Projective Geometry: Fundamentals and Applications

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Related lectures (26)

Page 2 of 3

Explores the classification and practical applications of symmetries in 3D space, emphasizing user-driven determination of object symmetries.

Non-Euclidean Geometries

Explores non-Euclidean geometries, including hyperbolic geometry and the tractricoid model, challenging Euclidean principles and introducing projective geometry.

Angle at the Center & Power of a Point

Explores angles at the center of a circle and the power of a point relative to a circle, emphasizing their importance in geometry and CAD software.

The 3 Branches: Geometric Means & Constructibility

Delves into ancient geometric means, transformations, and projective geometry's birapports.

Sphere and Projective Plane

Explores examples related to the sphere and the projective plane.

Elementary Operations in Geometry

Explores exterior angles in triangles, inscribed angles in circles, and a point's power relative to a circle.

Isometries & Orientation in Modern Geometry

Explores true angle magnitude, reflections, isometries, and symmetries in modern geometry, with practical CAD applications.

Linear Dependence of Vectors

Explores linear dependence of vectors, demonstrating examples and conditions for collinearity.

Angle at the Center & Power of a Point

Explores the angle at the center and the power of a point relative to a circle, demonstrating key theorems and geometric concepts.

Geometric Means: Ancient Theories and Modern Applications

Delves into ancient geometric means and their modern applications in geometry.