Getting an element from a Set

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Why doesn’t Set provide an operation to get an element that equals another element?

Set<Foo> set = ...;
...
Foo foo = new Foo(1, 2, 3);
Foo bar = set.get(foo);   // get the Foo element from the Set that equals foo

I can ask whether the Set contains an element equal to bar, so why can’t I get that element? 🙁

To clarify, the equals method is overridden, but it only checks one of the fields, not all. So two Foo objects that are considered equal can actually have different values, that’s why I can’t just use foo.

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