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Related lectures (30)
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General Conics: Symmetry and Elimination
Covers the concepts of mixed product, cross product, homo coordinates, and general conics.
Frenet-Serret Formulas: Curvature and Torsion
Explores the Frenet-Serret formulas for curvature and torsion in three-dimensional space.
Geometry: Passage to Space
Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.
Geometry and Complex Numbers: Circles in the Complex Plane
Explores equations and properties of circles in the complex plane.
Homogeneous Coordinates and Curves
Explores homogeneous coordinates, curves, and unique solutions in Cartesian coordinates.
General Conics and Homogeneous Coordinates
Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.
Analytical Geometry: Circles and Planes
Explores equations of circles, tangents, and planes in analytical geometry.
Geometry: Ellipse and Hyperbola
Explores the properties of ellipses, hyperbolas, circles, and products in geometry.
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.
Conic Sections: Determining Parameters
Explores the determination of conic section parameters and the laws of Kepler in celestial mechanics.