16 burgess: melting points of elements 



ing exhausted, a thorough revision was undertaken. In the 

 second edition the same general plan and division into sections 

 has been adhered to, with the difference that each example now 

 appeals in the section to which it applies. Considerable new 

 material has been introduced into the sections on the mutual 

 inductance of coaxial circles, the mutual inductance of coaxial 

 solenoids, and the self inductance of solenoids, and a new section 

 has been added, treating of the change of the inductance and 

 resistance of straight cylindrical wires with change in the fre- 

 quency of the current. 



Of the new tables appearing in this edition, may be noted 

 especially Nagaoka's tables for the calculation of the correction 

 which must be applied to the self inductance of a solenoid to 

 take account of the effect of the ends, and the tables for calculat- 

 ing the change of inductance and resistance with the frequency. 



A number of new examples have been introduced, in connection 

 with the new formulas, special attention having been given to 

 the agreement of the different formulas and the checking of the 

 results, and to aid in the selection of suitable formulas for any 

 given problem. A portion of each section has been devoted to a 

 discussion of the points of advantage and range of applicability 

 of each of the formulas therein given. 



This collection is intended primarily for work of the highest 

 precision, and the formulas are consequently often more elaborate 

 than will be required in much work of moderate precision. In 

 such cases the calculation may be considerably simplified by 

 carrying out the values of the various quantities to a smaller 

 number of places of decimals, and by the retention of a smaller 

 number of terms in the series formulas. The authors have in 

 contemplation the preparation of a collection of approximate 

 formulas for work of less precision. 



CHEMISTRY. — The melting points of the chemical elements. 

 George K. Burgess, Bureau of Standards. 



There has been much work done recently in the more exact 

 location of some of these fixed points. The accompanying 



