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Brachistochrone curve (2909 bytes)
1: [[image:brachistochrone.png|right]] 2: A '''Brachistochrone curve''', or curve of fastest descent, is the cur... 4: == The brachistochrone is the cycloid == 6: ... slope and also passes through ''B''. This is the brachistochrone curve. 7: The brachistochrone thus does not depend on the body's mass or on the... 1696 in science (783 bytes) 7: ...[Johann Bernoulli]] solve [[brachistochrone curve|brachistochrone problem]], the first result in the [[calculus of ... Tautochrone curve (747 bytes) 3: ...ion was later used to attack the problem of the [[brachistochrone curve]]. Calculus of variations (2582 bytes) 1: ... form: one example is the [[brachistochrone curve|brachistochrone]], the path along which a particle would descend ... List of variational topics (798 bytes) 4: *[[Brachistochrone curve]] List of mathematics history topics (1172 bytes) 6: *[[Brachistochrone curve]] Cycloid (3621 bytes) 6: ...id is the solution to the [[brachistochrone curve|brachistochrone problem]] (i.e. it is the curve of fastest descen... Hamilton-Jacobi-Bellman equation (1316 bytes) 3: ...h an associated cost function. For example, the [[brachistochrone problem]] can be solved using this method. Timeline of classical mechanics (4140 bytes) 16: ...i shows that the cycloid is the solution to the [[brachistochrone]] problem Curve (10841 bytes) 92: ... Solutions to variational problems, such as the [[brachistochrone]] and [[tautochrone]] questions, introduced prope... Timeline of mathematics (21753 bytes) 49: ...[Johann Bernoulli]] solve [[brachistochrone curve|brachistochrone problem]], the first result in the [[calculus of ... List of English words of Greek origin (18212 bytes) 137: ; [[brachistochrone]] Isaac Newton (in depth, 3/3) (23744 bytes) 31: ...o solve two problems—(1) to determine the [[brachistochrone]] between two given points not in the same vertic... List of mathematical topics (A-C) (59544 bytes) 494: [[Brachistochrone curve]] [[Talk:Brachistochrone curve| ]] -- History of perpetual motion machines (48634 bytes) 35: ...d]] [[energy]] machine. Bernoulli developed the [[brachistochrone problem]] in [[June]] [[1696]] and is regarded as...
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