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On Certain Remarkable Triangles

Published online by Cambridge University Press:  20 November 2018

O. Bottema
O. Bottema*
Affiliation:
Technological University Delft, Holland
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In his fine and stimulating book Introduction to geometry (1), Coxeter considers three mutually tangent circles C1 , C2, and C3 (Fig. 1) and calculates the radii of the two circles E1 and E2 that touch all these three. If the centres of Ci are the vertices of a triangle ABC their radii are s — a, s — b, and s — c; α, β, and γ are defined by

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 15 , 1963 , pp. 318 - 322
Copyright
Copyright © Canadian Mathematical Society 1963

References

1. M. Coxeter, H. S., Introduction to geometry (New York, 1961), pp. 13–16.Google Scholar
2. Hobson, E. W., A treatise on plane trigonometry (London, 1925), p. 216.Google Scholar
3. Loria, Gino, Spezielle algebraische und transzendente ebene Kurven, I (2. Aufl., Leipzig, 1910), p. 161.Google Scholar
4. Steiner, Jacob, Gesammelte Werke, I (Berlin, 1881), pp. 60–63, 524.Google Scholar