ROYAI. IRISH ACADKMY 



PROCEEDINGS. 



SliCTION A. 



[Mathematical, Astronomical, and Physical Science.] 



Vol. XXVIII. 



1. On the Motion of an Electrified Spliere. 

 A. W. COXWAY, F.R.S. 6d. 



2. Contributions to the Theory of Screws. 

 Sir RobilRt Ball, f.r.s. as. 



3. The Symbolical Expression of Eliminants. 

 Rev. W. R. W. Roberts, d.d. 6d. 



Vol. XXIX. 



1. On tlie Application of Quaternions to some recent Developments of Electrical 

 Theory. 



A. W. Conway, e.r.s. 6d. 



2. E.xtejisions of Fourier's and the Bessel-Fourier Theorems. Second Paper. 

 W. M'F. Okr, f.r.s. 6d. 



3. The Linear Comple.x, and a Certain Class of Twisted Curves. 

 Rev. M. F. Egan, m.a. is. 



4. The Differentiation of Quaternion Functions. 



K. T. Wang. 6d. 



5. The Electric Charge on Rain (Part I). 

 J. A. McClelland, d.sc, f.r.s., and J. J. Nolan, ji.sc. 6d. 



6. Some Differential Properties of the Orthog-onal Trajectories of a Congruence 

 of Curves, with an Application to Curl and Divergence of Vectors. 



R. a. p. Rogers, m.a. 6d. 



Vol. XXX. 



No. 1. The Riemann Integral and Measurable Sets. 



M. J. CONRAN, M.A. 6d. 



„ 2. On the Graphical Construction of Maximum Bending-Moments on Short 

 Girders due to a Locomotive. 



T. Alexander, m.a.i. 6d. 



,, 3. Magnetic Resolution of the Spectrum Lines of Niobium. 



R. Jack, d.sc. 6d. 



,, 4. The Electric Charge on Rain (Part II). 



J. A. McClelland, d.sc, f.r.s., and J. J. Nolan, m.sc. 6d. 



,, 5. The Large Ions in the Atmosphere. 



J. A. McClelland, d.sc, f.r.s., and H. Kennedy, m.sc. 6d. 



,, 6. The Quadratic Vector Function. 



Rev. T. Roche, m.a. 6d. 



Vol. XXXII. 



,, 1. The Large Ions in the Atmosphere. 



H. Kennedy, m..sc. bd. 



, 2. Note on the Use of Conjugate Functions in some Dynamical Problems. 



H. C. Pm mmer, m.a. 6d. 



,, 3. Real and Complex Numbers considered as Adjectives or Operators. 



M. W. J. Fkv. M.A. 6d. 



,, 4. On Doublet Distributions in Potential Theory. 



J. G. Lkaihem, d.sc. 6d. 



,, 5. The Electrical Conductivity of Powders in Thin Layers. 



J. A. McClelland, d.sc, i'.k.s., and J. J. Dowling, m.a. 6d. 



,, 6. Integral Equation proposed by Abel. , 



Rev. p. J. Browne, m.a. f ^^ 



,, 7. A 3 -dimensional Complex Variable. j 



S. B. Kelleher, M..A. / 



