Geometry I: Euclidean Propositions & Symmetry

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Affinity and Ellipses in Descriptive Geometry

Explores affinity in geometry, segment construction, ellipses, and circle projections.

Elliptical Arch Construction

Explores the construction of elliptical arches using a single ellipse arc.

Geometry: Inaugural Proposition

Explores the common inaugural proposition of Euclid and Vitruvius, focusing on commensurability and geometric figure construction.

Power of a Point in Geometry

Explores the power of a point outside a circle and its practical applications.

Introduction to Non-Euclidean Geometry

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

Inversion & Family of Orthogonal Circles

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

Geometric Transformations: Meanings and Applications

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

Conics in the Plane: Uniform Description of 3 Conics

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Geometry: Euclidean Propositions and Architectural Foundations

Explores Euclid's first proposition and its architectural implications, emphasizing the enduring relevance of classical geometric principles in contemporary architectural practice.

Live Written Correction: Centroids and Distributed Forces

Covers live written corrections for exercises on centroids and distributed forces in structural mechanics.