CONTENTS. IX 



Page 

 (5. On the Principal Screws of Inertia of a free or constrained Rigid Body. 

 By Professor R. S. Ball 463 



7. On the Applicability of Lagrange's Equations to certain Problems of Fluid 

 Motion. By Professor J. Purser 463 



8. On the Occurrence of Equal Roots in Lagrange's Determinental Equation 



of Small Oscillations. By Frederick Purser, M.A 463 



9. On Halphen's New Form of Chasles's Theorem on Systems of Conies 



satisfying Four Conditions. By Dr. T. Archer Hirst, F.R.S 464 



1 0. On the Law of Force to any Point when the Orbit is a Conic. By J. W. 



L. Glaisher, M.A., F.R.S 464 



1 1 . Note on the Geometrical Treatment of Bicircular Quartics. By Frede- 

 rick Purser, M.A 465 



12. On Quadric Transformation. By Professor H. J. S, Smith 465 



18. On Certain Linear Differential Equations. By the Rev. Robert Harley, 



F.R.S 466 



14. On the Solution of a Differential Equation allied to Riccati's. By J. W. 



L. Glaisher, M.A., F.R.S 469 



15. On Certain Special Enumerations of Primes. By J. W. L. Glaisher. 

 M.A., F.R.S '. 470 



16. Notes on Circulating Decimals. By J. W. L. Glaisher, M.A., F.R.S. ... 471 



17. Elementary Demonstration of the Theorem of Multiplication of Deter- 



minants. By M. Falk, Docens of Mathematics in the University of 

 Upsala 473 



18. On the Motion of Two Cylinders in a Fluid. By W. M. Hicks, M.A. ... 475 



TUESDA Y, A UG UST 20, 1878. 

 Department of Astronomy. . 



1. Report of the Committee on Luminous Meteors. By James Glaisher... 477 



2. Report of the Committee on the Tides in the English Channel 477 



8. On an Equatorial Mounting for a Three-Foot Reflector. By the Earl of 

 Rosse 477 



4. On the Tides of the Southern Hemisphere and of the Mediterranean. By 



Capt. Evans, R.N, and Sir William Thomson, LL.D 477 



5. On the Influence of the Straits of Dover on the Tides of the British 



Channel and the North Sea. By Sir William Thomson 481 



(>. On the Sun-heat received at the several Latitudes of the Earth, taking 

 Account of the Absorption of Heat by the Atmosphere, with Conclusions 

 as to the absolute Radiation of Earth Heat into Space, and the Minimum 

 Duration of Geological Time. By Professor S. Haughton 482 



7. Researches made at Dunsink on the Annual Parallax of Stars. By Professor 



R. S. Ball 482 



8. On the Precession of a Viscous Spheroid. By G. H. Darwin, M.A., 

 Fellow of Trinity College, Cambridge 482 



9. On the Limits of Hypotheses regarding the Physical Properties of the 



Matter of the Interior of the Earth. By Professor Henry Hennessy, 

 F.R.S 485 



10. On the Climate of the British Islands. By Professor Henry Hennessy, 

 F.R.S 485 



