Problem: Sentence1: We should go farther in this matter.
Sentence2: She went through a lot of trouble.
Q: Does the term go mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: The Academy of Music.
Sentence2: The American Academy of Arts and Sciences.
Q: Does the term academy mean the same thing in both these sentences?

Answer: different meanings

Problem: Sentence1: The taproot of his resentment.
Sentence2: Genius and insanity spring from the same taproot.
Q: Does the term taproot mean the same thing in both these sentences?

Answer: the same meaning

Problem: Sentence1: She is the personification of optimism.
Sentence2: The Grim Reaper is a personification of death.
Q: Does the term personification mean the same thing in both these sentences?

Answer:
the same meaning