The plans are made according to programmes, of which the conditions are different for different pupils. The drawings are in general accompanied with decimal scales, expressing a simple ratio to the meter. They carry inscriptions written conformably to the admitted models, and are, when necessary, accompanied with verbal descriptions. In the graphic exercises of the first part of the course, the principal object is to familiarize the pupils with the different kinds of geometrical drawing, such as elevations and shaded sections, oblique projections and various kinds of perspective. The pupils are also accustomed to different constructions useful in stereotomy. The subjects for graphic exercises in stereotomy are taken from roofs, vaults, and staircases. Skew and oblique arches are the subject of detailed plans. _FIRST YEAR._ DESCRIPTIVE GEOMETRY.--GEOMETRICAL DRAWING. LESSONS 1-3. _Revision and Completion of the Subjects of Descriptive Geometry comprised in the Programme for Admission into the School._ Object of geometrical drawing. Methods of projection. Representation of points, lines, planes, cones, cylinders, and surfaces of revolution. Construction of tangent planes to surfaces, of curves, of intersection of surfaces, of their tangents and their assymplotes. Osculating plane of a curve of double curvature. A curve in general cuts its osculating plane. When the generating line of a cylinder or a cone becomes a tangent to the directrix, the cylinder or cone in general has an edge of regression along this generating line. The osculating plane of the directrix at the point of contact touches the surface along this edge. Projections of curves of double curvature; infinite branches and their assymplotes, inflections, nodes, cusps, &c. Change of planes of projection. Reduction of scale; transposition. Advantage and employment of curves of error; their irrelevant solutions. LESSONS 4-6. _Modes of Representation for the Complete Definition of Objects._ Representation by plans, sections, and elevation. Projection by the method of contours. Representation of a point, a line, and a plane; questions relative to the straight line and plane. Representation of cones and cylinders; tangent planes to these surfaces. LESSONS 7-11. _Modes of Representation which are not enough in themselves to define objects completely._ Isometrical and other kinds of perspective. Oblique projections. Conical perspective: vanishing points; scales of perspective; method of squares; perspective of curved lines; diverse applications. Choice of the point of sight. Rules for putting an elevation in perspective. Rule for determining the point of sight of a given picture, and for passing from the perspective to the plan as far as that is possible. Perspective of reflected images. Notions on panoramas. LESSONS 12-13. _Representations with Shadows._ General observations on envelops and characteristics.