Gábor Gévay,
A Remarkable Theorem on
Eight Circles,
Forum Geometricorum, 18 (2018) 401--408.
Abstract. For i=1,
…, 6, consider a closed chain of circles Γ_i
such that every two consecutive members Γ_i and
Γ_{i+1} meet in the points (A_i, B_i), with indices modulo 6. We require that both sextuples
(A_1, …, A_6) and (B_1, …, B_6) are cyclic. We prove the theorem
that the three lines connecting the centers of the opposite circles of the
chain concur. In the rest of the paper we present a slightly more general
version of this theorem.
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Geom., 18 (2018) Table of Contents