INTRODUCTION xix necessarily introduced an element of uncertainty depending upon the pressure exerted: a method of ascertaining its magnitude with certainty was wanting. Now the question could be answered definitely and at once. In technical circles equal interest was exhibited, and this induced Hertz to extend the investigation further and to allow it to be published not only in Borchardt's Journal (V. in this volume) but also in a technical journal, with a supplement on Hardness (VI.) About this he writes to his parents as follows:- : 9th May 1882. I have been writing a great deal lately; for I have rewritten the investigation once more for a technical journal in compliance with suggestions which reached me from various directions. I have also added a chapter on the hardness of bodies, and hope to lecture on this to the Physical Society on Friday. I have had some fun out of this too. For hardness is a property of bodies of which scientific men have as clear, i.e. as vague, a conception as the man in the street. Now as I went on working it became quite clear to me what hardness really was. But I felt that it was not in itself a property of sufficient importance to make it worth while writing specially about it; nor was such a subject, which would necessarily have to be treated at some length, quite suitable for a purely mathematical journal. In a technical journal, however, I thought I might well write something about the matter. So I went to look round the library of the Gewerbe- akademie, and see what was known about hardness. And I found that there really was a book written on it in 1867 by a Frenchman. It contained a full account of earlier attempts to define hardness clearly, and to measure it in a rational way, and of many experi- ments made by the writer himself with the same object, interspersed with assurances as to the importance of the subject. Altogether it must have involved a considerable amount of work, which was labour lost-so I think, and he partly admits it because there was no right understanding at the bottom of it, and the measure- ments were made without knowing what had to be measured. So I concluded that now I might with a quiet conscience make my paper a few pages longer; and since this I have naturally had much more pleasure than before in writing it out. Whilst these problems on elasticity were engaging his attention Hertz was also busy with the researches on evapora- tion (VIII. and IX. in this volume) and the second investi- gation on the Kinetic Energy of Electricity in Motion (IV.)