MathDB

6

Part of 2006 Sharygin Geometry Olympiad

Problems(1)

2 circles construction, related to a given circle and line segment

Source: Sharygin 2006 CR 6 VIII-IX (a) , IX-X (b)

8/22/2019
a) Given a segment ABAB with a point CC inside it, which is the chord of a circle of radius RR. Inscribe in the formed segment a circle tangent to point CC and to the circle of radius RR. b) Given a segment ABAB with a point CC inside it, which is the point of tangency of a circle of radius rr. Draw through AA and BB a circle tangent to a circle of radius rr.
geometryconstructioncircletangent