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The Mathematical Gazette Jul 2000

Volume 84 Number 500

Editor Steve Abbott


Contents


Editorial
   
500 up!   193
Fifth Annual Mathematical Gazette Writing Awards   194
The Mathematical Gazette Number 250   195

Articles
   
Advice to hedgehogs, or, constants can vary David Stirzaker 197
Diophantine Boxes Des MacHale 211
Shooting for p: the bowstring lemma Michael Longuet-Higgins 216
Farey Rabbits Abraham Arcavi and Maxim Bruckheimer 223
Geometric Series Jeff D. Farmer 27
A conic theorem generalised: directed angles and applications
(PDF file 182 KB)
R. W. D. Nickalls 232
Chains, froths and a ten-bead necklace: systems of circles and spheres Michael Fox 242
Regular polygons on sides of special triangles Zvonko Cerin 260

Notes 84.29 to 84.49
   
Kruskal's card trick John M. Pollard 265
Ceva = (Menelaus)2 John R. Silvester 268
The golden tan of mathematics P. Glaister 272
Finding some trigonometrical identities from a simple figure Masakazu Nihei 272
An unusual method for solving the equation a cosq + b sinq = c John Reynolds 274
The quadratic formula is a particular case
(PDF file 125 KB)
R. W. D. Nickalls 276
More powerful patterns Nick Lord 280
Approximation to square roots - further to Note 81.41 Darrell Desbrow 282
Eratosthenes's cube root mechanism P. C. Fenton 287
Digital patterns in perfect squares Florian Luca 289
Square-triangular numbers Donald Keedwell 292
Reflections on Euclid's algorithm A. F. Beardon 294
An interesting conjecture M. N. Deshpande 296
Proof of Voles' conjecture concerning solutions of nx = ny Darrell Desbrow 298
On bounds for Euler's constant J. A. Scott 300
On the integral in Notes 83.15 and 83.63 D. Martin 301
Geometrical meaning of the quotient rule for differentiation Yukio Kobayashi 303
A product of sines revisited J. A. Scott 304
A product of sines - once again G. Rzadkowski 306
On the approximation of the lognormal distribution Csaba Mihályk? and Tibor Blickle 308
A stats-bite: symmetrical confidence intervals are the narrowest Nick Lord 310

Matters for Debate
   
Even more decimal points Pat Perks 312

Correspondence
 
314

Obituaries
 
Sir William McCrea 1904 - 1999 Robert Connon Smith 318
Lady Jeffreys 1903 - 1999 Peter Reynolds 321
David George Crighton 1942 - 2000 Bill Richardson 323

Currency corner
   
Gauss and the curve of errors Chris Pritchard 312

Problem corner

G. T. Q. Hoare

325

Students problems

Tim Cross

330

Other Journals

Anne C. Baker

333

Book Reviews
 
335

Association Publications
 
382

For further information about The Mathematical Gazette please contact the Editor.