MATH-124: Geometry for architects I

Lectures in this course (112)

Explores elementary geometric operations and historical perspectives, including Descartes' and Newton's contributions and Thales' theorem.

Explores inversion, orthogonal circles, unique projective, and non-constructible figures in geometry.

Explores non-Euclidean geometries, hyperbolic and spherical, challenging the traditional Euclidean geometry with implications for modern mathematics.

Explains measuring angles in trigonometric direction and determining angles at line intersections.

Covers circle orthogonal and Poincaré disk concepts in geometry.

Explores Euclidean propositions, symmetry evolution, and geometric constructions in architecture.

Explores non-constructible geometric figures like Quadrature & Trisection beyond Euclidean elements.

Explores the concept of inversion in geometry and its applications in constructing orthogonal circles.

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

Explores the historical and mathematical aspects of quadrature and trisection in geometry, including the challenges faced by ancient mathematicians.

Explores elementary operations in geometry, focusing on angles and the power of a point with respect to a circle.

Explores the historical methods of quadrature and trisection in geometry, including their applications in architecture.

Delves into the historical challenge of duplicating the cube, exploring construction methods, misattributions, and geometric concepts.

Explores the challenges of geometric constructions using ruler and compass.

Delves into topology, homomorphism, and their practical implications on CAD software.

Explores how sketches in TopSolid manage seams and cuts of different profile types in Computer-Aided Design.

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