I am searching for Newton's original formulation of the Law of Cooling. In his article (p.140-143), Newton said:
"For the heat which the hot iron communicates in a given time to cold bodies which are near it, that is, the heat which the iron loses in a given time, is proportional to the whole heat of the iron."
"For thus equal parts of the air are warmed in equal times and carry away a heat proportional to the heat of the iron."
However, he does not really state that the change in temperature is proportional to the difference in temperatures between the body and the environment. Therefore I wonder, where/how did Newton originally formulate his law of cooling or do the quotes above imply the law and I am just quibbling?