| AUTHOR
|
TITLE
|
PAGE
|
Issue
|
Category
|
|
|
Eleventh Annual Mathematical Gazette Writing Awards
|
193
|
July 2006
|
Miscellaneous
|
|
|
JSTOR and The Mathematical Gazette
|
38
|
March 2007
|
Miscellaneous
|
|
|
Twelfth Annual Mathematical Gazette Writing Awards
|
348
|
July 2007
|
Miscellaneous
|
|
|
|
582
|
November 2003
|
Feedback
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| A. V. Boyd and J. N. Ridley
|
The return of Secret Santa
|
307
|
July 2001
|
Note 85.43
|
| C. J. Bradley
|
Olympiad memories
|
201
|
July 2002
|
|
| C. J. Bradley
|
More on Simson conics and lines
|
303
|
July 2002
|
Note 86.48
|
| 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
|
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 and G. C. Smith
|
Hagge circles and isogonal conjugation
|
202
|
July 2007
|
Article
|
| Bill Brakes
|
Logic, language and life
|
255
|
July 2001
|
Debate
|
| 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
|
| 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
|
| A. L. Brown
|
The irrationality of , , ,
|
143
|
March 2003
|
Note 87.20
|
| 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
|
| 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
|
| Fernando Castro G.
|
More on the sequence of prime numbers
|
264
|
July 2002
|
Note 86.29
|
| Zvonko Èerin
|
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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
Converse of a property of right triangles
|
72
|
March 2005
|
Note 89.18
|
| Gyula Darvasi
|
Yet more on a neglected Pythagorean-like formula
|
502
|
November 2005
|
Note 89.84
|
| 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
|
| Prithwijit De and Des MacHale
|
From immersion heaters to buoys
|
519
|
November 2007
|
Note 91.62
|
| 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
|
| 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
|
| Andrejs Dunkels
|
Comments on note 82.53--a generalised test for divisibility
|
79
|
March 2000
|
Note 84.06
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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
|
| Tony Forbes
|
Large prime quadruplets
|
447
|
November 2000
|
Article
|
| Roderick Forman
|
A Ramanujan equation
|
525
|
November 2004
|
Note 88.63
|
| 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
|
| 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
|
| P. Gailiunas
|
Some unusual space-filling solids
|
230
|
July 2004
|
Article
|
| 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
|
| Glyn George
|
Testing for the independence of three events
|
568
|
November 2004
|
Note 88.76
|
| 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
|
A recurrence relation among Fibonacci sums
|
89
|
March 2000
|
Note 84.11
|
| 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
|
| Ben Green
|
Ramsey Theory and the IMO
|
204
|
July 2002
|
|
| Raymond N. Greenwell
|
Donofrio's theorem
|
261
|
July 2005
|
Note 89.42
|
| 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
|
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
|
Pseudo-convergents
|
290
|
July 2007
|
Note 91.42
|
| H. Brian Griffiths
|
Iterated sequences of triangles
|
518
|
November 2005
|
Note 89.90
|
| Jonny Griffiths
|
Could be three?
|
103
|
March 2006
|
Note 90.12
|
| 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
|
But which one is it?
|
491
|
November 2003
|
Note 87.53
|
| 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
|
No consecutive heads
|
561
|
November 2004
|
Note 88.75
|
| 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
|
Re Error on page 567 November 2004
|
112
|
March 2005
|
Letter
|
| Martin Griffiths
|
-dimensional enrichment for Further Mathematicians
|
409
|
July 2005
|
Article
|
| Martin Griffiths
|
Seeded tournaments--algorithms, simulations and combinatorics
|
485
|
November 2005
|
Note 89.77
|
| 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
|
| 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
|
| 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
|
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
|
On Maekawa's trigonometric inequality
|
501
|
November 2000
|
Note 84.54
|
| 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
|
| 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 'Beyond the Euler summation formula'
|
305
|
July 2005
|
Feedback
|
| Michael Hirschhorn
|
On note 88.55
|
305
|
July 2005
|
Feedback
|
| Michael Hirschhorn
|
On note 88.61
|
306
|
July 2005
|
Feedback
|
| Michael Hirschhorn
|
On note 88.63
|
308
|
July 2005
|
Feedback
|
| Michael Hirschhorn
|
On note 88.64
|
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 90.06
|
153
|
March 2007
|
Feedback
|
| Michael Hirschhorn
|
On 89.55
|
153
|
March 2007
|
Feedback
|
| Michael Hirschhorn
|
On 90.35
|
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
|
| 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
|
| 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
|
| 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
|
| Neville Holmes
|
Multiplying with quarter squares
|
296
|
July 2003
|
Note 87.36
|
| Peter Holmes
|
Proof without words:
|
267
|
July 2002
|
Note 86.31
|
| 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
|
| 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
|
Chain reaction
|
509
|
November 2002
|
Note 86.82
|
| G. Jackson
|
A very curious number
|
84
|
March 2001
|
Note 85.04
|
| 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
|
| 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 and James M. Mitchell
|
Non-existence of Fibonacci and Lucas numbers in amicable pairs of opposite parity
|
451
|
November 2005
|
Note 89.57
|
| John H. Jaroma
|
Proof without words: Pappus' generalisation of Pythagoras' theorem
|
493
|
November 2005
|
Note 89.79
|
| 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
|
| 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
|
| 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
|
| Richard Kenderdine
|
On note 88.08
|
582
|
November 2004
|
Feedback
|
| Richard Kenderdine
|
On note 88.62
|
307
|
July 2005
|
Feedback
|
| 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
|
Timetable spread and lattice energies
|
222
|
July 2005
|
Article
|
| 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
|
| 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
|
| Yukio Kobayashi
|
Geometrical meaning of the quotient rule for differentiation
|
303
|
July 2000
|
Note 84.45
|
| Yukio Kobayashi
|
Derivative of trigonometrical functions via matrices
|
116
|
March 2001
|
Note 85.18
|
| Yukio Kobayashi
|
Combining trigonometric functions by way of vector products
|
124
|
March 2001
|
Note 85.22
|
| 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
|
| Adam Korányi
|
Tetrahedra and vectors
|
317
|
July 2006
|
Note 90.52
|
| Thomas Koshy
|
Summing integer cubes using Thébault's array of arithmetic sequences
|
271
|
July 2002
|
Note 86.33
|
| Thomas Koshy
|
Weighted Fibonacci and Lucas sums
|
93
|
March 2001
|
Note 85.09
|
| 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
|
| Irena Kosi-Ulbl
|
The main body of some irrational complex functions
|
42
|
March 2001
|
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
|
| 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
|
| 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
|
| 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
|
| Paul Levrie and Hilde Missinne
|
Reflections on an exponential mirror
|
59
|
March 2007
|
Article
|
| 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
|
| Timothy Lewis
|
On note 88.76
|
311
|
July 2005
|
Feedback
|
| 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
|
| 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
|
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
|
| 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
|
| Zhiqin Lu
|
An optimal inequality
|
521
|
November 2007
|
Note 91.63
|
| Florian Luca
|
Digital patterns in perfect squares
|
289
|
July 2000
|
Note 84.38
|
| 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
|
| 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
|
| Robert Macmillan
|
Continued fractions
|
30
|
March 2000
|
Article
|
| Taichi Maekawa
|
Two intuitive proofs of Heron's formula
|
546
|
November 2004
|
Note 88.69
|
| 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
|
| 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
|
| 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 Mitchell
|
On note 86.49
|
316
|
July 2004
|
Feedback
|
| 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 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
|
| D. C. Morrow
|
A digit function with infinitely many 1-cycles
|
105
|
March 2002
|
Note 86.17
|
| R. V. W. Murphy
|
Iterative solutions of
|
493
|
November 2000
|
Note 84.52
|
| R. V. W. Murphy
|
Differential equations
|
227
|
July 2007
|
Article
|
| 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
|
| R. W. D. Nickalls
|
The quadratic formula is a particular case
|
276
|
July 2000
|
Note 84.34
|
| R. W. D. Nickalls
|
A conic theorem generalised
|
232
|
July 2000
|
Article
|
| R. W. D. Nickalls
|
Viète, Descartes and the cubic equation
|
203
|
July 2006
|
Article
|
| 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
|
| 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
|
| 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
|
| 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
|
| 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 88.48
|
587
|
November 2004
|
Feedback
|
| A. Robert Pargeter
|
On note 88.46
|
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
|
| 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
|
| 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
|