Spatial geometry: introduction to modes of representation

Students will sit a written examination on the material pertaining to Monge in the January session, at the end of the quadrimester.
The evaluation of the material on axonometry will be based on a graded exercise that will be handed in upon completion of the practical assignments.

Theoretical notions will be presented and then explored in increasing depth by resolving problems that arise in the course of practical assignments.

The students assimilate the general notions in order to constitute a synthetic vision of the material. They will be called on in class in order to encourage active learning. Then, students test their knowledge by attempting to find essentially graphic solutions to problems that arise in the course of practical assignments. Students will constantly have occasion for self-evaluation, particularly through the publication on Moodle of their solutions to assigned exercises.

MONGE I

1. Enumeration and description of the different modes of graphic representation using projections, and '.of the peculiarities of Monge's method
2. Definition of the vocabulary necessary for understanding Monge's theory
3. Drawing of a triangular pyramid and presentation of the mode of projection
4. Representation and manipulation of straight lines in space
5. Finding the true length of a line segment by the the techniques of rabattement and rotation
6. Peculiarities of secant, parallel and perpendicular lines

AXONOMETRY

1. Elaboration of the different kinds of axonometry and of their peculiarities.
2. Enumeration of the modes of projection.
3. Development of a type of axonometric image and definition of the theoretical shadow on the same system of axes.

Guion, A. Cours de géométrie Descriptive :Tome 2, Méthode des plans cotés. Bruxelles : édition De Boeck, 1969

De Sloovere H. Cours de Géométrie Descriptive : Méthode de Monge. Bruxelles : édition De Boeck, 1991

JUNGMANN, J-P. Ombres et lumières : un manuel de tracé et de rendu. Paris : édition de la Vilette, 1995

Aubert J. Cours de dessin d'architecture à partir de la géométrie descriptive. Paris : édition de la Vilette, 1980

De Herde A., Gracia E. et Le Paige M. Guide d'aide à la conception bioclimatique. Louvain-La-Neuve : Ed. C.R.A.,Architecture et Climat, 1986

Carlo Argan, Carlo. Perspective et histoire au Quattrocento. Chatillon-sous-Bagneux : édition de la passion, 1990

Durant, J-P. La représentation du projet : Approche pratique et critique. Paris : édition de la Vilette, 2003

Savignat, J-M. Dessin et architecture du Moyen-âge au XVIIIème siècle. Paris : Ecole Nationale Supérieure des Beaux-arts, 1980

Ludi, Jean-Claude. La perspective pas à pas : Manuel de construction graphique de l'espace et tracé des ombres. Paris : Dunod, 2009 (3ème édition)