Lectures related to Squaring the circle

Ellipse and Circle: Geometric Analysis

Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.

General Conics and Motor Blocks

Explores general conics, motor blocks, and homo coordinates in matrix decomposition and coefficient calculations.

Analytical Geometry: Hyperbola and Ellipse

Covers the concepts of the hyperbola and ellipse in analytical geometry.

Vectorworks Basics & Attributes

Covers the basics of Vectorworks software and attributes like fill types and shadow settings.

Quadrature & Trisection in Geometry

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

Conic Sections: Basics and Properties

Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.

Perspective of a Sphere & a Circle

Explores conical sections, plane curves, and the perspective of a sphere and a circle.

Descriptive Geometry: The Sphere

Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.

AutoCAD: Basic Functions for Vault Plan

Covers the basic functions of AutoCAD for creating a vault plan, including tools, properties, and parametric modifications.

Ellipse: Parametric Equations and Tangents

Discusses parametric equations, eccentricity, and ellipse tangents, including horizontal and vertical tangents.

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.

Intersection between Sphere and Cone

Explores the intersection between a sphere and a cone using spherical and cylindrical coordinates.

Quadrature & Rectification

Explores the historical problems of quadrature, pi approximation, angle trisection, and the use of conchoid in architecture.

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Geometric Operations: Inversion & Orthogonal Circles

Explores geometric operations like inversion, orthogonal circles, and cube duplication, emphasizing historical significance and modern construction methods.

Parametrized Curves in 2D

Covers the concept of parametrized curves in 2D and their properties.

Curve Length

Explores the concept of curve length and its geometric properties.

General Conics: Symmetry and Elimination

Covers the concepts of mixed product, cross product, homo coordinates, and general conics.

Parametric Curves: Limaçon de Pascal

Introduces the Limaçon de Pascal, a parametric curve with unique properties.

Parametric Curves: Pascal's Limaçon

Introduces the Limaçon de Pascal, a curve described by a moving point on a circle.