Brachistochrone Curve Demonstration

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In mathematics and physics, a brachistochrone curve originates from Ancient Greek βράχιστος χρόνος (brákhistos khrónos), translating to 'fastest descent'. This type of curve is defined as the one on a plane between two distinct points A and B, where point B lies below point A but not directly beneath it. A bead glides frictionlessly along this curve under the influence of a uniform gravitational field, reaching its endpoint in record time.