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Descriptive geometry.

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Geometry, Descriptive --- 514 --- 514.18 --- Engineering design --- Descriptive geometry --- Geometrical drawing --- Projection --- Design, Engineering --- Engineering --- Industrial design --- Strains and stresses --- Geometry --- Design --- 514.18 Descriptive geometry --- 514 Geometry

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At the Department of Mathematics of the Faculty of Science and Technology of the University of Coimbra we can observe a collection of five geometric models, mounted on boxes or wooden brackets, in all analogous to the idealized by Théodore Olivier (1793-1853) to expose some of the contents of the descriptive geometry. Deprived of his first function of teaching support, the models of descriptive geometry continue to carry out the important mission of reminding us of an already distant past but we must not forget. This is also the main objective of this text, dedicated to the class of descriptive geometry of the Faculty of Mathematics of the University of Coimbra and his collection of Olivier models.

Olivier models --- Descriptive geometry --- Department of mathematics of the university of coimbra

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The theory of exterior differential systems provides a framework for systematically addressing the typically non-linear, and frequently overdetermined, partial differential equations that arise in differential geometry. Adaptation of the techniques of microlocalization to differential systems have led to recent activity on the foundations of the theory; in particular, the fundamental role of the characteristic variety in geometric problems is now clearly established. In this book the general theory is explained in a relatively quick and concrete manner, and then this general theory is applied to the recent developments in the classical problem of isometric embeddings of Riemannian manifolds.

Exterior differential systems. --- Differential equations, Partial. --- Embeddings (Mathematics) --- Riemannian manifolds. --- American Mathematical Society. --- Combination. --- Descriptive geometry. --- Embedding. --- Geometry. --- Integer. --- Mathematics. --- Mechanical engineering. --- Subgroup. --- Theorem. --- Theory.

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SPACE FRAMES --- STRUCTURAL FORMS --- PROJECTIVE GEOMETRY --- ARCHITECTURAL RENDERING --- FOLDED PLATES --- SKIN STRUCTURAL MEMBER --- SHELLS STRUCTURAL FORMS --- CYLINDRICAL SHELLS --- DESCRIPTIVE GEOMETRY --- ESTHETICS --- EXTENDIBLE STRUCTURES --- SPACE FRAMES --- STRUCTURAL FORMS --- PROJECTIVE GEOMETRY --- ARCHITECTURAL RENDERING --- FOLDED PLATES --- SKIN STRUCTURAL MEMBER --- SHELLS STRUCTURAL FORMS --- CYLINDRICAL SHELLS --- DESCRIPTIVE GEOMETRY --- ESTHETICS --- EXTENDIBLE STRUCTURES