Vlll " CONTKNTS. 



NOTICES AND ABSTEACTS 



OP 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Pago 



Address by Professor H. J. S. Smith, M.A., F.R.S., President of the Section 1 



Mathehatics. 



Professor Cayley on tlie Mercator's Projection of a Surface of Eevolution . . 9 



Professor W. K. Clitfobd on some Curves of the Fifth Class 9 



'■ on a Surface of Zero Curvature and Finite Extent 9 



Mr. J. W. L. Glaisiier on certain Propositions in the Theory of Numbers 



deduced from Elliptic- transcendent Identities 10 



on the Negative Minima of the Gamma fimction . , 13 



on the Introduction of the Decimal Point into 



Arithmetic 13 



Mr. G. O. Hanlon on the Formation of an extended Table of Logarithms . . 17 



The Rev. Robert Haeley on the Theory of Differential Resolvents 17 



on Professor Evans's Method of solving Cubic 



and other Trinomial Equations 22 



M. Ch. HEEMiTESur ITrrationalite de la Base desLogarithmesHyperbolit^ues 22 



Professor Henby J. Stephen Smith on Modular Equations 24 



Mr. W. Spottisw'oode on Triple Tangent Planes 24 



The Rev. Henhy Wage on the Calculation of Logarithms 24 



Mechanics akd Physics. 



Dr. Robert Stawell Ball on a Geometrical Solution of the following 

 problem: — A quiescent rigid body possessing three degrees of freedom 

 receives an impulse ; determine the instantaneous screw about which the 



body commences to twist 26 



on the Theory of Screws 27 



Professor J. D. Everett on the Kinematics of a Rigid Body 28 



