This loss is proportional to the length of the wire.
Under the first head would be included proportional taxes dependent upon the value of the property taxed; under the second, taxes whose amount does not depend upon that value.
Now, we know that the number of electrochemical equivalents electrolysed is proportional to the whole amount of electricity which passed through the circuit, and the product of this by the electromotive force of the battery is the work done by the latter, so that in this case also Joule showed that the heat generated was proportional to the work done.
Two categories of rent, fixed and proportional, are payable to the state by mineowners.
The violence or completeness of combustion was proportional to the amount of phlogiston present.