140 ROYAL SOCIETY OF CANADA 
Vectors: Projection of a vector on an axis; linear moment with 
respect to a point; moment with respect to an axis. Geometric sum of 
a system of vectors; resultant moment with respect to a point. Sum 
of the moments with prospect to an axis. Application to a couple of 
vectors. 
Descriptive Geometry: Rabatting. Change of plane of Projection; 
rotation about an axis perpendicular to a plane of projection.—Appli- 
cation to distances and angles; distance between two points, between a 
point and a line, between a point and a plane; the shortest distance be- 
tween two lines of which one is vertical or at right angles to the plane, or of 
two lines parallel to the same plane of projection; common perpendicular 
to these lines. Angle between two lines; angle between a line and a 
plane; angle between two planes. 
Kinematics: Units of length and of time.—Motion. Relative 
motion. Trajectory of a point. Examples of motion.—Rectilinear 
motion; uniform motion; velocity, its representation by a vector. 
Varied motion, mean velocity; velocity at a given instant, its repre- 
sentation by a vector; mean acceleration; acceleration at a given 
instant; its representation by a vector. Uniformly varied movement. 
—Curvilinear motion. Mean velocity, velocity at a given instant 
defined as vectors. Algebraic value of velocity. Hodograph. Accele- 
ration.—Uniform circular motion, angular velocity; projection on a 
diameter. Simple oscillation in a line.—Change of the system of com- 
parison. Resultant of velocities.—Examples and applications. (Purely 
geometrical applications are not to be insisted upon).—Geometrical 
study of the helix. Helicoidal motion of a body. Screw and nut. 
Dynamics: Work of a force applied to a material point. Unit of 
work. Work of a constant force, of a variable force. Elementary 
work, total work. Graphical evaluation. Work of the resultant of 
several forces. Theorem of forces acting on a material point. Simple 
examples. | 
Cosmography: Moon. Apparent proper motion on the celestial 
sphere. Phases. Rotation. Variation of the apparent diameter. 
Eclipses of the moon and of the sun. 
