Euler's parallel oblique-angled diameters

Publisher: Cambridge University Press

E-ISSN: 2056-6328|95|532|40-48

ISSN: 0025-5572

Source: The Mathematical Gazette, Vol.95, Iss.532, 2011-03, pp. : 40-48

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Abstract

In the paper [1], Euler was examining properties of the conic sections that could be shared by more general curves. Most of the paper is concerned with ‘oblique-angle diameters’, a concept that seems to have been familiar to his readers in the eighteenth century, but has been ignored today. In this paper we will explain this concept and, led by Euler, develop some of its consequences.