1. **Stating the problem:** Explain the concept of "chevauchements" (overlaps) in a mathematical or geometric context. 2. **Definition:** "Chevauchements" means overlaps or intersections where two or more objects share some common area or volume. 3. **In geometry:** Overlaps occur when shapes or figures cover some of the same space. 4. **Example:** Two circles overlapping create a lens-shaped region called the intersection. 5. **Mathematical representation:** For two sets $A$ and $B$, the overlap is the intersection $A \cap B$. 6. **Properties:** The size of the overlap can be measured by the area (2D) or volume (3D) of the intersection. 7. **Applications:** Overlaps are important in probability (common outcomes), geometry (intersecting shapes), and real-world problems like packing or coverage. 8. **Summary:** Chevauchements describe how objects share space, and understanding them helps analyze intersections and common regions in math and real life.