VI CONTENTS. 



NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Mathematics. 



Page 



Address by G. B. Airy, Astronomer Royal, President of the Section 1 



Mr. A. Cayley on Curves of the Third Order 2 



Mr. Thomas Dobson on the General Forms of the Symmetrical Properties of 

 Plane Triangles 2 



C. F. Ekman's Inquiry into the Fundamental Principles of Algebra, chiefly 

 with regard to Negative and Imaginary Quantities 4 



M. BiERENS DE Haan on Definite Integrals 4 



Sir W. R. Hamilton on Geometrical Rests in Space 4 



Rev. T. P. KiEKMAN on the Roots of Substitutions 4 



Professor Price on the Influence of the Rotation of the Earth on the Apparent 

 Path of a Heavy Particle 6 



Mr. W. H. L. Russell on the Calculus of Functions, with Remarks on the 

 Theory of Electricity 9 



Mr. William Spottiswoode on Petzval's Asymptotic Method of solving Dif- 

 ferential Equations 10 



on the Reduction cf the decadic Binary Quantic 



to its Canonical Form 11 



Professor Sylvester on the Involution of Axes of Rotation 12 



Astronomy. 



M. N. Adler on the Almanac 12 



The Astronomer Royal's Remarks on Dr. Hincks's Paper on the Acceleration 

 of the Moon's Mean Motion as indicated by the Records of Ancient Eclipses 12 



Mr. J. S. Stuart Glennie on the Resistance of the Ether to the Comets and 

 Planets, and on the Rotation of the latter 13 



Mr. R. P. Greg on M. Haidinger's Communication on the Origin and Fall 

 of Aerolites 13 



M. W. Haidinger's attempt to account for the Physical Condition and the 

 Fall of Meteorites upon our Planet 15 



■ Rev. Edward Hincks on the Quantity of the Acceleration of the Moon's 

 Mean Motion, as indicated by the Records of certain Ancient Eclipses 22 



Mr. Daniel Vaughan on Cases of Planetary Instability indicated by the ap- 

 pearance of Temporary Stars 24 



