motion, and the leading principles of the science of energy, by which Heat becomes related to other forms of motion, are discussed. It may be well to state the basis on which the reasoning of this part has been founded. It has appeared to the Author that the foundation which involves the smallest amount of assumption is that adopted by Professor W. Thomson, namely the denial of the possibility of a perpetual motion of any kind, and it will be shewn in the sequel that the denial of one form of perpetual motion involves the principle of the conservation of energy,' while the denial of another form involves the principle of the dissipation of energy.' In our ignorance of the ultimate constitution of matter it would thus appear that both the 'conservation of energy and the degradation or dissipation of energy' should be viewed as principles having very strong claims to recognition, and as increasing these claims every day by the new facts which their employment as instruments of research is constantly bringing to light. A few words with regard to the mode in which the subject of temperature is viewed. Some eminent philosophers are of opinion that our methods of subdividing a range of temperature are to a great extent arbitrary, so that provided we always adhere to the same method we shall not be led into error. Be this as it may, there can be no question that some methods of doing this are much more convenient than others; nay, even that one method, that by the air ther mometer, enjoys such a pre-eminence of convenience that it may with propriety be termed the proper method of subdividing a range of temperature. Starting with the assumption that there is a proper method of measuring temperature, it is shewn near the beginning of this work that even if we are ignorant of this proper method there is yet an advantage in employing an air thermometer. This advantage consists in the fact that we may use any permanent gas we choose for our air thermometer, and yet obtain results as nearly as may be identical with one another if all our instruments are read on the same principle; while, on the other hand, the indications of two thermometers filled with different liquids, and both graduated on the same principle, are not strictly comparable with each other. If we determine to prefer an air thermometer we still have to decide on what principle it ought to be read, and, while this principle is indicated at the commencement of the work, the reasons in favour of its adoption are not fully discussed until the end. The author cannot omit the opportunity of acknowledging his obligations to several scientific friends for the suggestions and advice they have kindly given him ; more especially is he indebted to the organizing Secretary of this Series of Works at Oxford for much valuable assistance throughout the book. Preliminary Definition of Temperature . . . . 11-13 Requirements to be fulfilled by a good Thermometer. 14-15 Process of Filling . . . . . . . 16 Calibration : . . . . . . . 17 Determination of Freezing-point : Determination of Boiling-point . Various Scales (with examples) . . . . 21 Correction for Change of Zero . . . . 22 Other Sources of Error (with example) . . . 23-25 Maximum Thermometer. . . . . . 27 Minimum Thermometer. . . . . . 28 CHAPTER II.- Dilatation of Solids. Experiment shewing Dilatation . . . . 32 Dilatation of Uncrystallized Solids :- Linear Dilatation:-(1) Lavoisier's Method of Measurement 34 (3) Pouillet and Daniell's Methods . 36 Cubical Dilatation :-Method of Finding it (with ex- Relation of Cubical to Linear Di- latation (Table). . . 41 Increase of Coefficient of Dilatation Dilatation of Crystals . . . . . . 43 Remarks on Dilatation of Solids . . . . 44-45 CHAPTER III.- Dilatation of Liquids. Apparent and Real Dilatation . . . . . 46 (1) Method by Thermometers . . 47 (2) Method by Specific Gravity Bottle 48 (3) Areometric Method (with example) 49 Absolute Dilatation of Mercury . Table of Dilatation of Mercury . . . · 52 Dilatation of Water . . . . . . 53 Table of Dilatation of Water . . . . . 54 Dilatation of other Liquids (with Table) . . 55 Dilatation of Volatile Liquids . . . Article Relation between Temperature and Pressure of Air of Constant Volume . . . . . . 63 Relation between Temperature and Volume of Air of . Constant Pressure . . . . . . Dilatation of other Gases at Ordinary Pressures. . CHAPTER V.-- Applications of the Laws of Dilatation. Division of Subject . . . . . . ... Standards of Length . . . . . . . French Standard (with Table of Comparison) . . Standards of Weight . . . . . . . English Standard . . . . . . . French Standard (with Table of Comparison) . inch of water and specific gravity of mercury) . Remarks on the English and French System of Standards. Effect of Temperature on Measures of Time : : : Graham's Mercurial Pendulum . . . . . Harrison's Gridiron Pendulum . . . . . 79 Compensation Balance . . . . . Other Applications of the Laws of Dilatation :- Breguet's Metallic Thermometer . CHAPTER VI.-Change of State.-Liquefaction and Solidification. Remarks on Change of State . . . . . 84-87 80 Passage from the Solid to the Liquid State :- Table of Melting Points . . . . . 89 Change of Density in Melting . . . . 90 Influence of Pressure upon the Melting Point |