(2.) Geometry.—Geometry of right lines, planes, and volumes and spherical geometry; and the formation and construction of determinate geometrical equations.
(3.) Trigonometry.—The solution of all the cases in plane and spherical trigonometry; analytical investigation of trigonometrical formulæ; and the construction of trigonometrical tables.
(4) Mensuration and Surveying.—Mensuration of planes; surfaces and volumes; principles and practice of common land surveying; different methods of plotting and calculating such surveys; trigonometrical surveying; measurement of heights and distances; leveling; and use of instruments in plotting, surveying, &c.
(5.) Descriptive Geometry.—The graphic illustration and solution of geometrical problems in space; and the particular application of this method to spherical projections, construction of maps, to shades and shadows, and perspective, and isometric projections.
(6.) Analytical Geometry.—Construction of algebraic expressions; solution of determinate problems; determination and discussion of the equations of the right line, plane and conic sections; discussion of the general equations of the second degree involving two or three variables; determination of loci, &c.
Differential and Integral Calculus, with its application to maxima and minima, the drawing of tangents, rectification of curves, radii of curvatures, quadratures, cubatures, &c.
IV. French Language.—This course will comprise:
French Grammar; reading and writing French; and translating (from text and orally) English into French and French into English.
V. Spanish Language.—This course will comprise:
Spanish Grammar; reading and writing Spanish; and translating (from text and orally) English into Spanish and Spanish into English.