Abstract
Data are given on the nature of the singularities near the tip of a dielectric cone of circular cross section. For a "sharp" cone the singularity is associated with a <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">\varphi</tex> -independent potential; for a "reentrant" cone with a " <tex xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">cos \varphi</tex> " type of potential.
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