Q: Does "art" have the same meaning in the following two sentences?

The art of conversation.

How great thou art!

A: the same meaning

Q: Does "discover" have the same meaning in the following two sentences?

The story is false, so far as I can discover.

I discovered how to do it.

A: the same meaning

Q: Does "leak" have the same meaning in the following two sentences?

A leak in a roof.

He had to clean up the leak.

A:
the same meaning