42

G42

of places its value is the sum of those for the separate
parts. The homoge[n]eity of the concepts is excellent. Once Listing's
analysis had shown that these four concepts are the ideas
upon which the extended theorem had to be con mainly
considered (after those of continuity and dimensionality,)
in the investigation of the extended theorem it was
became a very simple thing to trace out its formula;
much simpler and more facile than the ordinary theorematic
demonstrations of the mathematicians. It was more like