# A note on a problem of Apollonius

@article{FitzGerald1974ANO,
title={A note on a problem of Apollonius},
author={J. Fitz-Gerald},
journal={Journal of Geometry},
year={1974},
volume={5},
pages={15-26}
}
Degenerate cases of the problem of Apollonius, to construct a circle tangent to each of three given circles, are discussed and exhaustively classified for proper circles (finite and non-zero radius). Singular cases are considered, and an outline of the extension of the problem to higher dimensions given. Amusing alternative interpretations of the results are obtained.
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