MathDB

17

Part of 2014 Sharygin Geometry Olympiad

Problems(1)

center of circles construction only by ruler

Source: Sharygin Geometry Olympiad 2014 Correspondence Round P17

8/1/2018
Let ACAC be the hypothenuse of a right-angled triangle ABCABC. The bisector BDBD is given, and the midpoints EE and FF of the arcs BDBD of the circumcircles of triangles ADBADB and CDBCDB respectively are marked (the circles are erased). Construct the centers of these circles using only a ruler.
geometryconstructionCircumcenter