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Ellipse Focus

Medium Exhibit Stands · Mathematics

Operation: Place the ring at one focus of the ellipse and launch it in any direction. After bouncing off the surrounding panels, it will always hit the target at the other focus. Repeated experiments always result in a hit. Function Overview: The exhibit consists of an elliptical tabletop and a ring. Place the ring at one focus of the ellipse and launch it in any direction. After bouncing off the surrounding panels, it will always hit the target at the other focus. Scientific Principle: Why does it always hit after repeated experiments? Light emitted from one focus of an ellipse, after reflecting off the ellipse's edge, will converge at the other focus. This is the optical property of an ellipse. Therefore, no matter which direction the ring is launched, after bouncing off the elliptical edge, it will hit the target at the other focus. To obtain the strongest light where the film passes through in a movie projector, this optical property of the ellipse is utilized by placing the filament of the spotlight at one focus of an elliptical reflector.

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