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The Zeroth law of thermodynamics is a generalization about the thermal equilibrium among bodies, or thermodynamic systems, in contact. It results from the definition and properties of temperature. A system is said to be in thermal equilibrium when its temperature does not change over time. It can be stated as: "If A and C are each in thermal equilibrium with B, A is also in thermal equilibrium with C."

Reminds me of the many many times I had to use that law (maybe they were called geometry theorems) in my high school Euclidean geometry class to prove the problems given to us. Only then it was, "things equal to the same thing are equal to each other" and we would end our proofs with the famous "Q.E.D." (quod erat demonstratum). I don't speak highly of the Roman Empire but they did have a few excellent mathematicians.

In fact, that rule does assert that thermal equilibrium is a Euclidean relation between thermodynamic systems. If we also grant that all thermodynamic systems are (trivially) in thermal equilibrium with themselves, then thermal equilibrium is also a reflexive relation. Relations that are both reflexive and Euclidean are equivalence relations. One consequence of this reasoning is that thermal equilibrium is a transitive relation between the temperature T of A, B, and C: ... if T (A) = T (B), and T (B) = T (C), then T (A) = T (C).

And I repeat, other than that high school theorem, if you think Buddy can make any sense our ot this lesson, then you, yourself, have a high degree of temperature, and should immediately see a physician to bring that fever down (farenheit or celcius, matters not).