MathProblemsBank

5.3.1.1 Construction of secrets

Build the section of the tetrahedron \ (a b c d \) with a plane parallel to the rib \ (a c \) and passing through the points \ (p \) and \ (q \) on the ribs \ (a b \) and \ (c d \) such that \ (b p: p a = c q d = 1: 2 \).