Parametric Curves: Limaçon de Pascal

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Parametric Curves: Pascal's Limaçon

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

Curvature and Osculating Circle

Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.

Geometrical Aspects of Differential Operators

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

Surface of Revolution

Explains the parametric equations of surfaces of revolution generated by curves in space.

Ellipse and Circle: Geometric Analysis

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

Parametrized Curves in 2D

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

Parametric Curves - Introduction

Introduces parametric curves and discusses tangent vectors and symmetry properties.

Regular Curves and Constant Speed

Covers regular curves and constant speed, with examples of circles and helices.

Parametric Curves: Introduction

Covers parametric curves, including examples, symmetry, tangent vectors, and derivative signs.

Descriptive Geometry: The Sphere

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