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I see the image you've uploaded. It includes two diagrams and a text description in Spanish about a geometric problem involving planes, lines, and points.

The text reads:
"Si r', s', r'' y s'' no son coplanarios, llame α al plano que contiene a r' y s' y β al plano que contiene r'' y s''. Pruebe que α es paralelo a β. Tome puntos A' en r', A'' en r'' y P en r''. Por estos puntos, trace rectas paralelas a la recta r'β. Llame A* y P* los puntos en que esas rectas se cortan a β."

Translation:
"If \( r' \), \( s' \), \( r'' \), and \( s'' \) are not coplanar, call \( \alpha \) the plane containing \( r' \) and \( s' \), and \( \beta \) the plane containing \( r'' \) and \( s'' \). Prove that \( \alpha \) is parallel to \( \beta \). Take points \( A' \) on \( r' \), \( A'' \) on \( r'' \), and \( P \) on \( r'' \). Through these points, draw lines parallel to the line \( r'\beta \). Call \( A* \) and \( P* \) the points where these lines intersect \( \beta \)."

### Solution Outline:
1. **Proving \( \alpha \parallel \beta \):**
   - Since \( r' \), \( s' \), \( r'' \), and \( s'' \) are not coplanar, and the respective planes \( \alpha \) and \( \beta \) contain them, the parallelism condition would follow if the normal vectors to the planes are proportional or if corresponding lines in both planes remain parallel.
   
2. **Constructing the Parallel Lines:**
   - Using the given points \( A' \), \( A'' \), and \( P \), lines parallel to \( r'\beta \) should be drawn in each of the planes.
   - \( A* \) and \( P* \) are then the points where these parallel lines intersect the plane \( \beta \).

This is essentially a problem of plane geometry that involves verifying the parallel nature of two planes based on their lines and intersections.

Would you like a more detailed breakdown or explanation of any part of this? Here are some related questions for further exploration:

1. How can we mathematically prove the parallelism of two planes?
2. What are the properties of non-coplanar lines and how do they relate to plane geometry?
3. What is the significance of intersecting parallel lines in 3D geometry?
4. How does the concept of projection come into play when dealing with parallel lines and planes?
5. Can we generalize this geometric principle to higher dimensions?

**Tip:** When working with planes and lines in geometry, always visualize the 3D configuration to understand the relationships between different elements.

Si r', s', r'' y s'' no son coplanarios, llame α al plano que contiene a r' y s' y β al plano que contiene r'' y s''. Pruebe que α es paralelo a β. Tome puntos A' en r', A'' en r'' y P en r''. Por estos puntos, trace rectas paralelas a la recta r'β. Llame A* y P* los puntos en que esas rectas se cortan a β.

In this advanced geometric problem, learn how to prove that two planes are parallel based on the intersection and parallelism conditions of non-coplanar lines. This solution involves drawing parallel lines in 3D space and using key geometric theorems related to parallelism and non-coplanarity.

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