Are you intending to say that there is a transitive property of rhyming? And that if that if A does not rhyme with B then there may not exist a word C that rhym

Are you intending to say that there is a transitive property of rhyming? And that if that if A does not rhyme with B then there may not exist a word C that rhymes with both A and B? If so, your ideas are intriguing to me, and I wish to subscribe to your newsletter.