The problem presented in the image involves the geometric configuration of two squares $ABCD$ and $A'B'C'D'$ which do not lie in the same plane. Here's a translation of the given problem:

Problem Statement:

• Given:

  • Two squares $ABCD$ and $A'B'C'D'$ do not lie in the same plane (Figure 1.19).
  • Point $E$ is located on segment $AD$, and point $F$ is located on segment $BC'$.

• Find:

  1. The intersection point of line $CE$ with the plane of $ABCD$.
  2. The intersection point of line $FD'$ with the plane of $ABCD$.

Explanation:

• The problem involves finding intersection points of lines formed by certain vertices and points with a plane that lies within the square $ABCD$.

To approach this problem, we need to:

1. Determine the equation of the plane in which the square $ABCD$ lies.
2. Find the parametric equations of lines $CE$ and $FD'$.
3. Solve for the intersection points of these lines with the plane equation.

Would you like me to proceed with detailed calculations to find the intersection points?