Lectures related to Conic Synthesis in the Plane

Conics in the Plane: Uniform Description of 3 Conics

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

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

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.

Ellipses and Conics

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

Elliptical Trajectories: Epicyclic System & Instruments

Explores elliptical trajectories in the Copernican system and the instruments used to trace them.

Dandelin Theorem: Ellipse Construction

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

Geometric Properties of Ellipses and Their Applications

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

Conic Sections: Ellipse, Parabola, Hyperbola

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

Conic Sections: Definitions and Equations

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

Geometric Modeling for Architects: Ellipses and Structures

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

Geometric Properties of Conics: Ellipses and Their Applications

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

Conic Sections: Equivalence and Intersection

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

Geometry: Passage to Space

Explores the transition from 2D to 3D geometry, covering conical sections, spatial curves, and equivalent shapes.

Conic Sections: Planar Curves

Explores conic sections, such as ellipses, hyperbolas, and parabolas, focusing on their geometric and algebraic properties and practical applications.

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.

Analytical Geometry: Conic Sections

Covers the properties and equations of conic sections.

Conic Sections: Parabola

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

Elementary Study of Conics

Explores the elementary study of conics, defining circles, ellipses, and lines in the plane with geometric strokes and variable elements.

Ellipse: Astronomical Evolution to Mathematical Formulation

Explores the transition from geocentric to heliocentric models and the mathematical principles behind elliptical trajectories.

Conic Sections: Ellipse, Hyperbola, Parabola

Explores properties and equations of conic sections like ellipse, hyperbola, and parabola.