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The third law could be expressed as:
If T1 = T2 and T2 = T3, then T1 = T3.
Where
T1 is the temperature of system (or object) 1.
T2 is the temperature of system (or object) 2.
T3 is the temperature of system (or object) 3.
That may seem trivial from an algebraic standpoint but it has profound implications in thermodynamics because it helps define the meaning of temperature and thermal equilibrium.
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