Adams' Circle
Theorem.
Level: High School, SAT
Prep, College geometry

Given a triangle ABC, the
incenter I, the
incircle, and the
Gergonne point G. Construct the contact
triangle A'B'C' . Adams theorem (1843) states that the parallels
to the sides of the contact triangle from G, intersect the side
of the triangle ABC in 6 points lying on a circle (Adams'
circle) concentric to the incircle.
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