PTIOCEEDINGS FOR 1889. XLI 



I. Ti-ilinear coonUnate.s on the Sphere and Oblique Coordinates in Geometry of Three 



Diroensions. By Proi^ Alexander Johnson, LL.D. 

 II. On the Expansion of Sin O., Cos 0., and Tan 0., Witliout the Use of Limits. By Prof. 

 K F. Dupcis, M.A. 



III. On the Expansion of .l.r Without the Use of Limits, liy Prof. N. F. Dupuis, M.A. 



IV. On the Expression of the Gcneial Bcrnoullian Jifumber as a Combinational Determinant. 



By Prof. N. F. Dupuis, M.A. 

 V. On an Elementary Way of Obtaining the Discriminant of the General Quadi'atic. By 



Prof. N. F. Dupuis, M.A. 

 VI. On the Shearing Forces and Bending Movements Produced at the Difterent Points of the 

 Chords of a Bridge Truss by the Passage of an Arbitrarily Distributed Live Load. Bj 

 Prop. H T. Boyey, M.A., C.E. 

 VII. On the Variation of the Density with the Concentration of Weak Aqueous Solutions of 



Certain Salts. By Prop. J. G. McGregor, M.A., F.R.S.E. 

 VIII. On the Contraction of Weak Aqueous Solutions of Certain Sulphates. By Prof. J. G. 

 McGregor, M.A., F.R.S.E. 

 IX. A Problem in Political Science. By Sandpord Fleming, C.M.G., C.E. 



X. Annotated List of Minerals Occurring in Canada. By G. 0. Hoffmann, F. Inst. Chem. 

 XI. On the Hygroscopicity of Certain Canadian Fossil Fuels. By G. C. Hoffmann, F. Inst. 

 Chem. 

 XII. Refi-action Through a Prism. By Prof. J. Loudon, M.A. 



XIII. Relations Between the Sum of the Moments ((x) and the Virial (F) of a Set of Coplauar 



Forces before and after Rotation through an Angle 0. By Prof. J. Loudon, M.A. 



XIV. Reciprocal Lines of Force. By Prof. J. Loudon, M.A. 



XV. On a National Standard of Pitch. By Prof. J. Loudon, M.A. 

 XVI. On Some L^nexplained Anomalies in the Flame-Reactions of certain Minerals and Chemical 



Bodies. By Prof. E. J. Chapman, Ph. D., LL.D. 

 XVII. On a Graphic Construction for Occultations and Eclipses. By Prof. N. F. Dupuis, M.A. 



The following resolutions were adopted : — 



It was moved by Prof A. Johnson, LL.D., seconded by Dr. G. P. Girdwood, and carried : — •• That 

 this Section is of opinion that it is desirable that a Conversazione be held on the first evening of each 

 Annual Meeting, at which there may be an exhibition of scientific apparatus and objects of interest in 

 connecnon with the work of the Society." 



It was moved by Prof. A. Johnson, LL.D., seconded by Mr. F. N. Gisborne, and carried : — " That a 

 recommendation bo submitted to the Society, that the following be appointed a committee to support 

 and continue the action initiated by the British Association for the promotion of Tidal Observations in 

 Canadian waters: Mr. Sandford Fleming, C.M.G., President; Sir William Dawson, Sir James Grant, 

 Mr. C. Carpmael, Prof. H. T. Bovey, Mr. E. Deville and Prof A. Johnson, with power to add to their 

 number." 



The consideration of the election of a new member, referred back from the General Meeting to 

 the Section, resulted in its being moved by Mr. F. N. Gisborne, seconded by Mr. T. Macfarlane, and 

 carried: — "That this Section is of opinion that the election for the present vacancy be commenced 

 de novo." 



The officers elected for the ensuing Session were • — 



Sandford Fleming, C.M.G., C.E., President. 

 Monsignor T. E. Hamel, M.A., Vice-President. 

 G. C. Hoffmann, F. Inst. Chem., Secretary. 



(Signed) Sandford Fleming, Vice-President. 



G. C. Hoffmann, Secretary. 

 Proc. 1889. F. 



