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 |