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Outer Soddy Triangle |
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The Outer Soddy Triangle is the triangle whose vertices are the points of tangency of the Outer Soddy circle with the three Soddy circles. The Outer Soddy Triangle exists if ond only if the Outer Soddy Circle exists, that is, if and only if
where a, b and c are the side lengths of
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ABC,
r is the inradius and R is the circumradius.
