005	Note 89.16
Peter R. Mercer	On a precursor to Stirling's formula	530	November 2003	Note 87.69
Csaba Mihálykó and Tibor Blickle	On the approximation of the lognormal distribution	308	July 2000	Note 84.48
Tabitha T.Y. Mingus and Richard Grassl	Peak numbers	44	March 2002	Article
Nguyen Minh Ha	Extending the Fermat-Torricelli problem	316	July 2002	Note 86.52
Douglas W. Mitchell	An alternative characterisation of all primitive Pythagorean triples	273	July 2001	Note 85.27
Douglas W. Mitchell	Using Pythagorean triples to generate square roots of	499	November 2003	Note 87.57
Douglas W. Mitchell	More on solving non-linear matrix equations	87	March 2004	Note 88.04
Douglas W. Mitchell	More on spreads and non-arithmetic means	142	March 2004	Note 88.27
Douglas Mitchell	On note 86.49	316	July 2004	Feedback
Douglas W. Mitchell	A Heron-type formula for the reciprocal area of a triangle	494	November 2005	Note 89.80
Douglas Mitchell	On Note 89.41	153	March 2006	Feedback
Douglas W. Mitchell	On Note 88.56	340	July 2006	Feedback
Douglas W. Mitchell	On Note 89.54	345	July 2006	Feedback
Douglas W. Mitchell	On Note 89.70	348	July 2006	Feedback
Douglas W. Mitchell	Heron triangles with	326	July 2007	Note 91.51
Douglas W. Mitchell	Solving cubics by solving triangles	514	November 2007	Note 91.60
Douglas W. Mitchell	The 2:3:4, 3:4:5, 4:5:6 and 3:5:7 triangles	317	July 2008	Note 92.50
Douglas W. Mitchell	A Heron-type area formula in terms of sines	108	March 2009	Note 93.10
Douglas W. Mitchell	On: 92.47:	156	March 2009	Feedback
Douglas W. Mitchell	On: 92.47:	156	March 2009	Feedback
Douglas W. Mitchell	The area of a quadrilateral	306	July 2009	Note 93.32
Douglas W. Mitchell	On 92.60:	358	July 2009	Feedback
Douglas W. Mitchell	Powers of as roots of cubics	481	November 2009	Note 93.44
Douglas W. Mitchell	On 93.15:	541	November 2009	Feedback
Douglas W. Mitchell	On Introducing congruent triangles:	541	November 2009	Feedback
David Monk	On: Quadrilaterals of triangle centres:	157	March 2009	Feedback
Guy Moore and Richard Moore	A special gravitating annulus	347	July 2009	Note 93.42
D. C. Morrow	A digit function with infinitely many 1-cycles	105	March 2002	Note 86.17
W. D. Munn	Ellipses circumscribing convex quadrilaterals	566	November 2008	Note 92.89
R. V. W. Murphy	Iterative solutions of	493	November 2000	Note 84.52
R. V. W. Murphy	Differential equations	227	July 2007	Article
Robin Murphy	Exploring numerical integration on a spreadsheet	537	November 2008	Note 92.80
Robin V. W. Murphy	Summing powers of natural numbers	279	July 2009	Note 93.23
Kandasamy Muthuvel and Jayanthi Ganapathy	Ratio and root tests	477	November 2005	Note 89.73
Atsuhiro Nakamoto and Mamoru Watanabe	How many tetrahedra?	491	November 2002	Note 86.77
David K. Neal	Average lengths for the two-player Name Game	51	March 2007	Article
David Nelson	On 90.74	354	July 2007	Feedback
Gerald Newth	World order from chaotic beginnings	39	March 2004	Article
Gerald Newth	General solution for velocity-squared damping	556	November 2004	Note 88.74
David Chee-Eng Ng	Another proof of the Cauchy-Schwarz inequality − with complex algebra	104	March 2009	Note 93.08
R. W. D. Nickalls	A conic theorem generalised	232	July 2000	Article
R. W. D. Nickalls	The quadratic formula is a particular case	276	July 2000	Note 84.34
R. W. D. Nickalls	Viète, Descartes and the cubic equation	203	July 2006	Article
R. W. D. Nickalls	The quartic equation: invariants and Euler's solution revealed	66	March 2009	Article
RWD Nickalls	On: 92.35:	154	March 2009	Feedback
Constantin Niculescu	On the Hermite-Hadamard inequality	304	July 2001	Note 85.42
Masakazu Nihei	Finding some trigonometrical identities from a simple figure	272	July 2000	Note 84.32
Masakazu Nihei	Two proofs of a trigonometric identity	298	July 2002	Note 86.45
Masakazu Nihei	Limits of square roots	299	July 2002	Note 86.46
Masakazu Nihei	Limits of certain sequences	126	March 2003	Note 87.14
J. R. Nurcombe	On an infinite series	514	November 2008	Note 92.71
Jane O'Flynn	When is the sum of consecutive powers an power?	71	March 2008	Note 92.05
Michael O'Loughlin	A property of rectangles	81	March 2005	Note 89.20
Michael O'Loughlin	On Note 89.60	344	July 2006	Feedback
Michael O'Loughlin	On Note 89.21	344	July 2006	Feedback
Michael O'Loughlin	Graphs of quadratic polynomials	495	November 2008	Note 92.65
Michael O'Loughlin	The centre of symmetry of a cubic polynomial	497	November 2008	Note 92.66
Kenzi Odani	Maximal volume of curved folding boxes	110	March 2000	Note 84.23
Kenzi Odani and Tomoko Murakami	A strange property of floating bodies	572	November 2003	Note 87.82
Hiroshi Okumura and Masayuki Watanabe	A right triangle inscribed in a similar right triangle	138	March 2006	Note 90.26
Christopher Ormell	Can we understand uncountability?	252	July 2008	Debate
Thomas J. Osler	An unusual product for and variations of Wallis’s product	134	March 2003	Note 87.17
Thomas J. Osler	Proof without words—arc length of the cycloid	250	July 2005	Note 89.34
Thomas J. Osler	The general Vieta-Wallis product for	371	July 2005	Article
Thomas J. Osler	Interesting finite and infinite products from simple algebraic identities	90	March 2006	Note 90.07
Thomas J. Osler	Proof with few words: quadratic convergence of the AGM	116	March 2006	Note 90.17
Thomas J. Osler	Some long telescoping series	104	March 2007	Note 91.12
Thomas J. Osler and Jim Zeng	Finding from a recursion relation for Bernoulli numbers	123	March 2007	Note 91.20
Thomas J. Osler and Adam Hilburn	An unusual proof that divides using hyperbolic functions	510	November 2007	Note 91.58
Thomas J. Osler	Euler's little summation formula and special values of the zeta function	295	July 2008	Note 92.43
Thomas J. Osler	A remarkable formula for approximating the sum of alternating series	76	March 2009	Article
Thomas Osler and Walter Jacob	A modern look at a neglected summation formula by Euler	237	July 2009	Article
S. Parameswaran	Numbers and their Digits — III	268	July 2001	Note 85.24
A. Robert Pargeter	Comment on Note 83.51	316	July 2001	Note 85.45
A. Robert Pargeter	Fibonacci goes hyperbolic	476	November 2001	Note 85.57
A. Robert Pargeter	Reply to Hugh Thurston	79	March 2004	Debate
A. Robert Pargeter	On note 87.55	319	July 2004	Feedback
A. Robert Pargeter	On note 88.46	587	November 2004	Feedback
A. Robert Pargeter	On note 88.48	587	November 2004	Feedback
Robert Pargeter	On note 88.46	107	March 2005	Feedback
Robert Pargeter	On note 88.54	305	July 2005	Feedback
A. Robert Pargeter	Division algorithm	350	July 2006	Letter
A. Robert Pargeter	Right answer - wrong reason	526	November 2006	Letter
R. B. Paris	More on a generalisation of the limit definition of the Euler constant	480	November 2005	Note 89.74
C. F. Parry	Three concurrent chords of a conic	36	March 2001	Article
Cyril F. Parry	Note 83.51 revisited	316	July 2001	Note 85.46
Cyril Parry	On Morley's diagram generalised (November 2003)	577	November 2004	Feedback
Alex Pathan and Tony Collyer	Area properties of triangles revisited	495	November 2005	Note 89.81
Alex Pathan and Tony Collyer	A solution to a cubic	398	November 2006	Article
Alex Pathan	Euler's and Barker's equations: A geometric derivation of the time of flight along parabolic trajectories	39	March 2008	Article
Alex Pathan	Free flight trajectory of a ballistic missile	244	July 2009	Article
C. E. M. Pearce and J. Peèariæ	More on the relative position of means I	112	March 2001	Note 85.16
Mike Pearson and Ian Short	Magic letter groups	493	November 2007	Article
Oren Peles	A relation between the roots of a polynomial and its coefficients	76	March 2008	Note 92.06
Malcolm Perella	Functional equations and groups	202	July 2005	Article
Martin Perkins	Approximate constructions for regular polygons	290	July 2005	Note 89.52
Pat Perks	Even more decimal points	312	July 2000	Debate
Frédéric Perrier	Carnot's theorem in trigonometric disguise	115	March 2007	Note 91.17
Poobhalan Pillay	Proof of an aphorism from the Vedas	492	November 2008	Note 92.64
R. Pinkham	The Secret Santa problem revisited	96	March 2001	Note 85.10
Klara Pinter	Which is bigger: or ?	470	November 2005	Note 89.68
Lajos Pintér	On monotone subsequences	110	March 2004	Note 88.11
Juan Pla	On triples of integers having the same sum and the same product	267	July 2006	Note 90.34
Juan Pla	On a class of equal sums of unlike powers of rational integers	450	November 2006	Note 90.62
Juan Pla	Linear recurrences which produce Pythagorean triples	482	November 2008	Note 92.61
Juan Pla	On a simple set of integers	200	July 2009	Article
Ángel Plaza and Sergio Falcón	A recurrence relation for Fibonacci sums: a combinatorial approach	480	November 2008	Note 92.60
John M. Pollard	Kruskal's card trick	265	July 2000	Note 84.29
Anand Prakash	Variations on Pascal's triangle	466	November 2001	Note 85.53
John Preater	A Greek phonetic alphabet	518	November 2001	Note 85.78
Michael H. Price	Peter Brian Coaker (1928 − 2005)	337	July 2006	Obituary
Thomas E. Price	Products of lengths of line segments associated with elliptical chords	13	March 2006	Article
Chris Pritchard	Pacioli’s Summa	129	March 2001	Currency
Helmut Prodinger	A curious identity proved by Cauchy's integral formula	266	July 2005	Note 89.44
Sandra Pulver	Quaternions: The hypercomplex number system	431	November 2008	Article
Christian Puritz	Transformed averages	441	November 2004	Article
Douglas Quadling	Oscillation with different damping models	502	November 2002	Note 86.80
Douglas Quadling	The golden euro	111	March 2003	Note 87.07
Douglas Quadling	Spread and product: some further thoughts	140	March 2004	Note 88.26
Douglas Quadling	Francis William Kellaway (1913−2003)	154	March 2004	Obituary
Douglas Quadling	On note 88.29	584	November 2004	Feedback
Douglas Quadling	Re Feynman's triangle	113	March 2005	Letter
Douglas Quadling	A trigonometric intersection	473	November 2005	Note 89.70
Douglas Quadling	Integrals − indefinite or misdefined?	303	July 2007	Note 91.46
Douglas Quadling	Further forays into dimensions	462	November 2007	Article
Douglas Quadling	Some thoughts on survival	323	July 2009	Note 93.37
Patrick Quill	The number of odd multinomial coefficients	545	November 2003	Note 87.73
Patrick Quill	Comment on Mersenne composites and cyclotomic primes	245	July 2005	Note 89.31
P. M. Radmore and G. Stephenson	On a generalisation of the limit definition of the Euler constant	102	March 2004	Note 88.09
H. C. Rae	Concerning a sequence of Gaussian Integrals	22	March 2004	Article
V. Rajesh and Gerry Leversha	Some properties of odd terms of the Fibonacci sequence	85	March 2004	Note 88.02
K. Ramachandra	Pythagoras' theorem and similar triangles	324	July 2002	Note 86.54
V. Ravichandran	A series considered by Srinivasa Ramanujan	105	March 2004	Note 88.10
Emrys Read	On integer-sided triangles containing angles of 120° or 60°	299	July 2006	Note 90.45
John B. Reade	On the M25 problem	144	March 2006	Note 90.29
Edgar Rechtschaffen	Real roots of cubics: explicit formula for quasi-solutions	268	July 2008	Note 92.35
Dave L. Renfro	The Hindu method for completing the square	198	July 2007	Article
Dave L. Renfro	Harmonious logarithm identities	95	March 2009	Note 93.06
John Reynolds	An unusual method for solving	274	July 2000	Note 84.33
Peter Reynolds	Sir Wilfred Cockcroft 1923-1999	123	March 2000	Obituary
Bill Richardson	The Mathematical Gazette	517	November 2001	Note 85.77
Bill Richardson	David George Crighton 1942 − 2000	323	July 2000	Obituary
Bill Richardson	The twelve days of Christmas	468	November 2002	Note 86.66
Bill Richardson	Re Cumulative Index	322	July 2004	Letter
Jennifer Richinick	The upside-down Pythagorean theorem	313	July 2008	Note 92.48
John Rigby	A proof of Nickalls' theorem on tangents and foci of a conic	322	July 2002	Note 86.53
John Rigby	Sums of squares of edge-lengths of cyclic polygons	25	March 2006	Article
John Rigby	A regular -gon inscribed in an equilateral triangle	323	July 2008	Note 92.53
S. Rinaldi and D. G. Rogers	How the odd terms in the Fibonacci sequence stack up	431	November 2006	Article
Simone Rinaldi and D. G. Rogers	Indecomposability: polyominoes and polyomino tilings	193	July 2008	Article
R. A. Rinvold	Fourth degree polynomials and the golden ratio		July 2009	Note 93.27
Manfred Ritter	Curious numbers revisited	144	March 2003	Note 87.21
Manfred Ritter	The crossed ladder problem	50	March 2005	Note 89.08
Neville Robbins	On the order of a finite field	285	July 2001	Note 85.31
Neville Robbins	Yet another proof of the infinitude of primes	263	July 2004	Note 88.33
Tim S. Roberts	The discovery of two new magic knight's tours	22	March 2005	Article
Anthony C. Robin	Means of means, some mechanical applications	514	November 2002	Note 86.83
Anthony C. Robin	One hump or two	91	March 2004	Note 88.06
Anthony C. Robin	An alternative form for .	159	March 2004	Letter
Anthony C. Robin	A modification to the limit	279	July 2004	Note 88.39
Anthony C. Robin	How lawyers make a living	313	July 2004	Note 88.51
Tony Robin	Re Greek and latin prefixes	112	March 2005	Letter
Anthony C. Robin	A global measure of curvature	511	November 2005	Note 89.88
Anthony C. Robin	A simple approximation to and polygonal perimeters	107	March 2006	Note 90.13
Anthony C. Robin	Circular wife swapping	471	November 2006	Note 90.72
Anthony C. Robin	What is the probability that the angle sum of a triangle is ?	513	November 2006	Note 90.87
Anthony C. Robin	A furniture removal problem	297	July 2007	Note 91.43
Tony Robin	On focussing surfaces	550	November 2007	Feedback
Anthony C. Robin	Sharing resources as fairly as possible	559	November 2008	Note 92.85
Anthony C. Robin	Head-tail imbalance	130	March 2009	Note 93.17
Anthony C. Robin	An unusual probability generating function	328	July 2009	Note 93.38
Anthony C. Robin	The most scalene triangle	331	July 2009	Note 93.39
Michael Robins	The new neighbours problem: an algorithmic solution	546	November 2003	Note 87.74
D. G. Rogers	Jacob Bronowski (1908-1974)	476	November 2008	Article
D. G. Rogers	On 92.47, 92.50 and 92.87:	357	July 2009	Feedback
Dan Romik	Some comments on Euler's series for	281	July 2002	Note 86.38
J. Rooin	Another proof of the arithmetic−geometric mean inequality	285	July 2001	Note 85.32
J. Rooin	Grouping of terms and divergence of the harmonic series	512	November 2001	Note 85.74
Paul L. Rosin and Michael L.V. Pitteway	The ellipse and the five-centred arch	13	March 2001	Article
Marty Ross	Irrational thoughts	68	March 2004	Article
Norman Routledge	More on iterative solutions of	481	November 2002	Note 86.73
Norman Routledge	More on railway station arches	60	March 2005	Note 89.13
Norman Routledge	On Note 89.46	154	March 2006	Feedback
Norman Routledge	More about weighing coins	468	November 2006	Note 90.71
Norman Routledge	On Note 90.01	520	November 2006	Feedback
Norman Routledge	Equations with roots in geometrical progression	68	March 2007	Note 91.02
Norman Routledge	Computing Farey Series	55	March 2008	Article
Norman Routledge	Summing Euler's -function	242	July 2008	Article
P. N. Ruane	The curious rectangles of Rollett and Rees	208	July 2001	Article
Christopher M. Rump	The generalised consecutive lottery number problem	577	November 2003	Note 87.83
G. Rz±dkowski	A product of sines − once again	306	July 2000	Note 84.47
Grzegorz Rz±dkowski	On identities following from trigonometric formulae of multiple angles	289	July 2001	Note 85.36
Grzegorz Rz±dkowski	Euler-MacLaurin summation and the generalised factorial	507	November 2001	Note 85.73
Grzegorz Rz±dkowski	Remarks on the geometric mean—arithmetic mean inequality	290	July 2004	Note 88.43
Grzegorz Rz±dkowski	On a family of polynomials	283	July 2006	Note 90.39
Grzegorz Rz±dkowski	Some integral representations for Bernoulli numbers	112	March 2009	Note 93.12
Juan Carlos Salazar	Fuss' theorem	306	July 2006	Note 90.46
Mohammad Salmassi and Thomas Koshy	An intriguing relationship between Fibonacci and Jacobsthal polynomials	443	November 2006	Note 90.59
C. J. Sangwin	On building polynomials	441	July 2005	Debate
José Carlos Santos	The fundamental theorem of algebra deduced from elementary calculus	302	July 2007	Note 91.45
P. Sawyer	An old limit revisited	97	March 2001	Note 85.11
P. Scales and G. Keady	Watt quadrilaterals and the 2005 IMO	488	November 2006	Note 90.78
S. Schnell and C. Mendoza	A formula for integrating inverse functions	103	March 2000	Note 84.20
Sidney Schuman	Tinkering with the calculus power rules	307	July 2003	Note 87.39
Sidney Schuman	Another look at the calculus power rules	251	July 2005	Note 89.35
J. A. Scott	An unexpected reduced cubic equation	74	March 2000	Note 84.04
J. A. Scott	On the application of Whittaker's theorem	84	March 2000	Note 84.08
J. A. Scott	On a limit for prime numbers	115	March 2000	Note 84.25
J. A. Scott	On bounds for Euler's constant	300	July 2000	Note 84.43
J. A. Scott	A product of sines revisited	304	July 2000	Note 84.46
J. A. Scott	Another reductio ad absurdum for the tetrahedron	504	November 2000	Note 84.56
J. A. Scott	A graphical approach to	513	November 2000	Note 84.59
J. A. Scott	On sums of powers of the natural numbers	89	March 2001	Note 85.06
J. A. Scott	Even more series for	299	July 2001	Note 85.40
J. A. Scott and H. M. Cundy	Similar triangles associated with the Lemoine point	486	November 2001	Note 85.64
J. A. Scott	On product collapse	503	November 2001	Note 85.71
J. A. Scott	Euler limits for some doubly-infinite series	504	November 2001	Note 85.72
J. A. Scott	Morley's theorem — once again	80	March 2002	Note 86.07
J. A. Scott	An areal view of Feuerbach's theorem	81	March 2002	Note 86.08
J. A. Scott	An infinite series revisited	101	March 2002	Note 86.14
J. A. Scott	In praise of the Catalan constant	102	March 2002	Note 86.15
J. A. Scott	An eight-point circle	326	July 2002	Note 86.55
J. A. Scott	An algebraic identity revisited	469	November 2002	Note 86.67
J. A. Scott	On the least distance from four fixed points	328	July 2002	Note 86.56
J. A. Scott	Generalising the Fibonacci sequence	463	November 2002	Note 86.63
J. A. Scott	Improving the convergence of monotonic series	128	March 2003	Note 87.15
J. A. Scott	Some geometrical examples of proof by reductio ad absurdum	161	March 2003	Note 87.26
J. A. Scott	Areal coordinates at the circus	162	March 2003	Note 87.27
J. A. Scott	Yet another look at	311	July 2003	Note 87.41
J. A. Scott	On the matrix representation of continued fractions	510	November 2003	Note 87.60
J. A. Scott	A double integral, a rectangular hyperbola and the harmonic mean	532	November 2003	Note 87.70
J. A. Scott	Two more proofs of Lester's theorem	553	November 2003	Note 87.76
J. A. Scott	Steiner-Lehmus revisited	561	November 2003	Note 87.78
J. A. Scott	On a metric-related function for the triangle	565	November 2003	Note 87.80
J. A. Scott	Another cotangent identity for the triangle	114	March 2004	Note 88.13
J. A. Scott	On note 87.32	317	July 2004	Feedback
J. A. Scott	Aubel's theorem revisited	551	November 2004	Note 88.71
J. A. Scott	The Kiepert centre in areal coordinates	553	November 2004	Note 88.72
J. A. Scott	Back to the Euler line	65	March 2005	Note 89.14
J. A. Scott	Yet more heuristics	68	March 2005	Note 89.15
J. A. Scott	A nine-point hyperbola	93	March 2005	Note 89.24
J. A. Scott	On the tetrahedron inequality	96	March 2005	Note 89.25
J. A. Scott	On note 88.46	107	March 2005	Feedback
J. A. Scott	A difference equation approach to a curious number	259	July 2005	Note 89.40
J. A. Scott	Yet another look at a curious identity	259	July 2005	Note 89.39
J. A. Scott	Another decreasing sequence of triangles	296	July 2005	Note 89.54
J. A. Scott	A cotangent inequality for two triangles	473	November 2005	Note 89.71
J. A. Scott	On the Lester circle and the Archimedean triangle	498	November 2005	Note 89.82
J. A. Scott	Some properties of ordered triangle cotangents	112	March 2007	Note 91.16
J. A. Scott	On generalised Feynman sequences	132	March 2007	Note 91.23
J. A. Scott	Yet another Kiepert point	529	November 2007	Note 91.67
J. A. Scott	Bridging parallelograms of equal area	530	November 2007	Note 91.68
J. A. Scott	On the Lagrange method for constrained critical points	81	March 2007	Note 91.06
J. A. Scott	Square-free integers once again	70	March 2008	Note 92.04
J. A. Scott	Another rectangular hyperbola for the triangle	331	July 2008	Note 92.56
J. A. Scott	On 92.04	355	July 2008	Feedback
J. A. Scott	Sequences for revisited	299	July 2009	Note 93.29
J. A. Scott	A radical centre on the Euler line	312	July 2009	Note 93.34
J. A. Scott	Square-freedom revisited	112	March 2006	Note 90.15
J. A. Scott	On the Lester circle, a companion and another special case	141	March 2006	Note 90.27
J. A. Scott	On the Adams circle	309	July 2006	Note 90.48
J. A. Scott	An attenuation formula for the Neuberg sequence	311	July 2006	Note 90.49
J. A. Scott	An inequality associated with the equifacial tetrahedron	320	July 2006	Note 90.53
J. A. Scott	The theorem of means revisited	456	November 2006	Note 90.64
J. A. Scott	An elementary proof of Napoleon's theorem	481	November 2006	Note 90.74
J. A. Scott	Some thoughts on the neglected quadrilateral	483	November 2006	Note 90.75
J. A. Scott	A new triangle point	486	November 2006	Note 90.76
J. A. Scott	The theorem of means applied to the triangle	487	November 2006	Note 90.77
Dirk Segers	A round table problem	115	March 2004	Note 88.14
H. A. ShahAli	On Note 85.37	150	March 2006	Feedback
Ron Shail	A proof of Lester's Theorem	226	July 2001	Article
G. C. Shephard	Interlinked loops	249	July 2006	Article
G. C. Shephard	A jigsaw problem	58	March 2009	Article
Shailesh A. Shirali	Groups associated with conics	27	March 2009	Article
Zohreh Shishebor	A generalisation of Pascal's and Fibonacci's triangle	485	November 2003	Note 87.51
Peter Shiu	The equality of two integrals	459	November 2006	Note 90.66
Peter Shiu	Euler's contribution to number theory	453	November 2007	Article
Peter Shiu	Egyptian fraction representations of 1 with odd denominators	271	July 2009	Note 93.20
Peter Shiu	Pseudoperfect numbers with no small prime divisors	404	November 2009	Article
Peter Shiu	A footnote on the number of times goes into	492	November 2009	Note 93.48
J. P. Shiwalkar and M. N. Deshpande	The number of HH's in a coin-tossing experiment and the Fibonacci sequence	147	March 2008	Note 92.27
John R. Silvester	Determinants of block matrices	460	November 2000	Article
John R. Silvester	Ceva = (Menelaus)2	268	July 2000	Note 84.30
John R. Silvester	Painting by numbers or Polyominoes revisited	68	March 2002	Note 86.02
John R. Silvester	Factorial factors	119	March 2004	Note 88.17
John R. Silvester	Extensions of a theorem of Van Aubel	2	March 2006	Article
John R. Silvester	The -subsequences of the Fibonacci sequence	263	July 2006	Note 90.33
John Silvester	On ‘Hexagons with opposite sides parallel’	349	July 2007	Feedback
John R. Silvester	Reflected circles and congruent perspective triangles	10	March 2009	Article
S. Simons	Cutting your fax bill	278	July 2001	Note 85.29
S. Simons	A curious identity	296	July 2001	Note 85.38
S. Simons	A modification of the ‘nesting’ algorithm	298	July 2001	Note 85.39
S. Simons	Further simple tests for integer factors	462	November 2001	Note 85.51
S. Simons	A new approach to Euler's relation	490	November 2001	Note 85.65
S. Simons	Sign constraints on the graph of	492	November 2001	Note 85.67
S. Simons	Beyond Gregory's series—a computation of the value of	513	November 2001	Note 85.75
S. Simons	A novel inequality	99	March 2002	Note 86.13
S. Simons	Periodically modified power series	287	July 2002	Note 86.40
S. Simons	Oscillation period in a power-law attractive force field	332	July 2002	Note 86.59
S. Simons	A transformation of periodic recurrence relations	471	November 2002	Note 86.68
S. Simons	On the shape of a flexible elastic string suspended between two points	498	November 2002	Note 86.78
S. Simons	A modified approach to motion under gravity in a resistive medium	516	November 2002	Note 86.84
S. Simons	How do we tackle ?	120	March 2003	Note 87.11
S. Simons	On computing the value of from the series for	129	March 2003	Note 87.16
S. Simons	Evaluating	311	July 2003	Note 87.42
S. Simons	Effect of resistive force on projectile flight times	328	July 2003	Note 87.49
S. Simons	A geometrical iteration	557	November 2003	Note 87.77
Stuart Simons	How can we tackle	96	March 2004	Note 88.07
Stuart Simons	Traversing a windy circuit	144	March 2004	Note 88.28
Stuart Simons	Flight path of an elastically tethered projectile	147	March 2004	Note 88.29
Stuart Simons	When is real?	281	July 2004	Note 88.40
Stuart Simons	Breaking your washing line—how to minimise the risk	311	July 2004	Note 88.50
Stuart Simons	On the nature of the eigenvalues of a particular class of matrix	514	November 2004	Note 88.58
S. Simons	An approach to evaluating	519	November 2004	Note 88.60
Stuart Simons	Which way will it swing?	555	November 2004	Note 88.73
Stuart Simons	What's the quickest route from to ?	101	March 2005	Note 89.27
Stuart Simons and Andrew Tworkowski	A new algorithm for computing the logarithmic function	212	July 2005	Article
Stuart Simons	On spiders, cranes, fishing lines, balloons, mines etc.	301	July 2005	Note 89.56
Stuart Simons	On the evaluation of and related integrals	122	March 2006	Note 90.19
Stuart Simons	A modification of the Newton-Raphson method	128	March 2006	Note 90.21
Stuart Simons	On Note 89.42	154	March 2006	Feedback
Stuart Simons	Introducing the Dirac delta function	292	July 2006	Note 90.41
Stuart Simons	Speeding things up	330	July 2006	Note 90.57
Stuart Simons	Counting squares and cubes	466	November 2006	Note 90.70
Stuart Simons	An amplitude-independent ‘pendulum’	500	November 2006	Note 90.82
Stuart Simons	Overcoming fortifications	511	November 2006	Note 90.86
Stuart Simons	On Note 90.05	521	November 2006	Feedback
Stuart Simons	Making toast	110	March 2007	Note 91.15
Stuart Simons	How might we model a real fulcrum?	142	March 2007	Note 91.26
Stuart Simons	Dynamical analysis of a toy	145	March 2007	Note 91.27
Stuart Simons		154	March 2007	Letter
Stuart Simons	A geometrical recreation or how to avoid your neighbours	312	July 2007	Note 91.48
Stuart Simons	Running a divergent numerical algorithm backwards	517	November 2007	Note 91.61
Stuart Simons	Summing digits of an arithmetic sequence	83	March 2008	Note 92.08
Stuart Simons	Some aspects of the behaviour of the graph of	99	March 2008	Note 92.14
Stuart Simons	Area and perimeter ratios	133	March 2008	Note 92.21
Stuart Simons and Andrew Tworkowski	Stable charge clusters	335	July 2008	Note 92.58
Stuart Simons	Curious collisions	341	July 2008	Note 92.59
Stuart Simons	Parametric forms for general polynomial equations	499	November 2008	Note 92.67
Stuart Simons	Some simple geometry	563	November 2008	Note 92.86
Stuart Simons	A novel approach to projectile paths	568	November 2008	Note 92.90
Stuart Simons	On 91.47	353	July 2008	Feedback
Stuart Simons	Alternative approach to complex roots of real quadratic equations	91	March 2009	Note 93.04
Stuart Simons	Some results concerning angle bisectors	115	March 2009	Note 93.13
Stuart Simons	Introducing congruent triangles	142	March 2009	T. Note
Stuart Simons	Introducing the hyperbola	288	July 2009	Note 93.25
Stuart Simons	Modelling scissors	338	July 2009	Note 93.40
Stuart Simons	A non-linear difference equation	500	November 2009	Note 93.50
Sue Singer	Sailing through mathematics	386	November 2006	Article
David Singmaster	Some properties of the Farey mean	479	November 2002	Note 86.72
David Singmaster	On note 86.72	316	July 2004	Feedback
David Singmaster	On note 87.73	320	July 2004	Feedback
David Singmaster	Integral solutions of ass and mule problems	365	July 2005	Article
Ronald Skurnick	Where is the centre of the graph of a polynomial?	59	March 2002	Article
Ronald Skurnick	The digital representation ring	505	November 2003	Note 87.59
Cathy Smith	A teacher's confession	490	November 2000	Note 84.51
Cedric Smith	The twelve coin problem	280	July 2005	Note 89.48
Geoff Smith	43rd International Mathematical Olympiad	450	November 2002	Report
Geoff Smith	44th International Mathematical Olympiad	81	March 2004	Report
Michael Smith	A short note on the divisibility of numbers consisting of repeated digits	244	July 2005	Note 89.30
Robert Connon Smith	Sir William McCrea 1904 – 1999	318	July 2000	Obituary
Michael Smith	Sofas and ladders	77	March 2001	Note 85.02
Blanche Descartes via C. A. B. Smith	Hymne to Hymen	133	March 2002	Note 86.25
Harry V. Smith	Numerical integration -- a different approach	21	March 2006	Article
Anthony Sofo and Rodney Turner	A general version of Simons' integral	118	March 2006	Note 90.18
Ben Spells	The pencil tin problem	535	November 2009	T. Note
P. Stanley	Tangent circles	386	November 2002	Article
Paolo Starni	A simple proof of the fundamental theorem of arithmetic	106	March 2003	Note 87.05
Mikko Stenlund	A characterisation of the parabola	507	November 2005	Note 89.87
Paul Stephenson	Rep-multiple tile sets	154	March 2003	Note 87.24
Paul Stephenson	Pythagorean fish	130	March 2004	Note 88.21
Paul Stephenson	Integral Apollonian circle packings and touching sets	297	July 2005	Note 89.55
Paul Stephenson	The ‘derangements’ relation visualised	324	July 2006	Note 90.55
Paul Stephenson	Diophantine equations and Farey means	249	July 2007	Note 91.29
Paul Stephenson	Tilings into tilings	135	March 2008	Note 92.23
Paul Stephenson	Counting faces on Archimedean solids	137	March 2008	Note 92.24
Paul Stephenson	Reconstructing heronian triangles	328	July 2008	Note 92.55
Seán M. Stewart	Linearly-resisted trajectories and the over-under theorem	335	July 2007	Note 91.55
David Stirzaker	Advice to hedgehogs, or, constants can vary	197	March 2000	Article
Charles Strickland-Constable	Is the lemniscate of Bernoulli one of Lissajous' figures?	308	July 2004	Note 88.49
C. Strickland-Constable	A simple method for finding tangents to polynomial graphs	466	November 2005	Note 89.65
Bogdan Suceavã, Adrian Vajiac, Mihaela Vajiac	The power of a point for some real algebraic curves	22	March 2008	Article
B. Sury	Of grand-aunts and Fibonacci	63	March 2008	Note 92.01
B. Sury	A generalisation of the irrationality of	535	November 2008	Note 92.77
B. Sury	Vandermonde for cyclicity	285	July 2009	Note 93.24
B. Sury	A rectangular occurrence of	509	November 2009	Note 93.52
J. Barry Sutton	Yet another proof of Pythagoras' theorem	72	March 2002	Note 86.03
Fukuzo Suzuki	Tumugu Sakuma's problem	233	July 2001	Article
Fukuzo Suzuki	Learning some trigonometrical identities by simple figures	83	March 2002	Note 86.09
Fukuzo Suzuki	Some properties of a triangle and a point	548	November 2003	Note 87.75
Fukuzo Suzuki	An alternative characterisation of the Brocard points	302	July 2004	Note 88.47
Fukuzo Suzuki	Generalised Lucas circles of a cyclic quadrilateral	86	March 2005	Note 89.22
Fukuzo Suzuki	Hyperbolas derived from a triangle and the perpendiculars from a point	497	November 2006	Note 90.81
Fukuzo Suzuki	Generalisations of the Napoleon theorems, and triangles circumscribing a given triangle	115	March 2008	Note 92.18
Edmund Swylan	Proving numbers Catalan	460	November 2002	Note 86.62
István Szalkai	A short remark on difference equations	467	November 2005	Note 89.66
Alina Sîntãmãrian	A generalisation of Ioachimescu's constant	456	November 2009	Article
A. Tan	Obtaining elliptical sections from right circular cylinders	491	November 2001	Note 85.66
Shinji Tanimoto	Number theory from a combinatorial point of view	266	July 2002	Note 86.30
Shinji Tanimoto	Congruence relations for traces of matrix powers	266	July 2004	Note 88.37
H. Teimoori and M. Bayat	Fermat row-eliminated matrices and some binomial determinants	114	March 2003	Note 87.09
Paul Thompson and Steve Abbott	A conjecture on prime number races	91	March 2001	Note 85.08
Alan J. W. Thorn	Re a GCSE question	312	July 2005	Letter
Mark Thornber	Some unusual iterations	90	March 2000	Note 84.12
Hugh Thurston	What does really mean?	443	November 2002	Debate
Hugh Thurston	Should we reform the teaching of calculus?	233	July 2005	Debate
Daniel Timms	Proof without words: Infinite sum of a GP	344	July 2008	T. Note
John Tolle	Can growth be faster than exponential, and just how slow is the logarithm?	522	November 2003	Note 87.65
Jingcheng Tong	The mean value theorem of Lagrange generalised to involve two functions	515	November 2000	Note 84.60
Jingcheng Tong and Peter A. Braza	An elementary approach to finding all square-triangular numbers	494	November 2003	Note 87.55
Jingcheng Tong	Conjugates of Pythagorean triples	496	November 2003	Note 87.56
Jingcheng Tong	and	511	November 2004	Note 88.56
Jingcheng Tong	The mean-value theorem generalised to involve two parameters	538	November 2004	Note 88.66
Jingcheng Tong	Mean value theorem for integrals generalised to involve two functions	126	March 2006	Note 90.20
Jingcheng Tong	Another calculus proof of the location of Fermat's point	135	March 2006	Note 90.25
J. Trainin	An elementary proof of Pick's theorem	536	November 2007	Note 91.70
Marián Trenkler	A construction of magic cubes	36	March 2000	Article
Götz Trenkler and Dietrich Trenkler	On singular semi-diagonal Latin squares	126	March 2007	Note 91.21
Peter Trier	An algebraic proof of Pascal’s theorem	139	March 2004	Note 88.25
Hung-Ping Tsao	Proof without words	46	March 2005	Note 89.05
Hung-Ping Tsao	Explicit polynomial expressions for sums of powers of an arithmetic progression	87	March 2008	Note 92.09
V. Tyagi	Sums of squares with digit restrictions	98	March 2003	Note 87.01
Zbigniew Urmanin	An inductive proof of the arithmetic mean − geometric mean inequality	101	March 2000	Note 84.18
Zbigniew Urmanin	Generalisation of the arithmetic mean − geometric mean − harmonic mean inequality	293	July 2002	Note 86.43
Alfred and Dominic Vella	More properties of Pythagorean triples	275	July 2001	Note 85.28
Dominic and Alfred Vella	When is a member of a Pythagorean triple?	102	March 2003	Note 87.04
Dominic Vella and Alfred Vella	Some properties of finite Fibonacci sequences	494	November 2004	Note 88.52
Dominic Vella, Alfred Vella and Julia Wolf	An extension of the fundamental theorem on right-angled triangles	237	July 2005	Note 89.29
Dominic Vella and Alfred Vella	Calculating exact cycle lengths in the generalised Fibonacci sequence modulo	70	March 2006	Note 90.02
Mark B. Villarino	The probability of a run	134	March 2007	Note 91.24
S. P. Vincent	Archimedes revisited: the approximation of by regular polygon perimeters	117	March 2007	Note 91.18
Jouko J. Virtanen	Using intuition to sum a series	86	March 2001	Note 85.05
Vladimir Volenec	A theorem about the rectangular hyperbola	316	July 2006	Note 90.51
Roger Voles	Winning rings revisited	109	March 2001	Note 85.15
Roger Voles	The arithmetic of cuckoldry in family trees	209	July 2006	Article
Roger Voles	Finding lost cousins	138	March 2008	Note 92.25
Roger Voles	Nesting similar Pythagorean triangles	354	July 2009	T. Note
Mary Walmsley	Lady Jeffreys 1903 − 1999	321	July 2000	Obituary
Xiaoxia Wang and Yidong Sun	A new proof of a curious identity	105	March 2007	Note 91.13
Juan Wang and Ying Zhang	A proof of an inequality conjectured by J. Chen	105	March 2009	Note 93.09
A. J. B. Ward	A matrix method for a system of linear Diophantine equations	81	March 2000	Note 84.07
A. J. B. Ward	The attractor property and matrix equations: an empirical approach	114	March 2002	Note 86.19
Tony Ward	Difference equations, determinants and the Secret Santa problem	2	March 2005	Article
Tony Ward	On Note 89.42	153	March 2006	Feedback
Tony Ward	On Note 89.40	153	March 2006	Feedback
Tony Ward	A permutation-ordering algorithm	307	July 2008	Note 92.46
Tony Ward	Uncountability	256	July 2009	Article
Jon Warwick	Modelling penalty competitions to decide football matches	342	July 2007	Note 91.57
R. A. Watson	Tests for divisibility	493	November 2003	Note 87.54
Roger Webster	Continuous choice of argument	463	November 2006	Note 90.69
David Wells	A surprise with parallel lines: an exploration that went wrong, then right	162	March 2008	T. Note
R. M. Welukar and M. N. Deshpande	A result on Fibonacci numbers	455	November 2005	Note 89.59
J. D. Weston	Vectors as quaternions: a corner of linear algebra	25	March 2001	Article
Michael Wetherfield	On note 88.38	586	November 2004	Feedback
Michael Wetherfield	The generalised coin weighing problem	275	July 2005	Note 89.47
John E. Wetzel	Squares in triangles	28	March 2002	Article
David A. L. Wilson and Barry Martin	The distribution of the geometric mean	40	March 2006	Article
A. D. Woodall	Proof of the theorems of Fermat and Wilson and related results	500	November 2003	Note 87.58
Francis Woodhouse	The Basel problem and the zeros of	120	March 2007	Note 91.19
Francis Woodhouse	Some integrals involving	285	July 2007	Note 91.41
E. E. Wright	On a quadrilateral with three equal sides	565	November 2008	Note 92.88
Kung-Wei Yang	Proving an identity of Lagrange	92	March 2009	Note 93.05
Robert M. Young	Another simple proof of the theorem of the means	107	March 2007	Note 91.14
Robert M. Young	On evaluating the probability integral: a simple one-variable proof	252	July 2005	Note 89.36
Robert M. Young	A serendipitous path to a famous inequality	50	March 2008	Article
Robert M. Young	On the area enclosed by the curve	295	July 2009	Note 93.28
Robert M. Young	A simple combinatorial proof of the theorem of the means	300	July 2009	Note 93.30
Liping Yuan and Ren Ding	Triangles in squares	219	July 2004	Article
Liping Yuan, Yuqin Zhang and Ren Ding	Boxes for triangles of diameter one	492	November 2006	Note 90.80
E. C. Zeeman	On Hilbert's third problem	241	July 2002	Article
Li Zhou	On note 87.22	316	July 2004	Feedback
I. J. Zucker	The cubic equation − a new look at the irreducible case	264	July 2008	Note 92.34
Grzegorz £ysik	The -binomial inequality	97	March 2008	Note 92.13