"We have taken... coefficient K... to be the measure of the specific conducibility of each substance; this... has... different values for different bodies. It represents... the quantity of heat which, in a homogeneous solid formed of a given substance and enclosed between two infinite parallel planes, flows, during one minute, across a surface of one square metre taken on a section parallel to the extreme planes, supposing that these two planes are maintained, one at the temperature of boiling water, the other at the temperature of melting ice, and that all the intermediate planes have acquired and retain a permanent temperature."
January 1, 1970
https://en.wikiquote.org/wiki/The_Analytic_Theory_of_Heat