5.2.2.17 Construction Problems

Condition: a corner and point \ (m \) is given inside it. Build \ (\ triangle a b c \), similar to this \ (\ delta a_ {0} b_ {0} c_ {0} \), so that \ (A \) and \ (b \) belongs to one side of the angle, point \ (C \) - the other, and the side \ ([b c] \) passed through the point \ (m \).