2. A board of discipline, consisting of the second in command, the director, two professors, three captains (of the school,) and two captains of the army, chosen from former pupils. The duty of this board is to decide upon cases of misconduct. 3. A board of instruction, whose members are, the commandant, the second in command, the director, the examiners of students, and the professors; and whose chief duty is to make recommendations relating to ameliorations in the studies, the programmes of admission and of instruction in the school, to-- 4. A board of improvement, charged with the general control of the studies, formed of-- The Commandant, as President. The Second in Command. The Director of Studies. Two Delegates from the Department of Public Works. One Delegate from the Naval Department. One Delegate from the Home Department. Three Delegates from the War Department. Two Delegates from the Academy of Sciences. Two Examiners of Students. Three Professors of the School. III. CONDITIONS AND EXAMINATIONS FOR ADMISSION. The entrance examination is held yearly in August; the most important conditions for admission to it are always inserted in the _Moniteur_ early in the year, and are-- 1st. All candidates must be bachelors of science. 2nd. All candidates (unless they have served in the army) must have been as much as sixteen and not more than twenty years old on the 1st of January preceding. 3rd. Privates and non-commissioned officers of the army must be above twenty and under twenty-five years of age; must have served two years, and have certificates of good conduct. 4th. Candidates who propose to claim pecuniary assistance (a _bourse_ or _demi-bourse_) must present formal proofs of their need of it. 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.