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 brachistochrone - Definition 

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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This article is licensed under the GNU Free Documentation License. It uses material from the Wikipedia article "brachistochrone".