Pastors and Masters. Presidential Address to the Mathematical Association, April 1961

1961 ◽  
Vol 45 (353) ◽  
pp. 167
Author(s):  
E. A. Maxwell
2008 ◽  
Vol 92 (524) ◽  
pp. 205-213 ◽  
Author(s):  
Michael Fox ◽  
Adrian Oldknow ◽  
John Rigby ◽  
Christopher Zeeman

New discoveries about the Soddy circles of a triangle were published in the Gazette [1] in 1995; they are summarised below. Extensions of wellknown results in the geometry of the triangle to that of the tetrahedron were presented by Zeeman in his 2004 Presidential Address at the Mathematical Association Conference in York [2]. Using the computer software package Cabri 3D, we have discovered new results which extend the Soddy circles of a triangle to Soddy spheres of a special class of tetrahedra. This article is the first of two which present our discoveries, as well as relevant aspects of the established geometry of tetrahedra, together with their proofs.


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