Lectures related to Nine-point circle

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.

Analytical Geometry: Triangle Properties

Explores triangle properties like inequalities, medians, and orthocenters using analytical geometry.

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

AutoCAD: Basic Functions for Vault Plan

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

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.

Ellipse: Parametric Equations and Tangents

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

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.

Vectorworks Basics & Attributes

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

Intersection between Sphere and Cone

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

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Parametrized Curves in 2D

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

Geometrical Aspects of Differential Operators

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

Curve Length

Explores the concept of curve length and its geometric properties.

Descriptive Geometry: Cones and Cylinders

Explores section planes of circular cones and their intersections with lines.

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.

General Conics: Symmetry and Elimination

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

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.