Relative Positions: Basics

Related lectures (26)

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Explores the properties of orthogonal projection and the Monge method for projecting points in space.

Introduces the fundamental concepts of Euclidean geometry, exploring postulates, parallel lines, and non-Euclidean geometries.

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

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Explains the geometric definitions of cones and cylinders in space and their tangent properties.

Explores the historical and practical applications of geometry in architecture, emphasizing key geometric principles in architectural design.

Explores geometric transformations, invariant properties, and mean relationships in modern geometry.

Introduces the 5th postulate in Euclidean geometry and explores non-Euclidean geometries and their implications.

Explains the Theorem of Three Perpendiculars and shadow casting of points on planes.

Covers the fundamental operations and constructions in Euclidean geometry, focusing on algebraic interpretations and ruler-and-compass constructions.