CONTENTS. IX 



Page 

 8. On the proper form of Lightning Conductors. By William Hexrt 

 Pbeecb ^'^ 



•9. On the necessity for a regular Inspection of Lightning Conductors. By 

 KicHARD Anderson, F.C.S., A. Inst. C.E 471 



10. Note on the Theory of the Induction Balance. By Lord Katleigh, 



F.R.S., Professor of Experimental Physics in the University of Cambridge 472 



SATURDAY, AUGUSTS. 



1. Report of the Committee on Mathematical Tables 473 



2. Report of the Committee appointed to calculate Tables of the Fundamental 



Invariants of Algebraic Forms 473 



3. Report on the present state of knowledge of the application of Quadratures 



and Literpolation to actual data 473 



4. On Maximum and Miuimimi Energy in Vortex Motion. By Professor Sir 



William Thomson, M.A., F.R.S 473 



5. On Inverse Figures in Geometry. By Professor H. J. S. Smith, M.A., 



F.R.S • '^76 



6. On a Mathematical Solution of a Logical Problem. By Professor H. J. S. 

 Smith, M.A., F.R.S ^''6 



7. On the Distribution of Circles on a Sphere. By Professor H. J. S. Smith, 



M.A., F.R.S 476 



8. Notes on Non-Euclidian Geometry. By Robert S. Ball, LL.D., F.R.S. 476 

 9 On the deduction of Trigonometrical from Elliptic Function Formulae. By 



J. W. L. Glaisher, M.A., F.R.S 477 



10. On Plane and Spherical Curves of the Fourth Class with Quadruple Foci. 



By Henry M, Jeffery, F.R.S 478 



11. On the equations to the real and to the imaginary directrices and latera 

 recta of the general conic {a,b,c,e,f,g,h) (.r,yl)'^ = o ; with a note on a 

 property of the director circle. By Professor R. W. Gbnese, M.A 480 



12 Note on the Skew Surface of the Third Order. By Professor H. J. S. 



Smith, M.A., F.R.S 482 



13 On a kind of Periodicity presented by some Elliptic Functions. By 

 Professor H. J. S. Smith, M.A., F.R.S 482 



14. On Algebraical Expansions, of which the fractional series for the cotangent 



and cosecant are the limiting forms. By J. W. L. Glaisher, M.A., 

 F.R.S 482 



15. Note on a Trigonometrical Identity involving products of Four Sines. By 

 J.W. L. Glaisher, M.A., F.R.S 484 



16. On the Periods of the First Class of Hyper-eUiptic Integrals. By 

 William R. Roberts, M.A 485 



17. On the Integral of Laplace's Equation in Finite Terms. By the Rev. S. 

 Earnshaw, M.A 486 



MONDAY, AUGUST 30. 



a. Report of the Committee on Tidal Observations in the English Channel, 



&c 488 



2. Report of the Committee on Luminous Meteors 488 



•3. Report of the Committee on the question of Improvements in Astronomical 

 Clocks 488 



