Proving the existence of the Euler line

Abstract

This chapter is concerned with some consequences of introducing nomenclature: repetitiousness, caused by the destruction of symmetry that is inherent to giving different things different names, and lack of disentanglement, caused by the availability of avoidable nomenclature. A second point the chapter wants to illustrate --and remedy-- is how the use of pictures has the danger of strongly inviting (i) the introduction of too much nomenclature, and (ii) implicitness about the justification of the steps of the argument.