Problem: Sentence1: Simply an identity element if both are true.
Sentence2: A left identity if I * x = x for any x in the structure.
Q: Does the term identity mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: He waited a long time.
Sentence2: He had a time holding back the tears.
Q: Does the term time mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: We'll get them!
Sentence2: This time I got him.
Q: Does the term get mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: The direction of maximum tension moves asymptotically toward the direction of the shear.
Sentence2: There is a tension between these approaches to understanding history.
Q: Does the term tension mean the same thing in both these sentences?

Answer:
different meanings