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Volume 86

The Mathematical Gazette

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Volume 86 - November 2002

Notes

Infinite roots of the quadratic equation and tangents to conic sections at infinity

Diophantine triples

Morley’s theorem — once again

Proving numbers Catalan

An areal view of Feuerbach’s theorem

Generalising the Fibonacci sequence

Division power

‘33102π is an integer!’

Learning some trigonometrical identities by simple figures

Some new triples of integers and associated triangles

More on the sequence of prime numbers

Some constructions for dividing a trapezium into parts of given area

The prime factors of 2n + 1

The twelve days of Christmas

When is an oval not an ellipse?

Number theory from a combinatorial point of view

An algebraic identity revisited

Definite integration via areas

Proof without words:

A transformation of periodic recurrence relations

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Volume 86 - November 2002

Notes