Geometric Projections: Understanding Monge's Method

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Covers the concept of perspective in geometry and the radial method of creating images using central projection.

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Discusses the mathematical concepts of cylinders and their parametrizations, including surface area, volume, and related exercises.

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Covers the principle of virtual work and its applications in structural mechanics through various exercises and detailed calculations.

Covers the key principles of structural design and their implications for architects.

Explores homotheties and translations in geometry, focusing on preserving alignment and distances.

Discusses distributed loads, focusing on centroids and centers of mass in structural mechanics.

Discusses geometric principles in architecture, focusing on hyperboloids and paraboloids and their applications in design and structural engineering.

Covers the modeling and analysis of arches and cables in structures.