BRACHISTOCHRONE
Bernoulli's challenge, 1696
Cycloid (fastest!)
—
Straight line
—
Parabola
—
Circle arc
—
Cycloid: x=R(θ−sinθ), y=R(1−cosθ)
Minimizes ∫ds/√(2gy) — Euler-Lagrange
gravity
9.8
m/s²
Race!
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