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The structure of course of lectures, proposed by Gaspard Monge in the late 18th century, is considered in detail. Monge foresees 120 lectures for descriptive geometry. The main course, without shadows and perspective, is divided into 5 sections, each of which is devoted to a certain themes. In the first section the projections deriving is described, and two main goals are given. Here we face with the notion of geometric locus, elements of differential and projective geometries. The second section considers the tangent planes and normals. These elements’ use in painting and building are demonstrated. The third section has been devoted to the theory related to construction of curved surfaces intersections. The solution of tasks has been considered in the fourth section. The fifth section has been devoted to the curved lines. Gaspard Monge proposes the developed course of descriptive geometry not as a set of interesting geometric tasks, but as a solution of specific application tasks inherent to the industry, building, art, and military science.
Сальков et al. (Tue,) studied this question.