Equal weights at equal distances balance.
Equal weights a unequal distances do not balance but incline towards the weight that is at the greater distance.
How can you proof that:
A. If we have equilibrium and the weights are equal, then the distances are equal.
Proof: Suppose unequal distances and equal weights, then there is no equilibrium. But there is equilibrium, so there must be equal distances.
B. If we have equilibrium and the distances are equal, then the weights are equal.
C. If we have equilibrium and the weights are unequal, then the distances are unequal.
I tried to proof B and C by contraposition, but this is not possible in my opinion? How can you proof it?