Lectures related to Elementary Study of Conics

Conics in the Plane: Uniform Description of 3 Conics

Explores the construction and properties of parabolas, ellipses, and hyperbolas in the plane.

Introduction to Conic Sections in Space

Covers the introduction to conic sections in space, focusing on ellipses and their properties.

Ellipses and Conics

Explores ellipses, conic sections, Kepler's laws, and geometric reconstruction in architectural modeling.

Conic Synthesis in the Plane

Explores the synthesis of conic sections in the plane, covering eccentricity ratios and parametric equations.

Geometric Properties of Ellipses and Their Applications

Explores the geometric properties of ellipses, their parametric equations, and applications in architecture and design.

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.

Geometric Modeling for Architects: Ellipses and Structures

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

Conic Sections: Definitions and Equations

Explores the definitions and equations of conic sections, including parabolas, ellipses, and hyperbolas, with practical geometric applications.

Dandelin Theorem: Ellipse Construction

Explores ellipse construction using the Dandelin theorem and properties of conics in space.

Conic Sections: Equivalence and Intersection

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

Analytical Geometry: Cartesian Equations

Explores Cartesian equations for lines in a plane and their parametric descriptions.

Conic Sections: Ellipse, Parabola, Hyperbola

Explores conic sections like ellipse, parabola, and hyperbola, their properties, constructions, and perspectives in 2D and 3D spaces.

Analytical Geometry: Hyperbola and Ellipse

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

Analytical Geometry: Cartesian Equations of Planes

Explores Cartesian equations of planes in space and their applications to metric problems.

Analytical Geometry: Cartesian Equations

Covers Cartesian equations in analytical geometry, focusing on encoding line directions and unique equations.

Analytical Geometry: Lines Study

Covers the analytical study of lines in a plane, focusing on equations and geometric interpretations.

Geometric Properties of Conics: Ellipses and Their Applications

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

Descriptive Geometry: Cones and Cylinders

Explores proper shadows, cast shadows, section planes, and conic sections.

Analytical Geometry in Space: Chapter 8

Covers Chapter 8 on Analytical Geometry in Space, focusing on coordinate systems and equations of lines.

Conic Sections: Parabola

Explores the properties and equations of the parabola, including its locus and key parameters.