MathDB

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

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

August 22, 2019

geometryconstructioncircletangent

Problem Statement

a) Given a segment

AB

with a point

C

inside it, which is the chord of a circle of radius

R

. Inscribe in the formed segment a circle tangent to point

C

and to the circle of radius

R

. b) Given a segment

AB

with a point

C

inside it, which is the point of tangency of a circle of radius

r

. Draw through

A

and

B

a circle tangent to a circle of radius

r