CONTENTS. VU 



NOTICES AND ABSTRACTS 



OF 



MISCELLANEOUS COMMUNICATIONS TO THE SECTIONS. 



MATHEMATICS AND PHYSICS. 



Pag« 



Address by Professor Sir William Thomson, LL.D., M.A., F.R.S,, President 

 of the Section 1 



Mathematics. 



M. Valentino Cebruti sur les Mouvements api5riodic[ues des Systemes de 



Points Materiels - 12 



Professor LmG-i Cremona siir les Systemes de Spheres et les Systemes de 



Droites 12 



Mr. George H. Darwin on Graphical Interpolation and Integration 13 



Ml'. J. W. L. Glaisher on certain Determinants 13 



on a Series Summation leading to an Expression for 



the Theta Function as a Definite Integral 15 



Mr. W. Hatden on Parallel Motion 16 



Mr. Henry M. Jeffery on Plane Cuhics of the Third Class with a Double 



and a Single Focus 17 



on Spherical Class-cubics with Double Foci and 



Double Cyclic Arcs 19 



Professor Giuseppe JuxG; on the Inverse Problems of Moments of Inertia and 



of Moments of Resistance 21 



on the Graphical Representation of the Moments 



of Resistance of Plane Figures 23 



on a new Construction for the Central Nucleus of 



a Plane Section 25 



Professor A. B. W. Kennedy on Centroids, and their Application to some 



Mechanical Problems 2G 



Professor Paul Mansion on an Elementary Demonstration of a Fundamental 



Principle of the Theory of Functions 26 



Mr. Thomas Muer on Convergents 27 



on the Relation between two continued Fraction Expan- 

 sions for Series 28 



Professor F. W. Newman on the Use of Legendre's Scale for Calculating the 



Firet Elliptic Integral 28 



Professor P. G. Tait on General Theorems relating to Closed Cui-ves 29 



Professor James Thomson on a Theorem in the Mensuration of certain Solids 30 



Mr. W. H. Walenn on Division-remainders in Arithmetic 30 



Mr. M. M. U. Wilkinson on Many-valued Functions 30 



GrENEBAL PhTSICS, &C. 



Dr. James Croll on the Transformation of Gravity 30 



Mr. WiLLi.^M Crookes on the Influence of the Residual Gas on the Move- 

 ment of the Radiometer 30 



