In the figure below, three circles of radiii:
a,
b,
c
are
mutually
tangent to each other and a line. Prove that:
.
References: Fukagawa Hidetoshi, Tony Rothman, "Sacred
Mathematics: Japanese Temple Geometry" (Princenton
University Press, 2008).
See
also:
Geometry problem 1154
Geometric art
version 1
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