Here one can see a graph of the brachistochrone for the given endpoint. For this, JAVA-applets must be supported.
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In case of any problems let me know on address iagsoft@cs.imm.uran.ru. Constructive critical rewiews are kindly appreciated.
Applet description (in Russian)
Here is new version of the brachistochrone applet
 iagsoft@imm.uran.ru