The first discoveries in this field were made in the last quarter of the 18th century by J.B. Richter. The point at issue was a rather commonplace one: it was the fact that when two neutral salt solutions were mixed to undergo mutual chemical decomposition and recombination, the resulting liquid was neutral again, i.e. it did not contain any excess of acid or base. In other words, if two salts, A'B' and A" B", composed of the acids A' and A" and the bases B' and B", undergo mutual decomposition, the amount of the base B' left by the first salt, when its acid A' united with the base B" to form a new salt A'B", was just enough to make a neutral salt A"B' with the acid A" left by the second salt. At first sight this looks quite simple and self-evident,--that neutral salts should form neutral ones again and not acid or basic ones,--but if this fact is once stated very serious quantitative inferences may be drawn from it, as Richter showed. For if the symbols A', A", B', B" denote at the same time such quantities of the acids and bases as form neutral salts, then if three of these quantities are determined, the fourth may be calculated from the others. This follows from the fact that by decomposing A'B' with just the proper amount of the other salt to form A'B", the remaining quantities B' and A" exist in exactly the ratio to form a neutral salt A" B'. It is possible, therefore, to ascribe to each acid and base a certain relative weight or "combining weight" by which they will combine one with the other to form neutral salts. The same reasoning may be extended to any number of acids and bases. It is true that Richter did not find out by himself this simplest statement of the law of neutrality which he discovered, but he expressed the same consequence in a rather clumsy way by a table of the combining weights of different bases related to the unit amount of a certain acid, and doing the same thing for the unit weight of every other acid. Then he observed that the numbers in these different tables are proportionate one to another. The same holds good if the corresponding series of the combining weights of acids for unit weights of different bases were tabulated. It was only a little later that a Berlin physicist, G.E. Fischer, united the whole system of Richter's numbers simply into a double table of acids and bases, taking as unit an arbitrarily chosen substance, namely sulphuric acid. The following table by Fischer is therefore the first table of combining weights.