intermediate value theorem

Model Perspective

Dec 5, 2022 · Fundamentals

Can All Four Legs of a Chair Touch the Ground on an Uneven Surface? A Mathematical Proof

Exploring whether a chair with four equal-length legs can always rest evenly on a non‑flat surface, this article models the problem using coordinate transformations and continuity, applies the intermediate value theorem, and demonstrates that on a smooth curved floor the legs can indeed all touch simultaneously.