brachistochrone

Valid in Scrabble

Pronunciation

/bɹəˈkɪstəkɹəʊn/ (UK)

See all 2 pronunciations

/bɹəˈkɪstəkɹəʊn/ (UK) · /bɹæˈkɪstəkɹoʊn/ (US)

Definition of brachistochrone

1 sense · 1 part of speech · etymology included

noun

A cycloid; the curve of fastest descent between two points.

“Let A and B be two fixed points. Then the time it takes a particle to slide under the influence of gravity along some path joining A and B depends on the choice of the path (curve), and hence is a functional. The curve such that the particle takes the least time to go from A to B is called the brachistochrone.”

Definitions from Wiktionary, CC BY-SA.

From Ancient Greek βράχιστος (brákhistos, “shortest”) + χρόνος (khrónos, “time”). The term was coined by Johann Bernoulli.

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