Conic Sections: Definitions and Equations

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Conics in Geometry: Ellipses, Parabolas, and Hyperbolas

Provides an overview of conics, including ellipses, parabolas, and hyperbolas, focusing on their properties, equations, and applications in geometry and physics.

Geometry of Hyperbolas and Ellipses

Explores the construction of hyperbolas and ellipses, along with geometry properties and exercises on circles.

Geometry: Ellipse and Hyperbola

Explores the properties of ellipses, hyperbolas, circles, and products in geometry.

Conic Sections: Equivalence and Intersection

Delves into the historical context and mathematical properties of conic sections like parabolas, ellipses, and hyperbolas.

Geometric Modeling for Architects: Ellipses and Structures

Covers the geometric modeling of ellipses and their applications in architecture.

Conic Sections: Ellipse and Hyperbola

Explores properties of conic sections, center, equations, and coordinate transformations.

Geometric Properties of Conics: Ellipses and Their Applications

Covers the geometric properties of ellipses, their definitions, and applications in mathematics and astronomy.

General Conics and Homogeneous Coordinates

Covers general conics, homogeneous coordinates, conic recognition, and matrix decomposition.

Analytical Geometry: Hyperbola and Ellipse

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

Ellipses in Astronomy and Mathematics: Key Concepts

Covers the properties and applications of ellipses in astronomy and mathematics, including Kepler's laws and practical construction methods.