Lectures related to Ellipses in Astronomy and Mathematics: Key Concepts

Geometric Modeling for Architects: Ellipses and Structures

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

Ellipses and Conics

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

Geometric Properties of Conics: Ellipses and Their Applications

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

Conics in the Plane: Uniform Description of 3 Conics

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

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.

Introduction to Conic Sections in Space

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

Conic Sections: Equivalence and Intersection

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

Conic Sections: Ellipse, Parabola, Hyperbola

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

Ellipse: Astronomical Evolution to Mathematical Formulation

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

Conic Sections: Definitions and Equations

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

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 Curves in Geometry

Explores ellipses, curves, and their applications in astronomy and mathematics.

Kepler's Laws: Elliptical Orbits

Explores Kepler's laws and the transition to elliptical orbits, emphasizing the mathematical construction and geometric properties of conic sections.

Forces Centrales and Kepler's Laws

Explores central forces, trajectories, acceleration, and conic shapes in physics.

Hyperboloid Surfaces: Sections and Developability

Delves into the properties of hyperboloid surfaces and their sections, emphasizing developability and curvature.

Inequality of Seasons: Earth's Orbit Representation

Explores the inequality of seasons by examining the Earth's orbit and the causes of the seasons in architecture and gnomonics.

Geometric Surfaces: Paraboloids and Hyperboloids in Architecture

Explores the geometric properties of paraboloids and hyperboloids in architecture, emphasizing their design implications and practical applications.

Concatenation of Arcs in Geometry

Delves into the historical and geometric aspects of arc concatenation, including ellipse approximation and architectural applications.

Conic Synthesis in the Plane

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