Conic Sections & Gnomonics

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Related lectures (29)

Sphere, Cone, and Cylinder: Descriptive Geometry

Explores spheres, cones, and cylinders, including intersections, ruled surfaces, and conic sections with practical examples.

Ellipses and Conics Log in to Mediaspace to watch this video

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

Conic Sections: Ellipse, Parabola, Hyperbola Log in to Mediaspace to watch this video

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

Conic Sections: Equivalence and Intersection Log in to Mediaspace to watch this video

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

Conics in the Plane: Uniform Description of 3 Conics Log in to Mediaspace to watch this video

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

Geometric Modeling for Architects: Ellipses and Structures Log in to Mediaspace to watch this video

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

Dandelin Theorem: Ellipse Construction Log in to Mediaspace to watch this video

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

Introduction to Conic Sections in Space Log in to Mediaspace to watch this video

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

Descriptive Geometry: Cones and Cylinders Log in to Mediaspace to watch this video

Covers the geometry of cones and cylinders, including sections of conics and Dandelin's theorem.

Conic Synthesis in the Plane Log in to Mediaspace to watch this video

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

Geometry: Passage to Space Log in to Mediaspace to watch this video

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

Ellipses in Astronomy and Mathematics: Key Concepts Log in to Mediaspace to watch this video

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

Geometric Properties of Conics: Ellipses and Their Applications Log in to Mediaspace to watch this video

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

Conic Sections: Planar Curves Log in to Mediaspace to watch this video

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

Descriptive Geometry: Cones and Cylinders Log in to Mediaspace to watch this video

Explores the analysis of conic sections on circular cones and cylinders, including ellipses, parabolas, and hyperbolas.

Geometry: Instrument Epicycle Log in to Mediaspace to watch this video

Explores the invention of instruments by artists like Albrecht Dürer to draw complex curves and lines not achievable with a ruler.

Hyperboloid Surfaces: Sections and Developability Log in to Mediaspace to watch this video

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

Conic Sections: Definitions and Equations Log in to Mediaspace to watch this video

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

Analytical Geometry: Conic Sections Log in to Mediaspace to watch this video

Covers the properties and equations of conic sections.

Homogeneous Coordinates and Conics Log in to Mediaspace to watch this video

Explores homogeneous coordinates, conics like ellipses, hyperbolas, and parabolas, and rewriting equations.

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