[The subjects of the entrance examination] are the following:—
Arithmetic, including Vulgar and Decimal Fractions, Weights and Measures, Involution and Evolution; Simple Interest.
Geometry of Planes and Solids; application of Geometry to Surveying; Properties of Spherical Triangles.
Algebra, including Quadratic Equations with one unknown quantity, Series and Progressions in general; Binomial Theorem and its applications; Logarithms and their use; on Derived Functions; on the Theory of Equations; on Differences; application of the Theory of Differences to the Numerical Solution of Equations.
Plane and Spherical Trigonometry; Solution of Triangles; application of Trigonometry to Surveying.
Analytical Geometry, including Geometry of two dimensions; Co-ordinates; Equations of the first and second degree, with two variables; Tangents and Asymptotes; on the Ellipse, Hyperbola, and Parabola; Polar Co-ordinates; Curved Lines in general.
Geometry of three dimensions, including the Theory of Projections; Co-ordinates; the Right Line and Plane; Surfaces of the second degree; Conical and Cylindrical Surfaces.
Descriptive Geometry; Problems relative to a Point, Right Line and Plane; Tangent Planes; Inter of Surfaces.
Mechanics; on the Movement of a Point considered geometrically; on the Effect of Forces applied to points and bodies at rest and moving; on the Mechanical Powers.
Natural Philosophy, including the Equilibrium of Liquids and Gasses; Heat; Electricity; Magnetism; Galvanism; Electro-magnetism and Light; Cosmography.