This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 102

2005 Oral Moscow Geometry Olympiad, 6
Tags: combinatorial geometry , geometry , Tangents
Six straight lines are drawn on the plane. It is known that for any three of them there is a fourth of the same set of lines, such that all four will touch some circle. Do all six lines necessarily touch the same circle? (I. Bogdanov)

1949-56 Chisinau City MO, 45
Tags: Locus , circles , Tangents , equal segments
Determine the locus of points, from which the tangent segments to two given circles are equal.