148 ROYAL SOCIETY OF CANADA 
Tangent at a point of a curve of which the coordinates are rational 
functions of a parameter. Points of inflection. Singular points at a 
finite distance. 
Small oscillations of a simple pendulum without friction (iso- 
chronism). 
Intersection of a surface of revolution and of a cone. 
Theory of envelopes in Plane Geometry. 
Conjugate points in connection with a surface of the second order. 
Conjugate planes. Pole and polar planes. Conjugate lines. 
Symmetric and rational functions of the roots of an algebraic 
equation. 
Construction of a curve p=/(w) in polar coords. (It is supposed 
that lessons on tangents and asymptotes have been given). 
Gauche curves. Tangents. Osculating plane. Curvature. Appli- 
cation to the circular helix. 
1 m 
Number e — limit (: + — : 
m 
Field—line of force, function of force, surface de niveau. Theory 
of kinetic energy at a point. 
Theorem of Descartes. 
Movement of a point under the action of a force issuing from a 
fixed centre and proportional to the distance. 
MEMBERS OF THE JURY. 
NIEWENGLOWSKI, /nspector General of Instruction—President. 
HADAMARD, Professor, University of Parts. 
CoMBETTE, /nspector General of Public Instruction. 
FoNTENÉ, /nspector of the Académie. 
GRÉVY, Professor, Lycée Saint-Louis. 
