Online Geometry Problem 821: Adams Circle Theorem, Incenter, Incircle,
Gergonne Point, Contact triangle, Parallel, Six
Concyclic points, Concentric Circles. Level: High School,
SAT Prep, College,
Mathematics Education


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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Solution / comment  By Antonio Gutierrez


