
5.3.1.11 Construction of secrets
Condition: on the rib \ (s b \) pyramids \ (s a b c \) points \ (d \) and \ (e \) are selected, so that \ (s d = d e = 1, b e = 2 \). The sections of the pyramid with planes perpendicular to the rib \ (s b \) and passing through the points \ (d \) and \ (e \), have areas 5 and 16, respectively, and the first of these sections is a triangle, one of the vertices of which divides the rib / (s \) in relation to \ (2: 1 \), counting from the top \ (s \). Find in what relations the second section shares the ribs of the pyramid.