Lectures related to Great circle

Residue Theorem: Calculating Integrals on Closed Curves

Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.

Explores geodesics on surfaces, focusing on minimizing distances and properties of paths, with examples like great circles on spheres.

Ellipse and Circle: Geometric Analysis

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

Analytical Geometry: Hyperbola and Ellipse

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

AutoCAD: Basic Functions for Vault Plan

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

Conic Sections: Basics and Properties

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

Vectorworks Basics & Attributes

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

Perspective of a Sphere & a Circle

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

Intersection between Sphere and Cone

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

Descriptive Geometry: The Sphere

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

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 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.

Thematic attributes and classification

Covers the creation of thematic maps and the class setting in statistical thematic mapping.

Geometrical Aspects of Differential Operators

Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.

Parametrized Curves in 2D

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

Untitled

Curve Length

Explores the concept of curve length and its geometric properties.

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.

Curves in Space

Explores approximating curves in space and preparing for an upcoming exam.