The Mathematical Gazette: Volume 44 -

A Note on Fermat’s Theorem
Louis Long
Published online by Cambridge University Press:

03 November 2016, pp. 261-262
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
It was conjectured by Fermat that if n > 2, the equation has no solution in positive integers. If n is composite, say n = lm, the equation implies Am + Bm = Cm, where A = al, etc. So the insolubility of the equation with exponent m ensures the insolubility of the equation with exponent n.

The Sequence of Touching Circles
John Satterly
Published online by Cambridge University Press:

03 November 2016, pp. 263-268
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
This problem has been treated in many Geometries (Casey, Forder, Steiner) and in the Mathematical Gazette, and by Frederick Soddy.
Perhaps I can add a little of interest.

Formulae for Volumes, Surface Areas and Radii of Gyration of Spheres, Ellipsoids and Spheroids
John Satterly
Published online by Cambridge University Press:

03 November 2016, pp. 15-19
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
Recently I have been experimenting on the physical properties, dimensions and constants of hens’ eggs. During this work I have had necessarily to look up the formulae for areas and volumes of ellipsoids and to invent approximate formulae for use where the correct formulae entails the use of mathematical tables. I now give them to other students.

Sentence Logic as an Introduction to Axiomatic Systems
J. Hooley
Published online by Cambridge University Press:

03 November 2016, pp. 23-34
- Article
- - Get access
    
    Check if you have access via personal or institutional login
    
    Log in Register
- Export citation
“The moral of this story seems to be that mathematical reasoning based on an axiomatic basis is not difficult, ….” “Modern mathematics is turning more and more to axiomatic methods, and there is a great deal to be said for introducing students to them at an early stage, when, I believe, they would take to them more readily, and enjoy them.”

The Mathematical Gazette