MathDB

E_1

and

E_2

are parallel planes and their distance is

p

. (a) How long is the seitenkante of the regular octahedron such that a side lies in

E_1

and another in

E_2

? (b)

E

is a plane between

E_1

and

E_2

, parallel to

E_1

and

E_2

, so that its distances from

E_1

and

E_2

are in ratio

1:2

Draw the intersection figure of

E

and the octahedron for

P=4\sqrt{\frac32}

cm and justifies, why the that figure must look in such a way

3