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Osculating circle
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Related lectures (30)
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Curvature and Osculating Circle
Covers curvature, osculating circles, and the evolute of plane curves, with examples and equations.
Residue Theorem: Calculating Integrals on Closed Curves
Covers the application of the residue theorem in calculating integrals on closed curves in complex analysis.
Osculating Planes and Parameterized Curves
Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.
Ellipse and Circle: Geometric Analysis
Covers the geometric analysis of ellipses and circles, including foci, center, and symmetry.
Differential Geometry: Parametric Curves & Surfaces
Introduces the basics of differential geometry for parametric curves and surfaces, covering curvature, tangent vectors, and surface optimization.
Analytical Geometry: Hyperbola and Ellipse
Covers the concepts of the hyperbola and ellipse in analytical geometry.
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.
Geometrical Aspects of Differential Operators
Explores differential operators, regular curves, norms, and injective functions, addressing questions on curves' properties, norms, simplicity, and injectivity.
Differential Geometry: Curves
Explores the geometry of parametric curves, covering tangent vectors, curvature, and curve smoothing techniques.
Perspective of a Sphere & a Circle
Explores conical sections, plane curves, and the perspective of a sphere and a circle.
Ellipse: Parametric Equations and Tangents
Discusses parametric equations, eccentricity, and ellipse tangents, including horizontal and vertical tangents.
Descriptive Geometry: The Sphere
Explores the properties and sections of a sphere, including symmetry, tangent planes, and circle projections.
Hyperbolic Functions: Circle and Hyperbola
Explores the connection between hyperbolic and trigonometric functions through circles and hyperbolas.
Conic Sections: Basics and Properties
Explores the properties and equations of conic sections, emphasizing geometric interpretations and special characteristics.
Curve Length
Explores the concept of curve length and its geometric properties.
Curves in Space: Singularities and Developments
Covers curves in space, including singularities, Frenet frame, and development curves.
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.
Parametrized Curves in 2D
Covers the concept of parametrized curves in 2D and their properties.
Physics 1: Normal Acceleration and Spatial Rotations
Explores normal acceleration, spatial rotations, vector rotation, and angular speed concepts in physics.
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